Conversion Factors and Math Formulas
* Conversion Factors
CONVERSION FACTORS
Abbreviations
| in = inch | ft = foot | m = meter |
| mi = mile | km = kilometer | cm = centimeter |
| ha = hectare | gal = gallon | l = liter |
| lb = pound | sec = second | hr = hour |
| ac = acre | Hg = Mercury | kg = kilograms |
| mm = millimeters | F = Fahrenheit | C = Celsius |
| hp = horsepower | kw = kilowatt | cusec = 1 ft3/sec |
| gpm = gallons per minute | cfs = cubic foot per second | psi = pounds per square inch |
Length
| 1 inch =2.54 cm | 1 foot =30.48 cm = 0.3048 m |
| 1 mile=5280 ft =1609.3 m =1.61km | 1 kilometer =1000 m =0.62137 mi |
| 1 meter = 39.37 in = 3.281 ft |
Area
Volume 1 US gallon = 231 in3 = 0.1337 ft3 = 3.785 l 1 foot3 = 7.48 gal = 28.32 l = 0.0283 m3 1 acre-foot = 43560 ft3 = 1233.5 m3 1 meter3 = 1000 l = 264.2 gal = 35.31 ft3 1 liter = 1000 cm3 Weight 1 kilogram = 2.2 lbs. = 35.25 ounces 1 pound = 0.453 kg. = 453.59 g. 1 ounce = 28.35 g. 1 ton = 907.18 kg. = 2000 lbs. 1 metric ton = 1000 kg. = 2204.6 lbs. Flow Rate 1 gpm = 0.00223 cfs = 0.0631 L/sec = 0.227 m3/hr 1 cfs = 448.8 gpm = 28.32 L/sec = 101.9 m3/hr 1 m3/hr = 0.2778 L/sec= 0.00981 cfs = 4.403 gpm 1 L/sec = 15.85 gpm = 0.0353 cfs 1 cfs = 1 ft3/sec = 1 cusec Pressure (density of water at 39.2o F, approximately 4o C 1 psi = 2.31 ft water = 2.04 in Hg = 0.0703 kg/cm2 1 ft water = 0.433 psi = 0.883 in Hg= 0.0304 kg/cm2 1 kg/cm2 = 10 m water = 28.97 in Hg= 736 mm Hg = 14.22 psi = 32.8 ft water 1 m water = 3.28 ft water = 0.1 kg/cm2 Temperature Degrees F = Degrees C x 1.8 + 32 Degrees C = Degrees F - 32/1.8 Temperature and Vapor Pressure Absolute Pressure at Various Altitudes PSIA = PSI Atmospheric Pressure Work - Power 1 hp = 0.746 kw 1 kw = 1.34 hp 1 hphr = 0.746 kwhr = 2545.0 BTU 1 kwhr = 1.341 hphr = 3413.0 BTU 1 mm water evaporated requires 590 cal/cm2 of energy or 590 langleys in a day. Area of a rectangle = length x width Area of a triangle = base x height Area of a Trapazoid = (base1 + base2)/2 x height Area of a circle = 3.142 x radius2 Circumference of a circle = 2 x 3.142 x radius Volume of a cube = base x width x height Velocity = distance/time
1 inch2 = 6.452 cm2
1 foot2 = 144 m2 1 hectare =10000 m2 = 2.471 ac
1 meter2 =10.76 ft2 1 acre = 4047 m2 = 0.4047 ha = 43560 ft2
oC
oF
mm Hg
PSI
ft of water
Specific Gravity 4
39
6.101
0.118
0.272
1.000 10
50
9.209
0.178
0.411
0.999 15
59
12.788
0.2468
0.570
0.999 20
68
17.535
0.3380
0.782
0.998
Feet
Meters
PSIA
Feet of Water
Meters of Water 0
0
14.7
33.9
10.33 500
152.4
14.4
33.3
10.14 1000
304.8
14.2
32.8
9.99 1500
457.2
13.9
32.1
9.78 2000
609.6
13.7
31.5
9.60 2500
762.0
13.4
31.0
9.44 3000
914.4
13.2
30.4
9.26 3500
1066.8
12.9
29.8
9.08 4000
1219.2
12.7
29.2
8.90 4500
1371.6
12.4
28.8
8.77 5000
1527.0
12.2
28.2
8.59 5500
1676.4
12.0
27.6
8.41 6000
1828.8
11.8
27.2
8.29 6500
1981.2
11.5
26.7
8.13 7000
2133.6
11.3
26.2
7.98 7500
2286.0
11.1
25.7
7.83 8000
2438.4
10.9
25.2
7.68 8500
2590.8
10.7
24.7
7.52 9000
2743.2
10.5
24.3
7.40 9500
2895.6
10.3
23.8
7.25 10000
3048.0
10.1
23.4
7.13
angle
sine
tangent
angle
sine
tangent 1.0
0.0175
0.0175
23.5
0.3987
0.4348 1.5
0.0262
0.0262
24.0
0.4067
0.4452 2.0
0.0349
0.0349
24.5
0.4147
0.4557 2.5
0.0436
0.0437
25.0
0.4226
0.4663 3.0
0.0523
0.0524
25.5
0.4305
0.4770 3.5
0.0610
0.0612
26.0
0.4384
0.4877 4.0
0.0698
0.0699
26.5
0.4462
0.4986 4.5
0.0785
0.0787
27.0
0.4540
0.5095 5.0
0.0872
0.0875
27.5
0.4617
0.5206 5.5
0.0958
0.0963
28.0
0.4695
0.5317 6.0
0.1045
0.1051
28.5
0.4772
0.5430 6.5
0.1132
0.1139
29.0
0.4848
0.5543 7.0
0.1219
0.1228
29.5
0.4924
0.5658 7.5
0.1305
0.1317
30.0
0.5000
0.5774 8.0
0.1392
0.1405
30.5
0.5075
0.5890 8.5
0.1478
0.1495
31.0
0.5150
0.6009 9.0
0.1564
0.1584
31.5
0.5225
0.6128 9.5
0.1650
0.1673
32.0
0.5299
0.6249 10.0
0.1736
0.1763
32.5
0.5373
0.6371 10.5
0.1822
0.1853
33.0
0.5446
0.6494 11.0
0.1908
0.1944
33.5
0.5519
0.6619 11.5
0.1994
0.2035
34.0
0.5592
0.6745 12.0
0.2079
0.2126
34.5
0.5664
0.6873 12.5
0.2164
0.2217
35.0
0.5736
0.7002 13.0
0.2250
0.2309
35.5
0.5807
0.7133 13.5
0.2334
0.2401
36.0
0.5878
0.7265 14.0
0.2419
0.2493
36.5
0.5948
0.7400 14.5
0.2504
0.2586
37.0
0.6018
0.7536 15.0
0.2588
0.2679
37.5
0.6088
0.7673 15.5
0.2672
0.2773
38.0
0.6157
0.7813 16.0
0.2756
0.2867
38.5
0.6225
0.7954 16.5
0.2840
0.2962
39.0
0.6293
0.8098 17.0
0.2924
0.3057
39.5
0.6361
0.8243 17.5
0.3007
0.3153
40.0
0.6428
0.8391 18.0
0.3090
0.3249
40.5
0.6494
0.8541 18.5
0.3173
0.3346
41.0
0.6561
0.8693 19.0
0.3256
0.3443
41.5
0.6626
0.8847 19.5
0.3338
0.3541
42.0
0.6691
0.9004 20.0
0.3420
0.3640
42.5
0.6756
0.9163 20.5
0.3502
0.3739
43.0
0.6820
0.9325 21.0
0.3584
0.3839
43.5
0.6884
0.9490 21.5
0.3665
0.3939
44.0
0.6947
0.9657 22.0
0.3746
0.4040
44.5
0.7009
0.9827 22.5
0.3827
0.4142
45.0
0.7071
1.0000 23.0
0.3907
0.4245