Conversion Factors Note: Conversion factors are given here to generally three or four significant figures. Mass 14 .59 kg slug Standard SI unit: kilogram (kg). Equivalent unit: N.s2/m. Force 4.448 N lb f Standard SI unit: Newton (N). Equivalent unit: kg.m/s2. 32 .174 lb m slug 2.205 lb m kg 2000 lb m ton m 453 .6 grams lb m 1000 kg metric ton m 10 5 dynes N 4.448 x 105 dynes lb f 224.8 lb f kN Length 3.281 ft m 39.37 in m 12 in ft 1.609 km mi 5280 ft mi Area 144 in 2 ft 2 10 .76 ft 2 m2 645 .2 mm 2 in 2 10 6 mm 2 m2 43,560 ft 2 acre 231 in 3 gal 7.48 gal ft 3 61 .02 in 3 L 264.2 gal m3 1000 cm 3 L 3.785 L 35 .31 ft 3 gal m3 1.201 U.S. gal Imperial gallon 6076 ft nautical mile 10 4 m 2 hectare Volume 1728 in 3 ft 3 28.32 L ft 3 1000 L m3 Volume Flow Rate 35 .31 ft 3 /s 449 gal/min m 3 /s ft 3 /s 60 000 L/min m 3 /s 15 850 gal/min m 3 /s 2119 ft 3 /min m 3 /s Density (mass/unit volume) 515.4 kg/m3 1000 kg/m3 slug/ft3 gram/cm3 3.785 L/min gal/min 16.67 L/min m 3 /h 101 .9 m 3 /h ft 3 /s 32.17 lb m /ft3 slug/ft3 16.018 kg/m3 lb m /ft 3 27.674 g/cm3 lb m /in 3 Specific Weight (weight/unit volume) 1728 lb/ft 3 157.1 N/m 3 lb/in 3 lb f /ft3 General Approach to Application of Conversion Factors. Arrange the conversion factor from the table in such a manner that, when multiplied by the given quantity, the original units cancel out, leaving the desired units. Example 1 Convert 150 gal/min to the units of the units of m3/s: (150 gal/min) 1 m 3 /s = 9.46 x 10-3m3/s 15 850 gal/min Pressure Standard S1 unit: Pascal (Pa). Equivalent units: N/m2 or kg/m.s2. 144 lb/ft 2 14 .50 lb/in 2 47.88 Pa 6895 Pa 1 Pa 100 kPa bar lb/in 2 bar lb/ft 2 lb/in 2 N/m 2 27.68 inH 2 O 249 .1 Pa 2.036 inHg 3386 Pa 133 .3 Pa mH 2 O 51.71 mmHg 2 2 2 inH 2 O 2.896inHg inHg mmHg lb/in lb/in lb/in 14 .696 lb/in 2 Std. atmosphere 101 .325 kPa Std. atmosphere 29 .92 inHg Std. atmosphere 760 .1 mmHg Std. atmosphere mH 2 O 1.422lb/in 2 33.9 ftH 2 O Std. atmosphere Note: Conversion factors based on the height of a column of liquid (e.g. inH 2O and mmHg) are based on a standard gravitational field (g = 9.80665 m/s2), a density of water equal to 1000 kg/m3, and a density of mercury equal to 13595.1 kg/m3, sometimes called conventional values for a temperature at or near 0oC. Actual measurements with such fluids may vary because of differences in local gravity and temperature. Stress 144 lb/ft 2 lb/in 2 Standard S1 unit: Pascal (Pa). Equivalent units: N/m2 or kg/m.s2. 47.88 Pa 6895 Pa 1 Pa 2 2 lb/ft lb/in N/m 2 Energy 1.356 J ft.lb Standard S1 unit: joule (J), Equivalent units: N.m or kg.m2/s2 1.0 J 8.85 lb.in 1.055 kJ 3.600 kJ 778.17 ft.lb N.m J Btu W.h Btu Power 745 .7 W hp Standard S1 unit: watt (W), Equivalent unit: J/s or N.m/s 550 ft.lb/s 1.0 W 1.356 W 3.412 Btu/hr 1.341 hp hp N.m/s ft.lb/s W kW Dynamic Viscosity (or Standard S1 unit: Pa.s or N.s/m2 (cP = centipoise) 100 cP 47.88 Pa.s 10 poise 1000 cP 1 cP 478.8 poise 2 poise Pa.s Pa.s 1 mPa.s lb.s/ft lb.s/ft2 Kinematic Viscosity () 10 .764 ft 2 /s 10 4 stoke m 2 /s m 2 /s Standard S1 unit: m2/s (cSt = centistoke) 10 6 cSt 100 cSt 10 6 mm 2 /s 1 cSt m 2 /s stoke m 2 /s 1 mm 2 /s 929.023 stoke ft 2 /s For conversions involving Saybolt Universal seconds use the following two equations. 195 t 135 (cSt) = 0.220t t (cSt) = 0.226t - t ≤ 100 SUS t > 100 SUS Temperature Conversions Given the Fahrenheit temperature TF in oF, the Celsius temperature TC in oC is TC = (TF – 32)/1.8 Given the temperature TK in oK, the absolute temperature TR in oR is TR = 1.8TK TK = TC + 273.15 TR = TF + 459.67 (cSt) = (cP) SG
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