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  4. Conversion factors

0.2 Conversion factors

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Length
m cm km
1 meter 1 10 2 10 −3
1 centimeter 10 −2 1 10 −5
1 kilometer 10 3 10 5 1
1 inch 2.540 × 10 −2 2.540 2.540 × 10 −5
1 foot 0.3048 30.48 3.048 × 10 −4
1 mile 1609 1.609 × 10 4 1.609
1 angstrom 10 −10
1 fermi 10 −15
1 light-year 9.460 × 10 12
in. ft mi
1 meter 39.37 3.281 6.214 × 10 −4
1 centimeter 0.3937 3.281 × 10 −2 6.214 × 10 −6
1 kilometer 3.937 × 10 4 3.281 × 10 3 0.6214
1 inch 1 8.333 × 10 −2 1.578 × 10 −5
1 foot 12 1 1.894 × 10 −4
1 mile 6.336 × 10 4 5280 1

Area

1 cm 2 = 0.155 in. 2

1 m 2 = 10 4 cm 2 = 10.76 ft 2

1 in. 2 = 6.452 cm 2

1 ft 2 = 144 in. 2 = 0.0929 m 2

Volume

1 liter = 1000 cm 3 = 10 −3 m 3 = 0.03531 ft 3 = 61.02 in. 3

1 ft 3 = 0.02832 m 3 = 28.32 liters = 7.477 gallons

1 gallon = 3.788 liters

Time
s min h day yr
1 second 1 1.667 × 10 −2 2.778 × 10 −4 1.157 × 10 −5 3.169 × 10 −8
1 minute 60 1 1.667 × 10 −2 6.944 × 10 −4 1.901 × 10 −6
1 hour 3600 60 1 4.167 × 10 −2 1.141 × 10 −4
1 day 8.640 × 10 4 1440 24 1 2.738 × 10 −3
1 year 3.156 × 10 7 5.259 × 10 5 8.766 × 10 3 365.25 1
Speed
m/s cm/s ft/s mi/h
1 meter/second 1 10 2 3.281 2.237
1 centimeter/second 10 −2 1 3.281 × 10 −2 2.237 × 10 −2
1 foot/second 0.3048 30.48 1 0.6818
1 mile/hour 0.4470 44.70 1.467 1

Acceleration

1 m/s 2 = 100 cm/s 2 = 3.281 ft/s 2

1 cm/s 2 = 0.01 m/s 2 = 0.03281 ft/s 2

1 ft/s 2 = 0.3048 m/s 2 = 30.48 cm/s 2

1 mi/h · s = 1.467 ft/s 2

Mass
kg g slug u
1 kilogram 1 10 3 6.852 × 10 −2 6.024 × 10 26
1 gram 10 −3 1 6.852 × 10 −5 6.024 × 10 23
1 slug 14.59 1.459 × 10 4 1 8.789 × 10 27
1 atomic mass unit 1.661 × 10 −27 1.661 × 10 −24 1.138 × 10 −28 1
1 metric ton 1000
Force
N dyne lb
1 newton 1 10 5 0.2248
1 dyne 10 −5 1 2.248 × 10 −6
1 pound 4.448 4.448 × 10 5 1
Pressure
Pa dyne/cm 2 atm cmHg lb/in. 2
*Where the acceleration due to gravity is 9.80665 m/s 2 and the temperature is 0 ° C
1 pascal 1 10 9.869 × 10 −6 7.501 × 10 −4 1.450 × 10 −4
1 dyne/centimeter 2 10 −1 1 9.869 × 10 −7 7.501 × 10 −5 1.450 × 10 −5
1 atmosphere 1.013 × 10 5 1.013 × 10 6 1 76 14.70
1 centimeter mercury* 1.333 × 10 3 1.333 × 10 4 1.316 × 10 −2 1 0.1934
1 pound/inch 2 6.895 × 10 3 6.895 × 10 4 6.805 × 10 −2 5.171 1
1 bar 10 5
1 torr 1 (mmHg)
Work, energy, heat
J erg ft.lb
1 joule 1 10 7 0.7376
1 erg 10 −7 1 7.376 × 10 −8
1 foot-pound 1.356 1.356 × 10 7 1
1 electron-volt 1.602 × 10 −19 1.602 × 10 -12 1.182 × 10 −19
1 calorie 4.186 4.186 × 10 7 3.088
1 British thermal unit 1.055 × 10 3 1.055 × 10 10 7.779 × 10 2
1 kilowatt-hour 3.600 × 10 6
eV cal Btu
1 joule 6.242 × 10 18 0.2389 9.481 × 10 −4
1 erg 6.242 × 10 11 2.389 × 10 −8 9.481 × 10 −11
1 foot-pound 8.464 × 10 18 0.3239 1.285 × 10 −3
1 electron-volt 1 3.827 × 10 −20 1.519 × 10 −22
1 calorie 2.613 × 10 19 1 3.968 × 10 −3
1 British thermal unit 6.585 × 10 21 2.520 × 10 2 1

Power

1 W = 1 J/s

1 hp = 746 W = 550 ft · lb/s

1 Btu/h = 0.293 W

Angle

1 rad = 57.30 ° = 180 ° / π

1 ° = 0.01745 rad = π / 180 rad

1 revolution = 360 ° = 2 π rad

1 rev/min ( rpm ) = 0.1047 rad/s

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Source:  OpenStax, University physics volume 1. OpenStax CNX. Sep 19, 2016 Download for free at http://cnx.org/content/col12031/1.5
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