Historic, archived document Do not assume content reflects current scientific knowledge, policies, or practices. Senet estes SE ERE A e ra = — : 7. EE EES TN oe Pe EES epee ree TAY i oog é 7 . Vereen ft i : J mat pes awl . | UNITED STATES DEPARTMENT OF AGRICULTURE MISCELLANEOUS PUBLICATION NO. 225 Washington, D. C. July 1935 CONVERTING FACTORS AND TABLES OF EQUIVALENTS USED IN FORESTRY Prepared in the Division of Silvical Research, Forest Service For sale by the Superintendent of Documents, Washington, D.C. --------+-- 77777 Price 15 cents UNITED STATES DEPARTMENT OF AGRICULTURE MISCELLANEOUS PUBLICATION NO. 225 July 1935 Washington, D. C. CONVERTING FACTORS AND TABLES OF EQUIVALENTS USED IN FORESTRY Prepared in the Division of Silvical Research, Forest Service ! CONTENTS Page | Tables—Continued. Page Mao GUCHONVal: 2222 satese Ses See 2h ot 1 Ratios for customary map scales__-__-_____ 13 TaO] OSS De ARR cee eta ep mal nen Sa anata alae Oiee 2 Scale of velocity equivalents of the Weenotits rte aes fe ere _2 2 Beaufort scale of wind_________________ 13 LESTE RCE Co oie ee ee 3 Relative mumudily, =o 5 492 14 Volume and capacity_____._____________- 3 Quartercirthyumitss: ss 2 See 15 \WGIRAn pone So 2 Une ee kn ae ay Gk ae eae oa ee 4 Natural trigonometric functions_________ 15 WELOOT Ny Se 2 kT RED Rone ATS eer ee men 4 International log rule!_— 222-222 16 Tea ee ee eee | 5 Scribner decimal C log rule_________._____ 17 Weight as applied to length______________ 5 Solid cubic contents of logs. _____________ 18 Weight or pressure as applied to area____ 5 Comparison of log rules__________________ 19 Weight as applied to volume___________. GMO ant Ge eee mcmin re bon ign sh ae Cente 21 Volume of various units of weight of Temperature, figure 1___________________ 21 CCl eee en es re ea he PN en ee 6 Wengthemeownresi2-3... = ss 23,25 Weight of various units of volume of Areas neuresia jes’ fo eee et 27-33 (WIIG ee ae ee 7 Volume, figures 8-10____________-________ 35-39 Rainfall per unit area____________________ 7 AWieie lat efi ore ie e ee 41 Reservoir capacity_________ 5 Oa eats | Se 7 BOwer fewune gop 25.032 228.2 S 5 ee 43 Discharge or flow of water______.________ 8 Wood volume, figure 13_________________ 45 Approximate quantities of forest prod- Wood volume and basal area per unit of ucts represented by board foot measure_ 8 area, figures 14-15______________________ 47,49 Approximate equivalents of forest prod- Weight and volume per unit of area, TCLS RIN sas | END eB See es on ced by 8 Newre iG {yy LL A) ee oe Se 51 ATER OLSQUATES eee Ma 9 Volume per unit of area and weight per Area of small circles (basal area) ___--_-_- 10 unit of volume, figure 17_______________ 5 Area of large circles_____________________- 12 Discharge or flow of water, figure 18____- 55 Number of trees per acre_______________- 12 Value per unit of area, figure 19__________ 57 Grades and slopes____.___..._._________- 12 Coefficients of correlation, figure 20______ 50 INTRODUCTION The increasing use of metric measurements in the natural sciences is causing considerable confusion and difficulty in interpreting data. This is particularly marked in forestry where not only are direct measurements involved, but these measurements are also applied to different units of area. Thus while the conversion of centimeters to inches is a relatively simple matter, the conversion of board feet per acre to cubic meters per hectare is fraught with difficulties which are further increased when monetary values are involved. The purpose of this handbook is to provide members of the Forest Service with conversion factors and forest measurements that are more or less fre- quently encountered in forestry literature. These are expressed in tabular form where it appears most advantageous to do so; in the 1 By E. N. Munns, assisted by Theresa (. Hoerner and V. A. Clements. 12°035—35——1 1 SSS 7 >? 7 — “. ——— oe - Z, MISC. PUBLICATION 225, U.S. DEPT. OF AGRICULTURE other cases a series of alinement charts have been prepared which permit the direct determination of values in multiple form. There are included also certain other tables giving data more or less com- monly used in forest calculations. In the tables the unit value on which the conversion is based is indicated as 1. Conversion units are not carried beyond six decimal places. When the final digit is not exact but represents a rounding to the nearest value, it is italicized. Figures in parentheses ( ) below the decimal figure are approximate values for use in rough calculations where a high degree of accuracy is unnecessary. Figures in brackets [ 1 below the decimal figure are exact values. The tables are adapted for ready use. An example or two will best illustrate this. Given the average height of a stand as 42.67 meters, to convert to feet: In table 1, column 9 is headed ‘‘ Meters’’; on the same line with the figure 1 in this column will be found all the various conversion factors that are likely to be needed by the forester; the factor under ‘‘Feet”’ is 3.280833, by which the given height, 42.67 meters, is converted to 139.993 feet. Similarly, a cubic centimeter of a certain tree seed weighs 0.35 gram; how much will a bushel, avoirdupois, of this seed weigh? In table 9 the factor for pounds per bushel, found by locating first the figure 1 under ‘Grams per cubic centimeter” is 77.6893. This factor gives 27.19 pounds per bushel. In all the tables, United States units of weight are understood to be avoirdupois unless otherwise specified. TABLES TABLE 1.—Length; unit conversion factors, with approximate values Inches Links Feet Yards Rods Chains!]| Miles ? ene _| Meters nae 31 | 0. 126263 | 0: 083333 | 0.027778 OOO SOS | ie ea ee ee 2. 540605 ONO2 5a | are (4%) [Me] [6] (400) (24) (140) 7. 92 1 0. 66 0. 22 0. 04 QSOS esa eee 20. 11684 OS2OMG Sa za (74) [5] [Moo] (20) (%) 12 } 1.515152 31 | 0.333333 | 0.060606 | 0.015152 | 0. 000189 30. 48006 0. 30480/ 0. 600305 (14) [44]. (Me) [Yo] (30) (0) 36 | 4. 545455 3 31] 0.181818 | 0.045455 | 0. 000568 91. 44018 0. 914402 0. 000914 (4%) (4%) (42) (Mo) 0. 3937 OOO I OL ORV pO ONO G BY | La i 4] OkOla Ear %) (40) (40) (40) 39. 37 4.97096 | 3. 280833 1.09367 | 0. 198838 0.04971 | 0.000627 160 1 0. CO1 (40) (5) (%) (40) | (4600) Furlongs 198 25 16.5 5.5 1 0. 25 | 0.003125 0. 025 5. 02927 0. 005629 [14] [420] [40] (5) (4400) 792 100 66 22 4 1 0. 0125 Q. 1 20. 1168 0. 020117 [Yo] (20) (40) Siete sax 5, 280 1, 760 320 80 1 8 | 1, 609. 347 1. 609347 (1,600) | - (434) Dien eee 660 220 40 10 0. 125 i 201. 168 0. 201168 [34] (%) 2c, Vee Ee 3, 280. 83 | 1, 093. 61 198. 838 49. 7096 0. 62137 4. 97086 1, 000 i (200) (50) (8) (5) 1 Surveyor’s chain; the engineer’s chain=100 links of 1 foot each is not used. 2 1 nautical mile (termed ‘‘knot’’ as unit of velocity) =1.1516 statute miles=1.85325 km=1 inch of are on the earth’s surface at the Equator. 3 British units: 1 yard=0.914399 m; 1 foot=30.47997 em; 1 inch=2.539998 em; 1 hand=4 inches=10.16 cm; | span=9 inches= 22.86 cm; 1 cubit=18 inches=45.72 em. 41 millimeter=0.1 em=0.03937 inch =0.00328 foot. FACTORS AND TABLES OF EQUIVALENTS USED IN FORESTRY TaBLE 2.—Area or surface; unit conversion factors, with approximate values Square Square inches links 1 | 0.015942 (463): 62. 7264 1 (63) 144 | 2. 295684 1, 296 20. 6612 (20) O), Wy jes oe 1 1,550 | 24.7104 10, 000 11 mm 2=0.01 em 2=0.00155 square inch. Square feet 0. 001076 (ooo) 10. 76387 (11) 4, 356 43, 560 27, 878, 400 107, 638. 7 10, 763, 867 Square yards 1. 19599 (1%) 484 4, 840 3, 097, 600 11, 959. 8 (12,000) 1, 195, 985 21 square chain=16 square rods. . 3 1 acre=area 208.710 (210) feet square=3.16 chains square. Square chains 0. 0001 0. 00023 0. 002066 (¥o00) 0. 002471 (400) 21 10 6, 400 24. 7104 (25) 2, 471. O4 0. 00001 0. 000023 0. 000207 0. 006247 0.1 34 640 2. 471044 (214) 247. 104 (250) Square centi- meters 6. 451626 (675) 404. 6873 929. 034 8, 3861. 31 14 10, 060 Square meters 0. 040469 (%5) 0. 092903 (41) 0. 836131 (4%) 0. OGOL 1 Square miles 0. 000156 [4640c] 0. 0015625 620) 0. 003861 (450) 0. 386101 (2%) 404. 687 4, 046. 87 (4,000) 2, 589, 998 10, 060 1, 000, 000 Hectares Square kilo- meters 0. 040469 (45) 0. 404687 (%) 258. 9998 (260) 1 100 0. 000465 (4500) 0. 004047 (1450) 2. 590 (234) mea a) on ( TABLE 3.—Volume and capacity; unit conversion factors, with approximate valucs United States measure of volume ! Cubie Cubie inches feet United States dry measure, quarts 1 | 0.000579 | 0.014881 1, 728 1. 80469 0. 061023 (es) 61. 0250 (61) 67. 260625 (67) 2, 150. 42 5] 0. 035316 0. 038889 (4s) 1. 24440; (144) 35. 3145 (35) 0. 429684 (25) 0. 859367 (6) 3. 43747 0. 000908 0. 908102 p 32 908. 078 (910) United States apothecaries’ and liquid measure 2 Fluid ounces 128 0. 033814 (%o) 33. 8147 (34) Bushels 0. 03125 [142] 8 28. 3774 Pints 0. 002113 2. 11342 (2) Quarts 0. 001057 (000) 1. 05671 (1) 1, 056. 63 (1,000) Gallons 0. 004329 7. 48052 (744) 0. 264178 (44) 0. 280912 9, 309177 (9) 264. 170 (265) Metric system Cubic centi- meters 3 29. 5737 (30) 473. 179 1, 000. 027 (1,000) 1, 101. 23 35, 239. 28 1, 000, 000 Cubic Liters 4 meters (steres) OROLG3S 7 |e (0) 28. 316 0. 028317 (28) (145) OR O29 a5 al eee (Ya) OR47SG7 4 eee ae (4) 0. aes 0. 000$46 1 3. 785332 0. 003785 (4) (1265) 0. 5010 0. OOOGGL (4000) 1 0. OC/ (4 000) 1. 101198 . 0. 607 (4000) 35. 23833 0. 03526) (35) (40) 999. 973 9 (1,000) 1 1 cubic yard=27 cubic feet = 21.696 bushels=0.764559 m 3 (stere). ? 1 gill=7.21875 cubic inches=4 fluid ounces=0.25 [4] liquid pint=0.125 [44] liquid quart=0.03125 [42] galion =0.118292 liter. 3 1 cubic millimeter=0.001 cm 2=0.00006/ cubic inch. 4 1 liter= volume pure water at 4° C. and 760 mm pressure weighing 1 kg =0.028378 bushel=0.001308 cubic yard. 5 1 cubic foot =0.80356 bushel=0.037037 cubic yard. 6 The British imperial gallon=10 pounds distilled water at 62° F. (and barometer at 30 inches) = 277.418 cubic inches=1.20094 U.S. gallons=0.16054 cubic foot = 4.545963 liters. 71 cubic centimeter =0.999973 milliliter (ml). 8 The British imperial bushel=8 British gallons=2219.340 cubic inches=1.032050 United States bushels= 36.37 liters. 91m 3=1.308 cubic yards. 3 —————— =_—— 3 =—= ————— =< = = ee ee os TaBLE 4.—Wezight; unit conversion factors, with approximate values Avoirdupois weight 2 Grains ! Drams | Ounces | Pounds | Drams | Ounces 1 0. 03657 | 0.002286 | 0.000143 | 0.016667 | 0.002083 $7) [4000 [460] (%oo) 27. 34375 1 0. 0625 | 0.003906 0. 45573 | 0. 056966 [Me] (450) (4%) 437.5 16 31 0. 0625 7. 292 0.9115 (440) [46] 7, 000 256 16 1 116. 667 14. 5833 (1444) 60 | 2.194286 | 0.137143 | 0. 008571 1 0. 125 (2) (Yi [+6] 480 | 17. 55429 1. 09714 0. 06857 1 (1) (4s) 5, 760 210. 651 13. 1657 | 0.822857 96 12 (13) (% ONO15432> |GO8 000567) ae aa oe | ee Ol0002578 ea (%s) 15. 43236 | 0. 564383 | 0.035274 | 0.002205 | 0. 257206 | 0.032157 (15) (4s) (4o) Hundred- Short Long weight tons tons Wis. eee 100 0. 05 0. 045 [140] (440) A al ak pence ee 2, 000 1 0. 89286 (Mo) Dee | eet Ss 2, 240 et? (1M%o) Fives (Dis | ye eee ee ce 2, 204.62 | 1.102317 | 0.984206 (1Mo0) 15, 482. 4 | 0.022046 | 35. 27396 | 2.204622 | 0.001102 | 0. 000984 (35) (2%) Troy and apothecaries’ weight Pounds 0. 002679 2. 679228 (272) 1 The grain is common to avoirdupois, troy, and apothecaries’ systems. 2 British units include 1 hundredweight (long, or one-twentieth long ton)=4 quarters=8 stone=112 oounds=50.8 kg; 1 stone=14 pounds=6.35 kg. 3 1 ounce (avoirdupois) =0.001 cubic foot of water at 16.7° C., or 62.05° F. 41 metric carat =200 mg=3.08647/ grains. § 1 tonne=10 quintals=100 myriagrams. MISC. PUBLICATION 225, U. S. DEPT. OF AGRICULTURE Metric system Milli- j Kilo- grams Grams grams 64. 7989 | 0.064799 |__-_______ (65) (44s) ihapeeerernces, <3 > TRIAS GS | fpr So oe Deiimetaer MS BY GS) se ee (28) dehy? ln 453.592 | 0.453592 (450) (44) £$id. oS 8 BEY RR) fico se (4 Nhe =. = Se STSO3 435 == eee a (31) 2, oe eae & 373. 2418 ! 0.373242 (375) (26) 4] Ox001F 12a 1, 000 1 0. 001 Milliers, tonnes, or metric tons OXO253 59g aes 45. 35924 (440) (45) OL9OTISS a see ee 907. 1849 (%o) (900) O16 Oana ae 1, 016. 05 (1) (1,080) a lg [rey ee A 1, 000 0. 001 1, 080 zt TABLE 5.—Velocity; unit conversion factors, with approximate values Miles per hour Knots per | Meters per | Meters per | Kilometers second per hour SN ee ee Feet per Feet per minute second 1 0. 016667 [¥6o] 60 1 88 1. 46667 (144) 101. 337 1. 68894 (100) (124) 3. 28083 0. 054681 (344) 50 196. 850 3. 28083 (200) (314) 54. 6806 0. 911343 (55) (1) 0. 011364 (Yoo) 0. 681818 (7) 1 1.15155 hour minute 0. 009868 0. 304807 (oo) (43) 0. 592086 18. 2880 (3% (18) 0. 868393 26. 8225 (%) (27) 1 30. 8875 (31) 9). 032376 1 (0) 1. 94253 60 (2) 0. 539593 16. 6667 (19) (17) 0. 00508 (4400) 0. 30480/ (483) 0. 447041 0. 514791 (43) 0. 016667 Veo] 0. 27778 (14) 0. 018288 | FACTORS AND TABLES OF EQUIVALENTS USED IN FORESTRY 5) TaBLeE 6.—Power; unit conversion factors, with approximate values Foot- Foot- Kilogram- : pounds pounds Watts | meters per E sete de Horse Kilowatt per minute | per second second P 1 0. 01667 0. 0226 (Os COLOA5) 5 ee oe AN): EL [Yo] (M5) 60 1 1. ae) 0. 188255 0. 00184 Ok0018 2 eae : 44, 2537 0. 73756 14 0. 101972 0. 00136 0. 00134 0. 001 (45) (34) (Mo) 433. 9799 7. 23300 9. 80665 1 0. 01333 0. 01315 0. 0098 (434) (10) 32, 548. 6 542. 475 735. 499 WS 24 0. as 0. ee 34 33, 000 550 745. 7 76. 04 1. 01387 1 0. 7457 (750) (1) (4) 44, 253. 7 737. 56 1, 030 101. 972 1. 3596 1. 341 (45, 000) (100) (144) (114) 11 watt=107 ergs per second=1 joule per second. 21 force de cheval=1 metric horsepower. TABLE 7.—Weight as applied to length; unit conversion factors, with approximate values Grains per | Pounds per | Pounds per Pounds per| Grams per | Grams per| Kilograms inch yard foot inch meter centimeter| per meter 1 OOO STAB Cee hee Beg ape er ee 2. 551133 O02 0)/ teed ee (400) (24%) C4o) 194. 444 1 0. 333 0. 027778 496. 054 4.96054 | 0.496054 (200) [4] [146] (500 (5) (4) 583. 333 3 1 0. 08333 1488. 16 14. 8816 1. 48816 (600) [42] (1500) (15) dy’ 7, 000 35 12 Pep | Newest ee Sac 178. 579 17. 8579 (180) (18) 0. 391983 0. 002016 0. 000672 0. 000056 a | 0. 01 0. 001 (%) [Moo] [“Yoool WE 39. 198 0. 201597 0. 067197 0. 005600 160 1 0.1 By (40) (4) (4s) (400) ih 391. 9826 2.015911 0. 67197 0. 055998 1, 000 10 1 (400) (2) 24) b y { ' 11 gram per meter=3.5489 pounds per mile=1 kilogram per kilometer. TABLE 8.—Wetght or pressure as applied to area;! unit conversion factors, with approximate values Feet of F Milli- i) Pounds per] Pounds per | water col- Kilograms | Grams per meters of Atmos- 1 square foot |squareinch| umn or cal Pasa mercury pheres t head 2 eUer Tees ecolumunis i t | 0.006944 | 0.016018 ASPS |e RONABBON sues 0. 000473 i [Yaa] (460) (5) (14) LR 144 4] 2.306645 703. 067 70. 3067 51. 7134 0. 068044 } (70) (As) | 62. 4283 0. 433530 51 304. 801 30. 4801 22. 4193 0. 029499 (2214) (%s) | 0. 204817 0. 001422 0. 003281 1 (Ds sD nth em eat 0. 0000968 | (4) (“o0000) 2. 04817 0.01422 0. 03281 10 iia | areata a 0. 000968 | (2) (Yo) ry 2. 784578 0. 019337 0. 044604 6 13. 59545 1. 359545 71 0. 001316 1 (234) (40) (1) 4 2, 116. 28 14. 6964 33. 8993 10, 332. 54 1, 033. 254 760 81 ‘A (14%o0) ‘4 : Pressure unit=1 barye=1dyne per square centimeter=0.0010197 gram per square centimeter =0.010197 | kilogram per square meter=(approximately) 0.000001 atmosphere. 1 megadyne=106 dynes per square | centimeter =0.98092 atmosphere. if 2 At 4° C., or 39.2° F. a 3 At 0° C., or 32° F. 1 inch of mercury column=70.728 pounds per square foot =1.132954 feet of water= f 345.325 kilograms per square meter=25.40005 millimeters of mercury =0.033421 atmosphere. 4 41 pound per square inch=0.072 ton per square foot. 5 1 foot of water =0.882648 inch of mercury =0.30480/ meter of water. 6 The specific gravity of mercury at 0° C. “1 millimeter of mercury =0.03937 inch of mercury =0.013595 meter of water. 8 1 atmosphere= 29.9212 inches of mercury =10.332542 meters of water, 6 MISC. PUBLICATION 225, U.S. DEPT. OF AGRICULTURE TaBLE 9.—Weight as applied to volume; uniti conversion factors, with approximate values KKilograms | Grams per Grains per |Pounds per|Pounds per|Pounds per|Pounds per per cubic | cubic cent- cubic inch | cubie yard bushel cubic foot gallon jae I geass belesien as 0. 807203 1 ig || aes ase SOOO! Ble eee ee a 1 (344) 4, 05093 27 1. 24446 (4) (4) SORS030" Glee ae see 9. 3092 (30) (94) | 1. 68556 0. 077689 (174) | 252. 893 1, 685. 56 77. 6893 | (250) (1, 700) (80) 0. 246857 7. 48052 (718) 0. 062428 (46) 62. 4283 (62/2) meter imeter 0. 0330 3. 95425 0. 003954 (0) (4) (%50) Ts Sea Ne 0. 593273 0. 000593 36) 0. 10742/ 12. 8718 0. 012872 (Yo) (13 0. 133681 16. 0184 0. 016018 (4) (16) Céo 24 119. 826 0. 119826 (120) (%) 0. 008345 1 0. 001 (20) 8. 34545 1, 000 31 (8) 1] pound per cubic foot =1.60188 kilozrams per hectoliter=0.0135 ton per cubic yard. 21 pound per gallon=0.1198 kilogram per liter. 31 gram per cubic centimeter=1 tonne (metric ton) per cubic meter=(approximately) 1 kilogram per liter. TasBLeE 10.—Volume of various units of weight cf water, with approximate values Unit of weight Wi Cubic | Gipie | Pints olume of various units of weight in— - Quarts : bean inches (liquid) | (iquid) Liters Gallons Noa Ee ees Se ah aoe the eee, Cee x ee eS OOS4799% 40: OO39 57S re ee es SS AR aie he ee er ae epee (5) (4450) a 6 Do Y= eta aS NS Pap ee se ap rcs ea 2 ANS 23. 3495 1.72998 | 0.059913 | 0.029956 | 0.028349 | 0.007489 (134) (46) (42) (46) I pound-e sees See NeNet soe eee 453.592 | 27.6797 | 0.958608 | 0.479303 | 0.453580 | 0. 119826 (450) (1) (4) (4) (4) Uf. TE Ta ae a Ee ite ae ee IU MACOS F030 2S for eine a Ms Sey alacant tans] Nets o Dee a AS ee s ('e6) 1 kell Og Ta ina epee yee is Pe ee ees 1,000 61. 0234 2. 11336 1. 05668 1: 0. 264170 (60) (2) (1) (4) A SHOLE COMES SAREE Sa ae EES = RR oS: ES! OIE ee SON Ee ae 907. 160 239. 652 (240) DE TrM GET isk 2 EAE 8 ag oc Bs rg a gen i 1 1000 264. 170 — Volume of various units of weight in— Unit of weight Cubic feet 10. 001 Bushels_ | Hectoliters Sere ees ONOWZB 78 a) OES Lega ee Seas as pea a a Oe ee (460) 0. 028377 10.01 0. 001308 0. 091 (4s) 25. 7436 9. 07160 1. 18655 0. 907185 (26) (9) (1%) (.9) 28. 3774 110 1. 30794 1 (28) (14) 1 Water has its greatest density at 4° C. and 760 millimeter pressure. At this density, 1 liter of water weighs 0.999973 kilogram. - This value was used in the conversion here presented. For all practical forestry purposes, a liter of water can be considered as weighing 1 kilogram. Similarly, 0.001 cubic foot of water is considered as weighing 1 ounce. This density is attained at 16.7°C. 2 Metric ton=1.1023112 short tons. FACTORS AND TABLES OF EQUIVALENTS USED IN FORESTRY i. TABLE 11.—Weight of various units of volume of water, with approximate values Weight of various units of volume in— Unit of volume Grains Ounces Pounds Grams Kilograms 1 cubic centimeter________________________- 15. 4324 0. 0385274 0. 002205 1 0. 001 (1514) (140) He cbieune hs — a a eee a a 252. 893 0. 578040 0. 036128 16. 3872 0. 016387 (250) (35) (40) (16) (460) Heroin ON Ua ch) as ae eee TS TOE Se ae 16. 6909 ME O4 STS: | 1, Sea eee ee 0. 473179 Ao © (1) (% eqtrant: (quid) ese eee eke Bo EE ee 33. 3818 2EOSOS0M| ae eee 0. 946359 (33) (2) (1) TH VU Se ne aaa at 2 Rohe pia nals Se SA iit ENR |. ce 2 ea 35. 2749 2. 20468 11, 000 1] (35) (2¥%) TL Gap Osi Se ae feng a ee, ee 133. 527 Seado4o) | eames 3822 3. 78543 RCUENC ORT (135) OO = (4) Short tons | © Metric tons TL CLD) OVC OO) pees ee es Las ee 0. 031214 2 1,000 62. 4283 0. 028317 28. 3170 (42) (6212) (4s) (28) TL? LOBES) 0) (eer ee ee Sc erent Ee meena 0. 038845 |__-_-___.__- 77. 6893 0. 035239 35. 2393 (41) (80) (42) Mpneetolitera 45-2 sos hee tee (0), OVARY Jn ee 220. 468 10.1 1100 (16) (220) HE CHOC SV ALG a es ee ee ee oa eee OF 8427827 | Saas 1, 685. 56 0. 764559 764. 559 (%) (1, 700) IeCuUlbicmeten=2— 225-28 2a eee ee als TOP RYE a= a eee cae 2, 204. 62 1 1, 000 (2200) 1 A liter is, by definition, a unit of capacity equivalent to the volume occupied by the mass of a kilogram of pure water atits maximum density (4°C.) and under a pressure of 760 mm. It is actually equivalent in volume to 1.000027 cubic decimeters. In forestry measurements, however, 1 liter is considered as weighing 1 kilogram and having a volume of 1 cubie decimeter. 2In forestry measurements, the weight of 1 cubic foot is taken as 1,000 ounces. The absolute value is 998.853 ounces. 3 Approximately 1 long ton. TaBLeE 12.—Raznfall per unit area; equivalent measurements : eas In cubic In gal- | In cubic} In short c In metric Unit of rainfall inches lons feet tons In liters tons imimeh permackOsas2 2255-5222 2225eh ee 6, 272, 640 27, 154 3, 630 113. 3 102, 788. 0 102. & 1 millimeter per hectare-___------------ 610, 234 2, 642 353 11.0 110, 000 10 1 millimeter per acre--------------- oy. 246, 954 1, 069 143 4.6 4, 076. 76 4.0 19,999.73. TaBLE 13.—Reservoir capacity, in equivalent measurements Cubic Cubie Cubic Acre-foot '| Gallons feet yards meters 1 | 325, 851 43, 560 1, 613. 33 1, 233. 49 1 The volume of a prism 1 foot high with a base of 1 acre. 8 MISC. PUBLICATION 225, U. 8S. DEPT. OF AGRICULTURE - , . . £ aS y : > . Taste 14.—Discharge or flow of water; unit conversion factors, with approximate values Cubie feet E Cubie feet} Gallons | per second; Acre-feet | Miner’s | Liters per Cubic per minute] per second | (second- per hour inch ! second HSS DS feet) second 1 0. 124675 0. 01667 0. 001377 0. 667 OLA POS SORES eo ees (4s) [Yo] [24] (44) 8. 02083 1 0. 133581 OFOUIOS: pba teecer 3. 78533 0. 003785 (8) C79) (140) (334) (4450) 60 7. 48052 1 | 20.082645 40 28. 3163 0. 028317 (715) (M2) (28) (736) 726 G0. 5143 Lt 1 484 342. 627 0. 342636 (90) (12) (500) (350) %) 1e5 0. 187013 0. 025 0. 002066 1 O05 707906in oe [142] (4) [40] 2. 11882 0. 264178 0. 035315 OSO0G2Z91Ol2 eeoreneee” 1 3 0. 001 (2) (44) (440) 2, 118. 87 264. 170 35. 3145 2EGIS5 oR | Seen 999. 973 1 (2000) (265) (35) (3) (1000) 1 Approximate values only; the miner’s inch, used in many Western States to measure water flow, is the quantity of water that will pass through an orifice 1 square inch in cross-section under a given head, and varies from 1.36 to 1.73 cubic feet per minute. In California the legal standard is 1.5 cubic feet per minute, oF the flow through an aperture 2 inches high in a 1.25-inch plank under a 6-inch head above the center of the stream. 2 Or 1.98347 (approximately 2) acre-feet per day. 3 See footnote 1, table 11. TABLE 15.—Approxzimate quantities of forest products represented by 1,000 feet of timber board measure (1 M feet b. m.) Product Quantity Product Quantity Shingles). wk ge ee ee ee 10:.000) |eHenceMostshe 22 =e 2 ae pe 202 Dey Hic a rs oe te rete an ne oer 5, 000 || Round timber (ratio, 6:1) cubic feet _____ 166. 667 ETO. Spero erie nhc a 3, 000 || Sawed material (ratio, 12:1) cubic feet ___ 83. 333 Slack: Sta vesars ss See oe ye eee 3, 000 || Poles (telephone)________________________ 16. 667 Tight staves-etitiat 2. SRaRR ie | SMeeD & TROOOc | ESteres: Gare) 2 fee 5 ee Ee ee rao Slick heading, sets= = eee eee SOO CordSwils 3. o: SS. Se eee 0 Mechigheagdine. Sets mses sas ee 250 TABLE 16.—Approximate ! equivalents of forest products Cubie Cubic feet Board feet Cords meters (steres) | PORN rere os Eos Es 42) eee Cee We ee ESS Ee: 26 ee eee 0. 0283 9008. 2 ee ee en 1, 000 2 7. 25 00 452.20 8S ee ie Se SOE a ee eee 500 1 2a) PF oS nn ple ica ey ees gee I Le ee ee eee ee Ee 138 0. 25 1 1 Most of these volumetric units are not capable of absolute conversion because of the character of the product and the manner ofits utilization. 2 The board foot per cubic foot ratio varies greatly, depending upon usage. Theoretically, 1 cubic foot contains 12 board feet. For average values 6 should be used, though 10 is a convenient figure for approxi- mations. When the conversion applies to tress, ratios of 3 to 8 should be applied. 3 The number of cubic feet of wood per thousand board feet varies as between softwoods and hardwoods. Tn softwoods, conversion factors vary from 160 to 220 cubic feet (working average about 183), and in hard- woods, from 220 to 250 (working average 242). 4 Standard cord is 4 by 4 by 8 feet and contains 128 cubic feet gross volume (3.626m*) . Because of methods of piling, character of material, ete., a cord of wood contains from 75 to 115 cubic feet. 90 cubic feet is taken as a rough conversion figure generally applicable. FACTORS AND TABLES OF EQUIVALENTS USED IN FORESTRY TaBLE 17.—Areas of squares, length ef one side being given ! Length of each side of square Teet Meters Chains i 0. 66 0. 201 0. 01 3. 28 1 .050 6. 56 .099 6.6 2.012 | 9. 84 3 149 10 3. 048 152 13.1 4 . 199 13, 2 4. 023 x 15 4.572 O27 16. 4 5 . 249 16.5 5. 029 25 19.7 6 . 298 19.8 6. 035 aa 20 6. 096 . 303 23.0 7 . 348 25 7. 620 379 26. 2 8 398 26. 4 8. 047 4 29.5 9 447 30 9. 144 455 32.8 10 497 33 10. 058 5 35 10. 668 539 39.6 12. 070 40 12. 192 606 45 13. 716 682 46. 2 14. 082 7 49.5 15. 088 15 50 15. 240 758 52.8 16. 093 ; 55 16. 764 . 833 59.4 18. 105 9 65 19. 812 985 65.6 20 994 66 20. 117 1 70 21. 336 1. 061 vB 22. 860 1136 80 24. 384 1. 212 82.5 25. 146 1. 25 85 25. 908 1. 288 90 27. 432 1. 364 95 28, 956 1. 439 98. 4 36 1.491 95 30. 175 1.5 100 30. 480 1.515 104. 4 31. 808 1.581 115.5 35. 204 1.75 131.2 40 1. 988 132 40. 234 2 147.6 44, 983 2. 236 148. 5 45, 263 2.25 164 50 2. 485 165 50, 292 2.5 196. 8 69 2. 983 198 60. 351 3 200 60. 960 3. 030 208. 7 63. 615 3. 162 229.7 20 3. 480 231 70. 409 3.5 262. 5 80 3.977 264 80. 467 4 295.3 90 4, 474 297 90. 526 4.5 328. 1 100 4.971 330 100. 584 5 1 The value in heavier type is that from which the corresponding values were computed. Continuing decimals or rounded values not shown in this table. 21 milacre. 122035*—35——2 Square feet 0. 4356 10. 76 43. 06 43. 56 96. 87 100 172, 22 174, 24 225 269. 10 272. 25 6, 806. 25 107, 638. 7 108, 900 Area of square Acres . 00025 . 00230 . 00395 . 004 . 00517 . 00618 . 00625 . 00890 . 009 . 00918 . 01211 . 01435 - 01581 . 016 . 02002 . 02066 . 02471 . 025 . 02812 . 036 . 03673 . 04649 . 049 . 05625 . 05739 . 064 . 06944 . 081 . 09699 . 09884 1 . 11249 . 12913 . 14692 . 15625 . 16586 . 18595 . 20719 . 22239 . 225 . 22957 25 . 30625 . 89537 A Se SO) a a a es a) . 50625 . 61776 AROS orb bo Hectares 0 , SR 10 MISC. PUBLICATION 225, U. S. DEPT. OF AGRICULTURE TaBLE 18.—Basal area in square feet from given diameters of 0.1 to 60 inches} Diameter, Area of || Diameter, Area of | Diameter, Area of Diameter, Area of inches circle | | inches circle | inches circle inches circle Sq. ft. es ee Sq. ft Sq. ft Sq. ft DES cee es 0. 0061 i (eS eee ia a 0 1 Usa pei Rewniees. wi 1. 3444 Deh eee ae 3. 0121 oer eee Bee . 0002 Ba ok srrege me 3491 15 .8e goed 1. 3616 ah ees Sees 3. 0377 O32. eee O005 ==) || "Sats see 3578 Ate Seer 1. 3789 RE ak as Mee 3. 0635--+ Q:4 ene Soe See 0009 B20 imaare: 3667 iGem 5 =. Se 1. 3963 TAN BO 3. 0S95— O'5r eee, 0014 SBE N et 2 3757 1G tee = See 1. 4138 TRIG Sree 3. 1155— Ol6= ees ea 0020 SA i aie 50 3848 AGF does 1.4314 Zan MC SIS 3. 1416 O75 o ae 0027 Si erewae oe . 3941 iGmece aos Fe 1. 4491 DAR SOE: 3. 1678 OiSets wee ae O035=—||(S Ghee . 4034 Grae boas 1. 4669 DAS BSE ce 3. 1942 O:O5r oe mere 0044 oe ieee . 4128 1 ee Oe 1. 4849 2ATS Ree 3. 2206 [has Snes eae 0055— ||°S.8is2ee5_ __ . 4224 165642 es 1. 5029 DAA ea wee 3. 2472 1 [es Wiese eta Leos 0066 S Oe eirapee . 4320 Gwe f= ees 15201) TAM See 3. 2739 eters Site 0079 eee ee . 4418 Tr) fo 1. 5394 ZAG eae eee 3. 3006 i Lee eget “ae 0092 i ee es ee . 4517 168052 Sooke 1. 5578 DARTS as aes 3. 3275-++ i ie Pe Soy . 0107 Oe casa Oe 52 . 4616 yee eee: 1. 5763 JANGS 2S 3. 3545+ 1 ia se ees Ss . 0123 Sie se see .4717 i yc eee, 1. 5948 DAIQ ES ok one 3. 3816 WEG a Gries . 0140 Le ae ey ee . 4819 yaaa See ee Se 1. 6136 Divi cs Res 3. 4088 1 ey Se Ee oc . 0158 Oey es . 4922 11/53 eens, Be 1. 6324 PAF | | Seeageh yeg sh) 3. 4362 i [ese pete Os 0177 0:6. gases 2 = . 5027 ily () -50)| 47 || 44] 41 | 38 + 35 1 32 | 30 | 27 | 25 22 SGmie aS ee ee ee 74 | 70 | 67 | 63 | 60 | 57 | 54] 51 | 48 | 45-}] 42 | 39 | 37 | 34} 31 | 29 | 26 24 ra Re ae pe gece pee SEE 74 | 71 | 67 | 64] 61 Be 55 aa 49 46 | 43 | 41 | 38 | 35 | 33 | 30 | 28 25 OQ BL iE is Se ES eee 75 | 71 |! 68 | 65 | 62 | 59! 56 | 53! 50 | 47 | 44 | 42! 39 | 37 ! 34 | 32 | 29 27 G2 gat ps 75 | 72 | 69 | 65 | 62 | 59 | 57 54 | 5i | 48 | 45 | 43 1 40 | 38 | 35 | 33 | 30 28 GAS see She 75 | 72 | 69 | 66 | 63 | 60} 57 | 54 |= 49 | 46 | 44] 41 | 39 | 36 | 34 | 32 29 962532 Aes son Sd Bs ees 76 | 73 | 70 | 6&7 | 64] 61 58 | 55 | 53} 50 | 47 | 45 | 42 | 40 | 37 | 35 | 33 | 3 GR ee a a ae ee 76 | 73 | 70 | 67 | 64] 61 | 59! 56 | 53 | 51 | 48 | 46 | 43 | 41 | 39 | 36 | 34 32 100 se ae 77 | 741 71 | 68 | 65 | 62 59 | 57°| 54 | 52 | 49 | 47 }.44 | 42 | 40 | 37 | 35 33 fQ Qe 22S ee 77 | 74 | 71 | 68 | 65 | 63 | 60 | 57 | 55) 52] 50 | 47 | 45 | 43} 41 | 38 | 36 34 104 ee Sa Ss eee | 771 741 72 | 69 | 66 | 63] 61 | 58 | 56 | 53 | 51 | 48 1 46 | 44 | 41 | 39 | 37 35 HOGEs = Sb 2 ae a ee | 78 | 75 | 72 | 69 | 66 -| 61 | 59 | 56} 54) 51 | 49 | 47 | 45 | 42 | 49 | 38 36 WOSt. 322 = Js 2 ee | 78 | 75 ey is 67 al 62 | 59 | 57 | 54] 52 | 50 ae 45 | 43 | 41 | 39 37 i Depression of wet bulb (dry-bulb temperature minus wet-bu!b temperature) Dry-bulb tempera- | ture °F. | | | | 25 | 26 27 | 28 | 29 | 30] 31 | 32 | 33.| 34 | 35 | 36 | 37 | 38 | 39 fe 40 | 41 | 42 | ei weg ete" TY, ak & (| UE Sp wa. ieee Aaleeits| 6 fe a a ap ce TE A 7 4 1 VC Brea eee ee eee g 7 4 1 iu Ce ee oh 12Y] POU MGA A | 28 (oie: GEE Ae alee 14] 111 9 | Gal) Aelia: | eh enn ee 16) 13} 11 8 6 4 1 6S aa aes See See ee 18 | 15 | 13 | 10 8 6 4 1 j 842) FOSS DES 4 in eM ZO Ait 1521 12 AO 8 6 4 2 : 86... 4 Se ees PHN ed REN eT feu bal Ve nl fled 7A a 0) 8 6 4 2 5 es Oe Beak Oe et Oe ee 23) 2 AS 16 ta te 8 6 4 2 90: => = 5 ee ee 24 | 22) 20 | 18} 16 | 14) 12} 10 8 6 4 2 0 5! a Sa ge pera eats STRESS) SY Pe ee as ST Pa er eye ya Tat 9 8 6 + 2 0 O4. ek ee Gel ee PA fa Var AS: [7A 107 Wo) Vn AED VB ys GS | Pa Fea 9 8 6 4 2 1 OG. Lane. Ls eee ee 29 N20 24 WZ e2O OL hg, felon ketal 9 rf 6 4 3 1 , O82 Es 2 aed 30 | 28 | 26 | 24} 22! 20! 18] 16! 14] 13! 11 9 uf 6 4 3 1 TK), teres eres Ure on eee Se. 31 | 29 | 2} 25 23 | 21 | 19 | 18} 16) 14] 12] 11 9 7 6 4 3 1 102. S38 Otek. ts eee B21) 60) | 28 4 20,1 24 | 22a 20 On oti babel | bet ik g 7 6 4 3 104.2522 See See BABE P48) | 7 35 | 2AM 22 ZO US ail? belook 1412 h2 eth 9 7 6 5 106... =232t se. eee ees 34.1932 | 30] 28°] 27-| 25.) 23 1 20.1, 20.1 18.) 16} £5} 13.) 12 |-10 9 7 6 10822308. ae Boal oo fol | 2912811026) 241 22s a2 AQIS NetGs) T50) oe el ate 9 re TiO: = 222-4 SE ee eee 36 j, 34 | 32.1 30)] 29)| 27 | 25 |. 241221. 20.) 19) 87 1-16.) 14) 1Saheebit0 9 112... eA Se STS [SS SET SOs 4 261 25. beSales teeO dort baal) hot ela oadeye ln astel 10 114 ee eee 38 | 36 | 34] 32 | 31 | 29 | 27 | 26 | 24 | 22} 21] 19 | 18 |] 17] 15 | 14) 13 il Li6... 42.92 Pe eee Sore? [35 7 oof Sb SO)t 28 lediale2o fecouteca eon) TOnhst Saint Gal meen aee: 12 41923 4 SS ee 39437 | 36] 344 32 1731 | 2951227126 |, 2401) 23 2 | 20s) 19 el Got 13 FACTORS AND TABLES OF EQUIVALENTS USED IN FoRESTRY 15 TasLe 25.—Quarter girth;! equivalents in true girth, diameter, area, and volume, United States measurement and metric system Quarter girth unit United States measurement Metric system iach a true girth=4 inches____-________-________- In true girth=10.16 cm. TAG Ro haat ana er eg In diameter=1.2732 inches__-__.-------------- In diane tet eat cm. au j =0.118288 m2? per acre. 1 square foot per acre________ = 1.2732 square feet per acre_---_-----------_- ae m? per hectare. l=noeres m3 per acre. 1 cubic foot per acre____--__- =1.2732 cubic feet per acre__.______-_-_____- = 0.089092 m3 per hectare. 1A British unit used customarily in East Indian forestry, equivalent to about 114 diameters. The converting factor from diameter to quarter girth would be a or 0.7854. TaBLE 26.—WNatural trigonometric functions, by half degrees Degree| Sin Cos Tan Degree Sin Cos Tan Degree Sin Cos Tan ° 4 ie} , ° 7 0 30 } 0.0087 | 1.0000 0. 0087 15 30 | 0. 2672 | 0. 9636 0. 2773 30 30 | 0.5075 | 0.8616 0. 5890 1 . 0175 . 9998 .0175 16 . 2756 - 9613 . 2867 31 . 5150 . 8572 . 6009 1 30 . 0262 . 9997 . 0262 16 30 . 2840 . 9588 . 2962 31, 30 . 5225 . 8526 . 6128 2 . 0349 - 9994 . 0349 17 . 2924 . 9563 . 3057 32 . 5299 . 8480 . 6249 2 30 . 0436 . 9990 . 0437 17 30 - 3007 - 9537 - 3153 32 30 . 5373 . 8434 . 63871 3 . 0523 . 9986 . 0524 18 . 3090 . 9511 . 3249 33 . 5446 . 8387 . 6494 3 30 . 0610 . 9981 . 0612 18 30 . 3173 . 9483 . 3346 33 30 . 6519 . 8339 . 6619 4 . 0698 . 9976 . 0699 19 . 0206 . 9455 . 3443 34 . 5592 . 8290 . 6745 4 30 . 0785 - 9969 . 0787 19 30 . 3338 . 9426 . 3041 34 30 . 5664 . 8241 . 6873 5 . 0872 . 9962 . 0875 20 . 8420 . 9397 . 3640 35 . 5736 . 8192 . 7002 5 30 . 0958 . 9954 . 0963 20 30 . 3502 . 9367 . 3739 35 30 . 5807 8141 . 7133 6 . 1045 . 9945 . 1051 21 . 3584 - 9336 . 3839 36 . 5878 . 8090 . 7265 6 30 . 1132 . 9936 . 1139 21 30 . 3665 . 93804 - 3939 36 30 . 5948 . 8039 . 7400 7 . 1219 . 9925 . 1228 22, . 3746 . 9272 - 4040 37 . 6018 . 7986 . 7536 7 30 . 1305 . 9914 . 1317 22 30 . 3827 . 9239 - 4142 37 «330 . 6088 . 79384 . 7673 8 . 1392 . 9903 - 1405 23 . 3907 - 9205 . 4245 38 . 6157 . 7880 . 7813 8 30 . 1478 . 9890 . 1495 23 30 . 3987 9171 . 4348 38 30 . 6225 . 7826 . 7954 9 . 1564 . 9877 . 1584 24 . 4067 . 9135 . 4452 39 . 6293 T7771 . 8098 9 30 . 1650 . 9863 . 1673 24 30 4147 . 9100 - 4557 39 30 . 6361 . 7716 - 8243 10 . 1736 - 9848 . 1763 25 . 4226 . 9063 . 4663 40 . 6428 . 7660 . 8391 10 30 . 1822 . 9833 . 1853 25 30 . 4305 . 9026 - 4770 40 30 . 6494 . 7604 . 8541 11 . 1908 . 9816 . 1944 26 . 4384 . 8988 . 4877 41 . 6561 . 7547 . 8693 11 30 . 1994 - 9799 . 2035 26 30 . 4462 . 8949 - 4986 41 30 . 6626 . 7490 . 8847 12 . 2079 . 9781 . 2126 Pai . 4540 . 8910 . 5095 42 . 6691 . 7431 . 9004 12 30 . 2164 . 9763 . 2217 27 ~=©30 4617 . 8870 . 5206 42 30 . 6756 . 7373 . 9163 13 . 2250 . 9744 . 2309 28 . 4695 . 8829 . 5317 43 . 6820 . 7314 . 9325 13 30 . 2334 . 9724 . 2401 28 30 4772 . 8788 . 5430 43 30 . 6884 . 7254 . 9490 14 . 2419 . 9703 . 2493 29 - 4848 . 8746 . 5543 44 . 6947 . 7193 - 9657 14 30} .2504] .9681 . 2586 29 30] .4924) .8704 . 5658 44 30] .7009 | .7133 . 9827 15 . 2588 | . 9659 . 2679 30 . 5000 | . 8660 . 5774 45 7071 | .7071 | 1.0000 16 MISC. PUBLICATION 225, U. S. DEPT. OF AGRICULTURE TaBLE 27.—The International log rule [Saw kerf 44 inch]! Vclume in board feet of logs of indicated length in feet : : Diame- Diameter (inches) ter, 8 10 12 14 16 18 20 | inches 4 EN Seo ee ee eee Ses coe 5 5 5 5 5 10 4 eee ede ee eae eh 5 5 10 10 10 15 15 5 Ga. eee ig eh See Pe Tee 10 10 15 15 20 25 25 6 YE es a ay ae ee ee GR 10 if | 20 25 30 35 40 rd SES one ee ee a 15 20 25 35 40 45 50 8 92 2 ce 2A SORES meee 20 30 35 45 50 60 70 9 (Ob eae Sse ee eae ee ee 30 35 45 55 65 75 85 10 |) ee eee Are ee ee Ne a EL 35 45 55 70 80 95 105 di Pie fe ante ee et oe ee 45 55 70 85 95 110 125 12 PSs S28 Oehe ie eS ee See 55 A 85 100 115 135 150 13 (42205 22 BS Se ee ee 65 80 100 115 135 155 175 14 | See eee SE ee aren ae IRF 75 95 115 135 160 180 205 15 WG 52 Bo 3 Be ee 85 110 130 155 180 205 235 16 PiGpme Sh? 2 Egg 9am 5 ee DS eg a EE 95 125 150 180 205 235 265 17 AOS 24m sa Pays od tS ts es eee 110 140 170 200 230 265 300 18 | 1? suena dete SS Se eee ee See 125 155 190 225 260 300 335 19 D023 2 ee eee: ee 135 175 210 250 290 330 370 20 7) ee ee Se ee a ae ae eee ae ey LS 155 195 235 280 320 365 410 21 1 IIE SP OS ROIS ete meek Ie Pie ae 2 Ev 170 215 260 305 355 405 455 22 Derk. 5 heise | eee oe eee eee EE 185 235 285 335 390 445 495 23 DA ete =f pee Apes oP 7 pee EEE 205 255 310 370 425 485 045 24 Qe = Ave ieee. Nee Ble 220 280 340 400 460 525 590 25 Die 3 55k weet eee eee ee 240 305 370 435 500 570 640 26 2) ee oe ee See ee ee ae Be 260 330 400 470 540 615 690 27 DS yes ai sore ss A pepe on Ce ee ae 280 355 43 510 585 665 745 28 2). ley ae BE Ge) Sener Se eke ae 305 385 465 545 630 715 800 9 BQ... ape. b eee Fe ee eee 325 410 495 585 675 765 850 30 Gilet 5 gee Bt es ee 350 440 530 625 720 $20 915 31 ae ee Speer eee een eee es ey eon ay | De 375 470 570 670 779 875 980 32 BS eee Bene aes Meee aed 2S ve re Ea 400 500 605 715 820 930 1045 33 eee ere ee es ae Pe | et 425 535 645 760 875 990 1110 34 Owen. ae 2 ee. dea oe ee Aa. Bd 450 565 685 805 925 1050 1175 35 DONS 6b see ee By ee 475 600 725 855 980 1115 1245 36 Sips = 2 eee Bene ee BE 505 635 77 905 1040 1175 1315 37 01 ee Seen tiene Ge enna, “Bee eee Bi Boe 525 670 810 955 1695 1245 1390 38 5 1 Se ee eee See ae Ses eee | 565 710 855 1005 1155 1310 1465 39 Ahan oe app eee renee 2 Pe 595 750 900 1060 1220 1380 1540 40 | (Eee Oe eee eee oe Se ete Se eee) Ae 625 785 950 1115 1280 1450 1620 41 ADnce -* bea 3S ec Ra ee Te 655 825 95 1170 1345 1525 1705 42 rE wl ees Cee 2 690 870 1045 1230 1410 1600 1785 43 BAe! 2 oi Ne gna SE apeene T iy = 725 910 1095 1290 1480 1675 1870 44 QB oi ak orn Ee sy a 755 955 1150 1350 1550 1755 1960 45 AQ wer ka ewe 3 nee ee Bee TP a 795 995 1200 1410 1620 1835 2050 46 A(t oN “yee OR ae he Bey TE 830 1040 1255 1475 1695 1915 2140 47 7 A ee eee en ee ae ee ee 865 1090 1310 1540 1770 2000 2235 48 A ee ee ee ee ee re eee | See 905 1135 1370 1605 1845 2085 2330 49 OO) 8 oe A epee SB tne i a 940 1185 1425 1675 192 2175 2425 50 5) ee Rete pete es, ae pe ) Seg 980 1235 1485 1745 2000 2265 2525 51 92+ ee Serre eee ee 1020 1285 1545 1815 2080 2355 2625 62 Seiko sa Sao dee eS ee ee 1060 1335 1605 1885 2165 2445 2730 53 SAE = arlene ceil Se Sn PE ae ee 1100 1385 1670 1960 2245 2540 2835 54 Eek Sk a eNO ats ha lest Saat ee 1145 1440 1735 2035 2330 2640 2945 55 DG hs See a td Se ee eS Ss eS. 1190 1495 1800 2110 2420 2735 3050 56 5 (ea ae a ee ee ae es aa Bee 8 1230 1550 1865 2185 2510 2835 3165 57 BS wk le ee ee ee 1275 1605 1930 2265 2600 2935 3275 58 5G 245s eee See ee Se ee 1320 1660 2000 2345 2680 3040 3390 69 GOY a0 oho oe Bes ae Se ee 1370 1720 2070 2425 2785 3145 3510 60 1 Seale for seasoned lumber with 46-inch shrinkage per 1-inch board, and saws cutting a 44-inch kerf, or for green lumber, for saws cutting a 3i6-inch kerf. For saws cutting a 1¢-inch kerf add 10.5 percent. Formula: ((D?X0.22) —0.71D) X0.904762 for 4-foot sections. Taper allowance: 14 inch per 4 feet lineal. NotEe.—The International log rule gives consistent results under good milling practice. It is the most fair rule for all classes of timber and logs and should be used for second-growth material particularly. For this reason the International volume tables are recommended. FACTORS AND TABLES OF EQUIVALENTS USED IN FORESTRY 17 Diameter (inches) TaBLE 28.—Scribner decimal C log rule [In tens—i. e., 0 omitted] Contents in board feet of logs of length indicated in feet 6 8 10 12 14 16 18 20 22 24 (Oe ees Saas ee ee 0.5 0.5 1 1 1 2 2 2 3 3 cee OSE ie eae 24) 1 1 2 2 3 3 3 4 4 (oe Ae 5 SI ae a 1 ] 2 2 2 3 3 3 4 4 (2) ee SEY 2 See 1 2 3 3 3 4 4 4 5 6 iQ)SS 28 Peet ees ee 2 3 3 3 4 6 6 7 8 9 ee Sk ae we 2 3 4 4 5 7 8 8 9 10 1A ee ER 3 4 5 6 7 8 9 10 11 12 SE pie. Se ee SER 4 5 6 7 8 10 11 12 13 15 1 bi 4 6 7 9 10 11 13 14 16 17 1G ae I ee Ca 5 7 9 11 12 14 16 18 20 21 G2 We 28 2 ee 6 8 10 12 14 16 18 20 22 24 (es pare. 2oee 2 ee, . SS 7 9 12 14 16 18 21 23 25 28 WS phe SRG Lane. Sas 8 11 13 16 19 21 24 27 29 32 LORS Fa RE I a ol 9 12 15 18 21 24 27 30 33 36 OLE As eS 2 et 11 14 17 21 24 28 31 35 38 42 OIE 12 A 2 a 12 15 19 23 27 30 34 38 42 46 As LE eS a 2, SO 13 WT 21 25 29 33 38 A2 46 50 om ape | suet 2 pee bE 14 19 23 28 33 38 42 47 52 57 2a oe: LAB eee)” Se 15 21 25 30 35 40 45 50 55 61 DOs see ae ee Ee 17 23 29 34 40 46 52 57 63 69 AOS = 2 Sree a a 19 25 31 37 44 50 56 62 69 75 (an 8 BSS) See SR 21 27 34 41 48 55 62 68 75 82 Spee EUSA, = ieee ae 22 29 35 44 51 58 65 73 80 87 DOE ES ES | ERS. 23 3l 38 46 53 61 68 76 84 91 BOLE. 2G) Ree 25 33 41 49 57 66 74 82 90 99 ule: MD |. Fees US 27 36 44 53 62 71 80 89 98 106 rie Le Se ae a 23 37 46 55 64 74 83 92 101 110 DOL eed: 2 ahh. ae. ISB 29 39 49 59 69 78 88 98 108 118 She ee Eee Lees 30 40 50 60 70 80 90 100 110 120 DOME eee ee eee 33 44 55 66 77 88 98 109 120 131 (0) Sees oar ES a es oo 35 46 58 69 81 92 104 115 127 138 he eset aa = eee SEE 39 51 64 Ue 90 103 116 129 142 154 SI trot erst Sis eS 40 54 67 80 93 107 120 133 147 160 aD eee elas es Lola 42 56 70 84 98 112 126 140 154 168 AND) Se a Re 3 peril 5 oes nk 45 60 75 90 105 120 135 150 166 181 A ee 2, 48 64 79 95 111 127 143 159 175 191 AU) Sie Cores were eS 6s 50 67 84 101 117 134 151 168 185 201 CS) Ro ae a, 52 70 87 105 122 140 157 174 192 209 ie eg SA LS a) 74 93 111 129 148 166 185 204 222 Gis) Ge oe Se 57 76 95 114 133 152 171 190 209 228 7G) SA 2, a a 59 79 99 119 139 159 178 198 218 238 Arik = Ee UES)... ONS Peis 62 83 104 124 145 166 186 207 228 248 Agi sek. S05. 0 eg 5. Pee 65 86 108 130 151 173 194 216 238 260 BOp See. ee UE 67 90 112 135 157 180 202 225 247 270 (50) SR eye Se eS 70 94 117 140 164 187 211 234 257 281 BE EHS 2 ra ee 73 97 122 146 170 195 219 243 268 292 ODE) Seats ee eee ee 76 101 127 152 177 202 228 253 278 304 Gore 4912 WILE Ue ee 79 105 132 158 184 210 237 263 289 316 sis By me A SEE ee §2 109 137 164 191 218 246 273 300 328 Gone shat UT Trae 85 113 142 170 198 227 255 283 312 340 BOM PERT UL tase" tke 88 118 147 176 205 235 264 294 323 353 Dior IEE EE Aik Vee 91 122 152 183 213 244 274 304 335 365 sek sees Wiel bP in 95 126 158 189 221 252 284 315 347 379 DOLE tips GE IES =a} 98 131 163 196 229 261 294 327 359 392 OEE S253 05H igi fab 1C1 135 169 203 237 270 304 338 372 406 Diameter given is for the small end of the log measured inside bark. 122035°—35——3 18 MISC. PUBLICATION 225, U.S. DEPT. OF AGRICULTURE TasiE 29.—Solid cubic contents of logs Contents in cubie feet for average middle diameter of log in inches indicated Length (feet) | 3 4 5 | 6}|-7 | 8 |-9 | 10] 11] 12] 13} 14] 15] 16] 17! 181] 19 | 20 ed = eee 0525) .05251 O25 ee ears eb tle Dime |S |e ee eG eG ar iteen= eg ete A EE LG. Tee B25) ao 5G) > I 1) 92 2 Si Sie All Ole Olan Ol) ccdlia eS om Olhor Ole ten Be eee: 495) 5 | ae Zl 722 Bl F3le f4] 1 SI PSL cero Zk Rl) Ol. ale fo) te en See, FS, 525| 55a Ol 15 9) Gone al Fae Pee Se el ZS Oly tol tel doled ae ERIE ee SES FA: Sarl. Soult ot pias! She) Bl. adie $5) 1 le) 74 Sp Ole til eas) tee tel ae (naa BS Sra et, Fae” 511 1 BIR a! She al Ph 6) 4 Fle. 8) | 10 tat 18) a 14) — dele 18 oop 1 (ore Sh he emcee SLE ot ahh 1 2, 3 3 4 5 7 8} 9} 11} 12) 14| 16) 18) 20) 992 Th eens Ee ee a5e) 1 oe Sl 4 Bl Tel tz | Oy TON! 197-113), 15) Paz) felt 99) oe (OM Shes oe Re 5 dal y he! i) a 8 Oe ht) SiS 5 itd eG Olli os oe 7 ee 2 i es Be) 2 Siecle 5 6) 7] 9| .10} 12) 14]. 16) 18) 20] 23] 26] 98 ie oe TAL 51 2 3] 4; 5) 6 8 9} 11] 13] 15] 17] 20] 221 25] 98] 31 es i ie | Jal 5 | gh* al isle) 7) FSl> 10] Pal? a4) i6|- 48) 21] P94) S71 3a) as aes E- Sas © 1 1 2 31 4| 6 7| <9) 11) 13] 15] 17] 20| 22] 25] 98] 39] 35 ii a ee ly 1 2 3 5| lel St FON til FB a6) | 18iC Ons 4) 197) *s0le 3al ae i tee 1 2 2 4} 5! 6] 8 10] 12} 14) 17] 19] 22] 25] 28] 392] 35! 39 ig. Sao. -Pee.. 1 2 3 4; 5] 7| 8 10] 13) 15) 18) 20) 231 27] 30] 34] 37] 41 7) ee 2: ene ee 1 2 3 41 5| 7 9) 111 13] 16! 18] 211 25| 28! 32] 35! 301 44 Me ee a 1 2 3 ale 6] 7 9| itl) 14) i16l. 19] , 29) -26|) 29) 33] Saz| 41) 4G 5 ae ie eee © oe 1 2 3 4} 6} 8| 10) 12] 15] 17] ° 20] 24] 27| 31] 35] 39] 43] 4g Oe Pee oo on BSS ] 2 3 5} = 6} Ss 8}Ssi10}~ «13) «215; +18) 21) 25) 28) 32) 36) 41) 45! 59 oe ae ie 5| 6] 8] 11} 13] 16] 19] 22) 26) 29) 34] 38] 42] 47| 52 ie PR ee 1 2 3 5| 7| 9| 11] 14] 16] 20] 23] 27| 31] 35! 39] 441 49] 55 be: 2 PB a ee 5} 7| 9| 11] 14]° 17] 20] 24) 28) 32] 361 41) 46] 51] 57 5); Ae BS Mewes ae ae S| 5} 7| 9] 12| 15] 18] 21] 25] 29). 33] 38! 43] 48] 53] 59 ee Aen & Aes ee. ee ts 5| 71 10] 12] 15] 18] 22] 26] 30] 34] 39] 44! 49] 55] 61 Gi ke RES | ea | ee 6| 8] 10| 13] 16] 19} 23] 27| 31|. 36! 40] 46] 51] 57] 63 Te es eee ce ae eee | ae Gi S| 10 18] 16) 20] Bal Sel F39\es37) | aol ai oS |e nel er i A Re OS | ES eee 6| 8! 11| 14] 17] 20} 24] 29] 33] 38] 43] 49] 55] 61] 68 aod. Se jee sj-==-|-—— Glee 9) inh 14 17, a 25| 29] 34]. 391 45] 50] 57| 63] 70 Contents in cubic feet for average middle diameter of log in inches indicated Length (feet) i 21 | 22 | 23 | 24 | 25'| 26 | 27 | 28.) 29 | 30 | 31 | 32} 33 | 34 | 35 | 36 | 37 | 38] 39 | 40 | Se a LO} VU et] 13 4 WS AG) S| 20 te Qi 22) 4 Ses 7i| BES aes Olmert inns 3 le ey tS eet ee T2) IWS Wa 16)" V7) 1S} Zo} 2 23) 25) 2 26) 285230)" 32[2 33) Sole Sees ol 4d | 4 G88 ee 14; 16). 17) 19; 20) 22) 24) 26) 28) 29) 31! 34] 36) 38] 40] 42) 45) 47) 50) 52 (== eee he 17| 18} 20) 22); 24) 26} 28) 30 2; 34| 37) 39) 42| 44) 47) 49) 52) 55] 58] 61 gue Bee 2 19) 21) 23) 25) 227) 2932) S42 e37\ SOs 42) 45\ F48i 750) e153 oz) 260) e615 GG ae Gi ee 22) 24; 26) 28) 31] 33) 36) 38] 41} 44) 47] 50} 53] 57] 60) 64] 67) 71] 75) 79 SS 24) 26] 29! 31] 34! 37] 40] 43! 46] 49] 52] 56] 59] 63] 67| 71| 75] 79] 83! 87 felis Se 26| 29): 32) 35) 37) 41! 44) 47) 50; 54) 58) 61] 65) 69] 73) 7 82! 87] 91] 96 9) eee el es 29| 32]. 35| 38] 41] 44) 48! 51) 55] 59) 63] 67| 71! 76! 80! 85! 90] 95] 100} 105 1S ee 31| 34] 38! 41] 44] 48) 52) 56) 60| 64] 68) 73] 77) 82] 87| . 92] 97| 102] 108] 113 VAs 34| 37) 40) 44] 48) 52) 56) 60) 64) 69) 73) 78) 83) 88! 94} 99} 105] 110} 116} 122 Thee eo oe 36| 40] 43] 47| 51) 55} 60) 64) 69) 74} 79) 84] 89} 95) 100) 106] 112) 118) 124] 131 (hee See 38! 42) 46] 50} 55; 59) 64] 68] 73) 79) 84] 89] 95] 101] 107} 113} 119} 126} 133] 140 1 (Lens eS 41} 45) 49 3| 58} 63) 68) 73} 78) 83) 89) 95) 101) 107} 114} 120} 127) 134} 141] 148 1S eee 43, 48). 52) 57| 61) 66) 72) 77) 83] 88) 94] 101} 107) 113] 120} 127) 134] 142] 149) 157 19h Se 46| 50} 55) 60! 65 70) 76 ‘i 87} 93] 100] 106} 113} 120) 127] 134} 142] 150} 158] 166 DOs a = 48| 53! 58) 63! 68] 74: 80} 86! 92) 98! 105) 112! 119] 126! 134] 141! 149] 158] 166] 175 Tike See 51|- 55! 61) 66) 72] 77] 83} 90} 96) 103).110} 117] 125] 132) 140] 148] 157] 165} 174| 183 DOR 1 Eee 53] 58] 63) 69) 75] 81] 87! 94) 101) 108} 115] 123) 131) 139} 147| 156] 164] 173} 183] 192 12) See Se 55| 61] 66) 72! 78) 85) 91} 98} 105] 113} 121] 128] 137} 145] 154] 163] 172] 181] 191] 201 7, NS 58} 63; 69} 75) 82) 88) 95} 103} 110} 118] 126] 134] 143} 151) 160} 170} 179] 189} 199} 209 Dy ei is ne 60} 66) 72) 79) 85] 92} 99) 107] 115! 123} 131] 140] 148} 158] 167} 177] 187| 197} 207} 218 DG te ee ae ae 63| 69} 75) 82) 89] 96] 103] 111] 119] 128] 136] 145] 154] 164] 174] 184] 194] 205] 216] 227 2 2 ee a CHE said 85} 92} 100) 107] 115} 124) 133] 142] 151} 160} 170) 180} 191] 202) 213} 224} 236 ORF Tk Ove AS 67| 74! 81} 88} 95} 103} 111] 120] 128} 137] 147] 156] 166] 177) 187) 198} 209] 221] 232} 244 20. ZEA se Ae. 70| 77} 84} 91} 99] 107] 115} 124) 133] 142} 152] 162) 172] 183] 194] 205] 217} 228] 241) 253 30: SR See 72| 79) 87} 94] 102] 111} 119} 128} 138] 147] 157] 168} 178] 189} 200] 212} 224} 236] 249} 262 ia es 75| 82) 89) 97] 106; 114} 123] 133} 142) 152] 162} 173] 184] 195] 207] 219} 231] 244] 257} 271 Fy eet ea Bel “1 77| 84! 92) 101) 109) 118} 127) 137| 147] 157] 168] 179] 190} 202] 214] 226} 239} 252! 265] 279 FACTORS AND TABLES OF EQUIVALENTS USED IN FORESTRY 19 TABLE 30.—Comparison of log rules Board foot values for 16-foot logs for log rules and in percentage of International 1 Top Sa : eter inside | Inter- Blodgett bark na- Scribner is Dou Aleerollanicl N Hum- (inches) tional Scribner pectnal cee Doyle ere ar Minin Hae seh eat shire Bd. | Bd. | Per-\ Bd. | Per-| Bd.\ Per-| Bd. | Per-| Bd. | Per-| Bd. | Per-| Bd. | Per-| Bd. | Per- ft. | ft. |cent| ft. |cent| ft. |cent| ft. |cent| ft. 1cent| ft. |cent} ft. |cent| ft. | cent |.) Neer IML) | e200 LO) 200 en | Rs | ee a ee |e 3)| 60) 13} 260) 11) 220 epee Sete 10} (18)} 1380) (10)} 190)--_--]--_-- 1} 10 1} 10) (11)} 110) 19} 190) 16) 160 (he ne eee 2) (ene an Oe 20) | sO eee | 4 20 4, 20) 20) 100) 26] 130) 24) 12 ip So 30] 24) 80} 30) 100)--_--]----- 9} 36 9 30} 31) 103) 35) 117; 32) 107 So seen 40} 32) 80) 30] 75|_-_--|--.-- 16; 40; 16} 40) 44) 110} 43) 108} 48) 108 Oe Eee 50] 42) 84) 40; 80)_-_--]--_-- 25| 50} 25) 50} 52) 104) 54) 108) 53] 106 OW US 2 6f] 54| 83] 60} 92) 50) 77) 36) 55) 36! 55) 68} 105) 66) 102) 67) 103 i ne S| 64{ 80; 70} 88} 63) 79} 49) 61) 49) 61} 83) 104) 78) 98} 80} 100 Ds 3 aes eis GE TON BO 7| 81) 64) 67) 64! 67) 105) 111) 92) 97) 96) 101 18). oe eae 115} 97) 84] 100]! 87) 94) 82) 81] 70); 81) 70) 120) 104) 106; 92) 112] 97 id). ys 135} 114) 84) 110); 81) 114) 84) 100) 74) 100) 74) 142) 105) 123) 91) 131} 97 622.4 160} 142} 89} 140} 88) 187) 86) 121) 76) 121) 76) 161} 101] 139} 87) 149} 93 [Gls uae 180} 159} 88] 160} 893; 161) 89) 144; 80} 144) 80) 179} 99) 157) 87) 171} 95 AY (epee 205} 185} 90} 180} 88} 188} 92) 169) 82) 169) 82) 205) 100} 176) 86) 192) 94 (G2 =a 230} 213) 93) 210) G1) 216) 94) 196; 85) 196) 85) 232} 101) 197} 86! 216) 94 Qe es 260} 240) 92) 240) 92) 245) 94) 225) 87) 225) 87} 271) 104) 217) 83) 240) 92 2) SE 290} 280) 97) 280) 97] 276) 95) 256] 88] 256} 88} 302) 104) 240) 83) 267) 92 Dk ee eee 320} 304] 95} 300) 94) 308} 96) 289) 90) 289) 90} 336} 105) 262] 82) 293] 92 2s an 355] 334] 94] 330] 93! 3841) 96! 324) 91! 324) 91! 363] 102! 287) 81] 323) 91 OS sie 390} 377) 97] 380! 97) 376] 96) 361) 93) 361; 93] 401) 103) 313) 80] 352} 90 Ph 425} 404) 95) 400) 94] 412) 97} 400) 94) 400) 94) 439] 103] 339] 80) 3841 90 ieee Se 460} 459} 160; 460} 100] 449) 98) 441) 96) 441) 96) 477} 104) 367} 80) 416} 90 PAG So 500} 560} 100; 500}; 100} 488} 98) 484) 97) 484) 97] 507} 101) 397] 79) 451) 90 Py [a= 540} 548] 101] 550) 102} 528} 98] 529} 98] 530! 98} 546) 101; 426) 79) 485) 90 Tie) ae 585] 582] 99} 580) 93) 569) 97] 576} 98] 582} 99] 614) 105) 457) 78) 523) 89 7) Jae See 620] 609} 97) 610) 97] 612) 97| 625} 99) 609} 97] 657) 104) 489) 78! 560! 89 Gh) eee 675| 657} 97) 660) 98] 656} 97] 676] 100] 657} 97] 706} 105) 514] 76] 600} 89 Olle eee 7-0} 710) 99) 710} 991 7OL] 97] 728) 101) 710} 99] 755) 105} 557) 77) 640; 89 Ce ean 770} 736} 96) 740) 96) 748] 97] 784] 102} 736} 96] 792! 103) 592) 77) 683} 89 Sis as eg 820} 784} 95) 780} 95) 796] 97] 841) 103} 784) 96! 848) 103) 628} 77] 725] 88 oes 875} 800} 91) 800) 91) 845) 97] 900} 103] 800} 91) 900} 103) 666} 76} 77i] 88 SM. ee eae 925] 876} 95) 880} 95) 897) 97] 961} 104| 876) 95] 949) 163] 704! 76) 816) 88 SOM Ups Uo 980} 923) 94) 920] 94; 950) 97/1,024) 104) 923) 94)/1,026] 105] 744; 76! 864) 88 SG en a 1, 010)1, 029) 99)1,030} 99/1, 006] 97/1, 089] 105/1,029) 99/1,089) 105) 785} 75) 912) 88 Se 1, 095]1, 068} 98)1, 070} 9811,064] 97)1, 156} 106/1,068) 98)/1,135} 104; 827) 76} 963) 88 Sos aaaeaeee 1, 155)1, 120} = 97}1, 120) 9 97)1, 124) 97)1, 225) 106]1, 120) 97/1, 209} 105) 870} 75/1,013} 88 qc aeees 1, 220/1, 204) 99)1, 200} 98/1, 185} 97/1, 296) 10S}1, 204 311, 261) 103) 914) 75)1, 067) 87 ss 1 International log rule for saws cutting a 14-inch kerf taken as a standard=160 percent. 1 —_ N mT —— —='0,) 30VHSILNSO S334930 28S, 54.4 50 45 5 30 (3 0- {20 110 100 90 80 70—- 60 50 40 30 FIGURE 1.—Temperature alinement chart for converting Fahrenheit to centigrade. ( 2¢+81xX'9,=4,) LISHNSYHVS S33y930 “QVWYSOILNISD $33H930 FAHRENHEIT CENTIGRADE 100 90 80 70 60 50 40 30 20 10 -10 -20 -30 110 100 90 80 70 60 50 40 CONVERTING-FACTOR ALINEMENT CHARTS 210 200 190 180 170 160 150 140 130 120 LISHNIYHVWS $S3I3Y99I0 saint a a wie ‘ a Se —— —_—_= ee — ee ee el S22 DO eee an) N (L334 9092°€ =URLIN!) SUYALIN Bee METERS ° fon) © fs rte) wn st ” nN = ° - ° ° ° ° 3 ° > 3 ° ° | | | Littrell rte shi hgh sorter aa ITT TIT TTT I | N ° o o wv N ° o ite} tt (at) [e) rv) o vw ~ ° a) ” nl “ “ rT) N ~ - - = - ° ° ° ° ° (Y3LSW @vOE'O = 10041) 1334 (HINI LE6E70 = H3LIWILNGD 1) SYUBLIWILNGD CONVERTING-FACTOR ALINEMENT CHARTS 0.4 0.0 0.0 FIGURE 2.—Alinement charts for converting inches to centimeters and feet to meters. 0.3 0.2 0 eet ERS” 0.9 0.8 On7 0.6 0.5 INCHES (SUBLIWINTIW OOF 'SZ=SYSLINILN3D OOVS*2 =HONI1) S3HONI CONVERTING-FACTOR ALINEMENT CHARTS 25 CHAINS MILES METERS KILOMETERS 1.0 20 10 16 15 0.9 18 9 14 \ \ 13 \ \' 12 | 0.7 14 7 tt oats | eS y 10 Ww =) v”) =. os a z a 9 v id < ci 3 | = % ie " | >) Ov WW ; 0.5 10 2 S 8 eo oO o fe) tJ bs Tt = i a ° < s > ro) nv a o 7 a T Oo = " « © ww, us = = z See F " - < ul bd Ag = 24 = 6 a S) te = 4 pe S = a ath = F rn) s SS ws Z wW 1) 5 2 < a 4 4 25 bern) -_— 8) = s D 4 0.2 4 2 3 2 O.1 2 { | 0.0 (0) re) —O Figure 3.—Alinement charts for converting chains to meters and miles to kilometers. 122035°—35——_4 oo 4 pt oh a ' “i y . diye é Od 4 i} > We a ery Ty * Nye o ‘ * ‘ 6 ‘ . 2 oe - t % 4 be b . ~ \ . “ rr mike eo CP wea cy a Ce faith tts Me ae) | Se ie ice > i ee ‘ ‘ y ie t 7 ee ie tol: ’ t + : n bie kD .o} wen re NI CONVERTING-FACTOR ALINEMENT CHARTS SQUARE FEET INCHES SQUARE CENTIMETERS SQUARE SQUARE METERS 10 10 60 (L334 34uvVNOS 6E9ZL'0!1 = 0.8 0.7 O (Y3L BW 3UVNDS 6260 (HONI BUVNDS 006510 = MALIWILNAD JUVNASI) SHBLAINILNGD ABVNOS 5 50 45 40 (SUBLAWILN3D BYVNDS C€91S~'9 = HIN! J¥YVNODS I) SAHIN! 2YWNOS YSLIW BYVNOS 1) SYSLIW BYVADS "0 = 2004 3YVNOS 1) 1334 3YVNDS 35 20 15 vp) t 103) OW 10 o 0.0 Figure 4,—Alinement charts for converting square inches to square centimeters and square feet to square meters. ee ———- a> + 29 CONVERTING-FACTOR ALINEMENT CHARTS SQUARE CHAINS SQUARE YARDS SQUARE METERS SQUARE METERS -10 40 0.09 35 (NIVHS SUVNDS L2hHZ00'O =UYAILIW JYVNOS!) SUYZLIW azguvnos ° aa) co) TCs) ° ~™ iat) N — = i (0) é © wn + o N ° (2) (e) (eo) o fo) to) So (o) o (e) te) (eo) (eo) (SYUZLIUW BYVNOS ELBI VO = NIVHD 3YVNOS 1) SNIVHD 3YVNOS (SGUVA BYVNDS 66S61'! = ¥3LIW 3Zuvnos!) S¥3LIW B3uVvNOsS 0.01 — 0.00 (Y3L3BW AHVNOS EC19E8'0 = GUuva 3ZuvnOSt) SGuvA JuVNOS FicureE 5.—Alinement charts for converting square yards to square meters and square chains to square meters. 78. Se OO eee ee ——— ae ee ee E = 7 a SS Sa Sa —= ol HECTARES 10 ACRES CONVERTING-FACTOR ALINEMENT CHARTS SQUARE METERS ACRES en ee om a a a ~ I (S3YUDV bOILH'2=3YNVLIIH!) SAIYVLIIH fo) iY) (o) 9) fo) w fo) o °o v “) iu) N tN] = = ° ° oO fo) ~ © Ts) Tt i) N ae S (JUVLIIH 69bPO0b'O0=3YNIV!) SIYXIV (au¥dvV LyzZO00 O0=H¥aLaw auvnos 1) SY3LIW 3uWNOS ° ° ° ° ° ° ° ° ° ° ° ° ° ° ro) ° re) ° re) ° n ro) ° vT 7) isp) Ny N 7 — wy fo) ° o o ~ o w t ™ “ = eS = ° ° 2 ° ° ° ° ° o ° FIGURE 6.—Alinement charts for converting acres to square meters and hectares. (SHY3LAW 34VNOS ELB ILO = 3u’ Dv!) S3YDV mint sl i re htiiiiameedd 35S oe Se SE ee aaa eS ee a A ee Oo (2TIW 3YVNOS 198E00°0 = JUVLIZH 1) SS3YVLIIAH 2 18 16 14 2 10 25 24 2 20 7 6 ing sauare miles to square kilometers and hectares. 10 0.09 0.08 0.05 0.04 0.03 0.02 0.0 | 0.00 0.0 0.0 SQUARE MILES 0) HECTARES (S3YVLIIH B666'8Se = 3TIW auvNdOSs 1) SAIN a3uvnos f=) (ATIW aUYNOS O198E°O= ¥ILIWONY JyYVNOS I) SYILIWOTIW AUuVNdS 10 9 8 i 6 5 4 3 2 I fo) SQUARE KILOMETERS Figure 7.—Alinement charts for convertin CONVERTING-FACTOR ALINEMENT CHARTS 8 6 3.4 2 re) 8 6 4 2 0 1.8 1.6 1.4 1.2 1.0 0.8 0.6 0.4 0.2 0.0 m, N N N N N SQUARE MILES 3 ai 3. “ ‘ = St r > ma ~ ——S —_ = Ses = = . <= = — ~ al = Ee ee ee eS ES eS ee ee TS a ereeeeeeemeecesiee me eee ne I 0 OE NE eee 6 Ee 35 (1334 SIGNI SVIE'SE = ¥3L39W DIGND 1) SY3LIW DJIEGND 1.0 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 O.! 0.0 CUBIC METERS | ; 30 20 15 10 5 0 CUBIC (FE Et 3-5 (Y3LIW DIEGND €820'0 =1004 DJIEGNI!1) 1334 DIGND (3DNNO GINts BEEO'O = Y3LIWILN|ID JISND 1) SYBLIWILNSD SIGNS CONVERTING-FACTOR ALINEMENT CHARTS 20 18 16 14 =@ 10 0.7 0.6 0.5 0.4 0.3 0.2 ie) 0.0 FIGURE 8.—Alincment charts for converting fluid ounces to cubic centimeters and cubic feet to cubic meters . (SHBLAWILN3SD DJIGND LELS’°62 = 3DNNO GINS 1) S3DNNO GINT4 Guibive CENTIMETERS FLUID OUNCES r= aA) CONVERTING-FACTOR ALINEMENT CHARTS U.S. GALLONS EIGERS U.S: GALLONS IMPERIAL GALLONS me) me) (NO117V9 @1692°0 = 431171) SYaLit (SY3BLIT €€S8L°€ =NOTIVD!) SNOIIVO'S'N. (SNOT7NV9'°S'N 760021 =NOI1VS AVINadWI!) SNOITIVS AWIdadNI (NO11V9 TvidsdN! S9cE8 O-NOTIV9'S'°N 1) SNO11V9 °S'‘f FIGURE 9.—Alinement charts for converting United States gallons to imperial gallons and liters. og CONVERTING-FACTOR ALINEMENT CHARTS BUSHELS IMPERIAL GALLONS EbheE Rs HECTOLITERS (ST3HSNG SLEB'S=URBLIITOLIIH!) SYILIITOLIIAH ye WY ‘<) 2 © v W ° Co) © SI N ° co oS S Ss S) Se) ry ™ ry) ry) a ry] ry = = = - - ° ° ° ° ° Hil fp ° o © ~~ x) n z ra) wu - ° (Y3LIT01L93H eEecSE'O=13HSNBG!) SI3HSNa (NO17Vv9 T1VIYNYAAGWI Bb66IC'O = y31L17 1) Sy3aiit ° 1 9 8 7 6 5 4 3 2 I Oo FicurE 10.—Alinement charts for converting imperial gallons to liters and bushels to hectoliters. 2 ! ie) 9 8 7 6 5 4 3 2 ! 0 9 8 7 6 5 -3 | -0 2 2 2 1 1 ! 1 0 re) fe) 0. 0 0.4 fs) 0.2 re) ) (SYBLIT 96S6¥S'°b = NOIIVS AviuadWI!) SNOTIVS AviuadN! CONVERTING-FACTOR ALINEMENT CHARTS Al OUNCES (AVOIRDUPOIS) POUNDS GRAMS GRAMS 450 400 350 3500 300 3000 t 10 ~~ go -—- = ~~ © 9 pS = Zz (&) 5 < ” a o o re) a) o w i) N 8 fe) ~“ nN i] S Fa) S Ww v > 2 W " fe) e = \ =) 7 200 x = 2000 ' fe) x x : ww 2 ° = Vv) Tar ia b) Ww ck = = UO ~ 7) Zz ft A ” =) ~ = s : © =) < fe) ox a e) 4 6 150 1500 : 3 4 100 1000 2 3 2 50 reel 300 | re) fe) 9 0 Figure 11.—Alinement charts for converting avoirdupois ounces to grams and pounds to grams. ~~ “ PF) = CHARTS CONVERTING-FACTOR ALINEMENT FOOT-POUNDS KILOGRAMME TERS 10 (SGNNOd-1004 OOECE2 2 =HYILIWWVHIOIIYW!) SYILINNVUIOTIY 0.8 0.7 0.6 0.5 0.4 0.3 (S3LANWNYYEDOTIW 9Z29E1°0 = ANNOd-10041) SGNNOd-1004 0.0 Figure 12.—Alinement chart for converting foot-pounds to kilogrammeters. en} CONVERTING-FACTOR ALINEMENT CHARTS CORDS (90 CU. FT) CUBIC METERS BOARD FEET SOLID MATERIAL CUBIC METERS 25 24 23 22 10 9 (1004 0 0.9 e" = (IVI¥S3LvW diros 1334 J1GND 06 4O AuYOD vZ6E°O = YILIN Dd1a@ND!) S¥BaLaW DIGND | 20 19 18 7 | { | ( \ 5) 4 3 2 I ah) 5 (GVIYSLVYW GITOS SY3LIN 31GND 6rSG°z2 =L334 D!GND 06 40 quod!) saxuos 519ND Yad 1334 Guvogs 4O OllLVYy HLIM 13323 GHUVOE LS°9L1=YN3LIW DIGND 1) SYaL3aW DIagNns a fac) ™ © w T is) iat) _ o im i) | Ee Eh LL EAL a UH oy w = .) 0.0 (o) o ~ oo 9) N — = ; ° roy ° ° ro) ° (oe) Co (o} [o) (2) (2) (2) (o) ms wy = 170 {60 ( Hl 10 9 (50 40 13 k2 (YSLIN DIGNI £99600'0 = 1004 Quvcod Wy elele aquvod jaris for converting board feet to cubic meters ant cords to cubic meters. 1 Fig URE 13.—_Al_nemeni ¢ 47 CONVERTING-FACTOR ALINEMENT CHARTS BOARD FEET PER ACRE CORDS PER ACRE CUBIC METERS PER HECTARE CUBIC METERS PER HECTARE 2 on a) ~ © wn ' ° ° ro) ° °o ro) ° ro) {o) wn Co) w (o) tp) (eo) w iS © Dstt Inve) Wo Se She) SG) 9 WYDV Y3d L334 GQUYVOSG LSv'IL = 3YVLIAH Y3d YILIAW DIaNd ft 1334 QuvOs 496°941 =¥3LAW JIGNI | FYVLISH Y3d SHYAILIW JIBNS +t fa) i) = 3° ° ° ° ° ° ° ° ° o ° a) ° w Xs) wy w v wv ia?) inp) N (a) FUVLIBH LyOv'O = 3NDVI er 31GND 1450070 =1004 Guvoa : SUON He tase JUVLIIH Y3d YALIW DIGND 66E!10'O=3YDV Y3d 1004 aquvoa t JYDV Yd AHNYOD SRG O=BYVLIAH YAd YAILIW DJIANII ((vIu¥aLWN GIT0S 1334 9IGND 06 40 GHOD H26E°0 = UALAW 31€ND 1) BYUVLIFH Y3d SUAILIW JIANS 3UVLISH Y3d SUYALIW JIAND ¢462°9=]3uH DV Yad GHYOD! (TVINBLVYN GINI0S SHZLAW JIAND 67S'2e= 1334 JIEGND 06 40 quod t) 3usvV Yad SdYOs FiGcurE 14.—Alinement charts for converting cords per acre to cubic meters per hectare and board feet per acre to cubic meters per hectare i anits aot oea-DMrraAM WAN + avant T 3JASA AIF T3394 QRACE ‘m3a5 2 Ral SAATI3M ABS SRIF C eee ey JRATIIH ASS 2HITIM DISUS: see = ~ Z ‘ t jAIRaTAR G4302 F337 2IGUS OF FO QROD ASHE.C SAATAM 2IGUS') SRATIAH M34 PRataw o18GS i f . SASA F324 GAGS BREEOESRATIGZN AAS MITIM SIiBuS 1 HAT SUM B24 ABTIM SIBUS e8E10.0-3A9A ASO TOOT GRAD I , arom 218U2 $400.0 27004 DAADB I) yo50 949 7333 ORAOB 4 GRAT OAH TOG 6.0 3. BRDA YL e * a €) « & Say . n \ , rd3% GRADE T2.0T! = H3TIM 318U91) oo 55u ase EAST IM DIBUD 2IARDA OT BAS = BAATIIH 1) SADA AIA T29F CAAGA TEST = FAATIGH ATT AITGw DraUsS 5 ¢ 2 ¥ on = 5 & ~ 2 > Pi 3 = 4 $ eS PJ 2 Z é a tow? badd boar aetaael, sag etedaas & ¥ 49 CONVERTING-FACTOR ALINEMENT CHARTS BASAL AREA (FT*) PER ACRE CUBIC FEET PER ACRE BASAL AREA (M*) PER HECTARE CUBIC METERS PER HECTARE 3YDV Y3d 1334 BYWNOS OO9SE'b = SYVLIIH Y3d YILIW BYVNOS 1 JYVLIBH Y3d(SYUSLIW BYVNOS) V3auV IVvVSVE oO io) S © ve) v ™ N = jo) 10 | 40 35 30 25 20 BSYUVLOSH Y3d YALIW BYWNDS 9622'°0 = 34DV Yad L004 3YVNODS |} 3yuoV Yad (1334 3YVNDS) V3auV IVSVE IYDV HY3d 1334 DIGND E162 bv! = JUYVLIIH Y3d YILIW DIGNI I S3ayudv OlZb'2=3YVLISH | JYUVLIBH Y3d SUYAILIW JIEGNS 1334 DIGND SvIEe'Se =¥3LIW DIGND ; 10 o 40 30 20 10 140 130 120 100 9 3YUVLD3IH Yad YALAW DIGND 46690'0= 3YDV Y3d LOO4 DIBND! 3ZYVLD3IH LyOv‘'oO = 3NDV I Dv Yad 1334 JIN YALIN DIBND €820°0=1004 JIEND : ae e tite: 15 10 5 O c meters per hectare and basal area (square feet) per acre to basal area (square meters) per hectare. FIGURE 15.—Alinement charts for converting cubic feet per acre to cubi 798% a1BuD wore 2b 2natge oigua:t | | SERRA ORTALS 42 RAT OIA} ) Baatoan oo paats iu grap . IRDA mae +324 END SIES:6V ie BRATION HAT OR 379M Deus) fa i wane rat ; aRDA BIS; (7334 ‘BRAUBE) ASS jaeae ; a . Pe ane 2am 95 A.IT3M hayes @9S6.5 2 aaa #39 ‘Toot sRavea br (Ace SSs : : - 7 > ‘ MOLY We iar SAAT OOK 39 (en ataw’ aA AIDE) AGMA SAZAE 4 ; Per AX 7 437 VMAS CARL bia SAAT GIN APS WETIM GRAWOE Ps. Bh E s ; \ ri. Gt a > = Ven) WM iS aa < aa oO cal A cal = ical Z e 4 < cc e) HH ie) — A Oo A — H fale & re Z (2) ie) POUNDS PER SQ. IN. POUNDS PER ACRE KILOGRAMS PER SQ. CM. KILOGRAMS PER HECTARE .O 10 14 ( HONIBYVNDS Y3d SGNNOd ES? v1 =YSLAWILNSS SYVNDS 3d WYYSOTMM 1) YBLAWILNZO 3BYVADS Yad SWVHNO1X 0.7 0.6 O. 0 0.3 0.2 CJ 13 12 | 10 9 8 tf 6 5 4 3 ( YAL3SWILNSO BYVNDS Y3d WVY9OTI I€020'O0 = HONi BYVNDS Yad GNNOd 1) HON! 3YVvNOS Y3d SONNMOd JuYDV Y3d GNNOd 2268'°0 = 3YVLIBH Y3d WVYDOTIY I (SQNNOd 9vO2°2 = NVYOOTIN!) BYVLIZBH Y3d SNVYOOTIA 10 SuvLd2H ¥3d SWWHYOOTIYW 80211 = 3YDV Y3d GNNOG | (W¥YDOTIW GESP'O=AGNNOd 1) 3YDV Yad SANNOd FIGURE 16.—Alinement charts for converting pounds per acre to kilograms per hectare and pounds per square inch to kilograms per square centimeter. > - AIRE 4 at panas evuWe Les (1 ciPOcuvw hes SONVKE CEMLIBE LEM 5 14 3S96 BONUGe BEY BONYwE HGH HP GBEYNG BEY 20 ¢ BOnKES bEB ‘ ZONVBE 1HOH f. Oe Pe ante a) < Tiny) Lae : ‘ M ‘ . : devsinesey j SH =O OL0F nIrGGNYN see Son @ panuBe) Ss s08 cvs oeass & (etnue seu eonvwe / , a | "I BEG HECLYBE = B HECAYBE (1 KIFS CbuvK? LKIFOG ky CONVERTING-FACTOR ALINEMENT CHARTS POUNDS PER CUBIC FOOT BUSHELS PER ACRE 10043 DIEGND Y3d ANNOd E€¥290'°O =YILIW DIGND Y3d WVvVYDOTIY I (1334 DIGND SPIE'SE =YBILIW DIGND 1) YBILIW DIGND U3d SNVYNONIY ° ° ° ° ° ° ° S ° ° ° ° ° ° ° ° £2 o SY i) Y mm 2 o oO ~ o o t * ot ° o Fe] x © wn t ” ) = YAILIW DIGND Y3d SWVHODOTIYWN veiog9l = L004 DIGND Y3d ANNOd |! (Y3LIW DIGND €820'°0 = L004 DIGND!) LOOJ DIGND ¥3d SANNOd (2¥2V Y¥3d STI3SHSNS PEeri'l = 3¥YVLDIBH U3d ¥31L170193H 1) JYUVLISH Y3d SYILIITOLIIH @ Ld © ite} t ™ iY] - ° (2) @ ~ (fo) wo vT fy) fav] = (SYVLIFIH Y3d YILITOLIIH 8OLB'0=34DV Y3d 173HSNB1l) 3NDV Yad S7T3aHSNa HECTOLITERS PER HECTARE KILOGRAMS PER CUBIC METER 10 bushels per acre to hectoliters per hectare and pounds per cubie foot to kilograms per cubic meter. Figure 17.—Alinement charts for converting ¥ = a re ( a ya eer aoe eter oe Meg age ae en ise Be : Dae “ * * . ms 9 LF % 2 » }. i. Fo mT ig : : ee eA m oy BS ee ae ee F 2 Rae a =| ea f - es tee hs : Ee ar | a "> % ; ef Ss “> Pigeon * ; : + i : i> oe z ae * ~ Oo : d it 5 i : Se Mee i Or Se OP SSL Me Ae SON Pr AMY CRS ee CRE IG) OS LO he One SE Ee een, Sues : Mid ie ee) : : fad ; f : ‘ 5 zi i i : PEN 1 5 ” a = + ve 1 3 3 ‘ Se te ae DS: Rs oer 3 Si = 2S sie 2 zs é 1 ‘a a a Pee Ge Pte 8 RE Bi Fe ‘ Ne) Ne) CONVERTING-FACTOR ALINEMENT -CHARTS CUBIC FEET PER SECOND ACRE -FEET PER DAY to 19 17 {(QNOD3S Y3ad 1004 3IBND LipOS'‘O=AVWG Y3d L1003-3499V t) AWG ¥3d 1L334-3499V 16 15 14 13 12 (Ava Yad 1334-34 9V LVER6 ! 10 1=QNOD38S Y¥3d LOO 318ND1) QNOD3S wad 1334 3reans FIGurE 18.—Alinement chart for converting cubic feet per second to acre-feet per day ee —— SS t~ Yon) RTS CONVERTING-FACTOR ALINEMENT CHA DOLLARS PER ACRE MARKS PER HECTARE "313 TSnmOud SSONITTIHS OL LNIIVAINDI ATHONOY SWUVN YOd SINIWA audv Yad Z10l'OF = a4VLIAH Yad WYN | (s2°0% =WUVW!) 3YVLIIH Yad SYYuVA (ya) o JUVLIZH Y3d SWSVN ea'6 = 3HDV Nad YVINIOT | (SWuVW bp =001$) 3Y¥Dv 43d Ssuv110d0 ign ry Ficure 19.—Alinement chart for converting dollars per acre to marks per hectare. Value of fore currency approximate. CONVERTING-FACTOR ALINEMENT CHARTS 59 y RELATION OF COEFFICIENTS OF CORRELATION (R) AND ALIENATION(K) KorR Ror kK 1.00 .00 05 10 .98 .20 96 .30 94 92 .40 .90— 45 50 .85 55 80 60 —1—.65 oS) .70 utOT 707 FIGuRE 20.—Coefficients of correlation. U.S. GOVERNMENT PRINTIN~ OFFICE: 1935