Conversion Factors

Length
m cm km
1 meter 1 102 10−3
1 centimeter 10−2 1 10−5
1 kilometer 103 105 1
1 inch 2.540\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2} 2.540 2.540\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-5}
1 foot 0.3048 30.48 3.048\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-4}
1 mile 1609 1.609\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{4} 1.609
1 angstrom 10−10
1 fermi 10−15
1 light-year 9.460\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{12}
in. ft mi
1 meter 39.37 3.281 6.214\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-4}
1 centimeter 0.3937 3.281\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2} 6.214\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-6}
1 kilometer 3.937\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{4} 3.281\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{3} 0.6214
1 inch 1 8.333\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2} 1.578\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-5}
1 foot 12 1 1.894\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-4}
1 mile 6.336\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{4} 5280 1

Area

1\phantom{\rule{0.2em}{0ex}}{\text{cm}}^{2}=0.155\phantom{\rule{0.2em}{0ex}}{\text{in.}}^{2}

1\phantom{\rule{0.2em}{0ex}}{\text{m}}^{2}={10}^{4}\phantom{\rule{0.2em}{0ex}}{\text{cm}}^{2}=10.76\phantom{\rule{0.2em}{0ex}}{\text{ft}}^{2}

1\phantom{\rule{0.2em}{0ex}}{\text{in.}}^{2}=6.452\phantom{\rule{0.2em}{0ex}}{\text{cm}}^{2}

1\phantom{\rule{0.2em}{0ex}}{\text{ft}}^{2}=144\phantom{\rule{0.2em}{0ex}}{\text{in.}}^{2}=0.0929\phantom{\rule{0.2em}{0ex}}{\text{m}}^{2}

Volume

1\phantom{\rule{0.2em}{0ex}}\text{liter}=1000\phantom{\rule{0.2em}{0ex}}{\text{cm}}^{3}={10}^{-3}\phantom{\rule{0.2em}{0ex}}{\text{m}}^{3}=0.03531\phantom{\rule{0.2em}{0ex}}{\text{ft}}^{3}=61.02\phantom{\rule{0.2em}{0ex}}{\text{in.}}^{3}

1\phantom{\rule{0.2em}{0ex}}{\text{ft}}^{3}=0.02832\phantom{\rule{0.2em}{0ex}}{\text{m}}^{3}=28.32\phantom{\rule{0.2em}{0ex}}\text{liters}=7.477\phantom{\rule{0.2em}{0ex}}\text{gallons}

1\phantom{\rule{0.2em}{0ex}}\text{gallon}=3.788\phantom{\rule{0.2em}{0ex}}\text{liters}

Time
s min h day yr
1 second 1 1.667\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2} 2.778\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-4} 1.157\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-5} 3.169\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-8}
1 minute 60 1 1.667\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2} 6.944\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-4} 1.901\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-6}
1 hour 3600 60 1 4.167\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2} 1.141\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-4}
1 day 8.640\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{4} 1440 24 1 2.738\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-3}
1 year 3.156\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{7} 5.259\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{5} 8.766\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{3} 365.25 1
Speed
m/s cm/s ft/s mi/h
1 meter/second 1 102 3.281 2.237
1 centimeter/second 10−2 1 3.281\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2} 2.237\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2}
1 foot/second 0.3048 30.48 1 0.6818
1 mile/hour 0.4470 44.70 1.467 1

Acceleration

1\phantom{\rule{0.2em}{0ex}}{\text{m/s}}^{2}=100\phantom{\rule{0.2em}{0ex}}{\text{cm/s}}^{2}=3.281\phantom{\rule{0.2em}{0ex}}{\text{ft/s}}^{2}

1\phantom{\rule{0.2em}{0ex}}{\text{cm/s}}^{2}=0.01\phantom{\rule{0.2em}{0ex}}{\text{m/s}}^{2}=0.03281\phantom{\rule{0.2em}{0ex}}{\text{ft/s}}^{2}

1\phantom{\rule{0.2em}{0ex}}{\text{ft/s}}^{2}=0.3048\phantom{\rule{0.2em}{0ex}}{\text{m/s}}^{2}=30.48\phantom{\rule{0.2em}{0ex}}{\text{cm/s}}^{2}

1\phantom{\rule{0.2em}{0ex}}\text{mi/h}·\text{s}=1.467\phantom{\rule{0.2em}{0ex}}{\text{ft/s}}^{2}

Mass
kg g slug u
1 kilogram 1 103 6.852\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2} 6.024\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{26}
1 gram 10−3 1 6.852\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-5} 6.024\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{23}
1 slug 14.59 1.459\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{4} 1 8.789\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{27}
1 atomic mass unit 1.661\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-27} 1.661\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-24} 1.138\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-28} 1
1 metric ton 1000
Force
N dyne lb
1 newton 1 105 0.2248
1 dyne 10−5 1 2.248\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-6}
1 pound 4.448 4.448\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{5} 1
Pressure
Pa dyne/cm2 atm cmHg lb/in.2
*Where the acceleration due to gravity is 9.80665\phantom{\rule{0.2em}{0ex}}{\text{m/s}}^{2} and the temperature is 0\text{°}\text{C}
1 pascal 1 10 9.869\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-6} 7.501\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-4} 1.450\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-4}
1 dyne/centimeter2 10−1 1 9.869\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-7} 7.501\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-5} 1.450\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-5}
1 atmosphere 1.013\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{5} 1.013\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{6} 1 76 14.70
1 centimeter mercury* 1.333\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{3} 1.333\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{4} 1.316\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2} 1 0.1934
1 pound/inch2 6.895\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{3} 6.895\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{4} 6.805\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2} 5.171 1
1 bar 105
1 torr 1 (mmHg)
Work, Energy, Heat
J erg ft.lb
1 joule 1 107 0.7376
1 erg 10−7 1 7.376\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-8}
1 foot-pound 1.356 1.356\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{7} 1
1 electron-volt 1.602\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-19} 1.602\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{\text{-12}} 1.182\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-19}
1 calorie 4.186 4.186\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{7} 3.088
1 British thermal unit 1.055\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{3} 1.055\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{10} 7.779\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{2}
1 kilowatt-hour 3.600\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{6}
eV cal Btu
1 joule 6.242\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{18} 0.2389 9.481\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-4}
1 erg 6.242\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{11} 2.389\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-8} 9.481\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-11}
1 foot-pound 8.464\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{18} 0.3239 1.285\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-3}
1 electron-volt 1 3.827\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-20} 1.519\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-22}
1 calorie 2.613\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{19} 1 3.968\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-3}
1 British thermal unit 6.585\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{21} 2.520\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{2} 1

Power

1\phantom{\rule{0.2em}{0ex}}\text{W}=1\phantom{\rule{0.2em}{0ex}}\text{J/s}

1\phantom{\rule{0.2em}{0ex}}\text{hp}=746\phantom{\rule{0.2em}{0ex}}\text{W}=550\phantom{\rule{0.2em}{0ex}}\text{ft}·\text{lb/s}

1\phantom{\rule{0.2em}{0ex}}\text{Btu/h}=0.293\phantom{\rule{0.2em}{0ex}}\text{W}

Angle

1\phantom{\rule{0.2em}{0ex}}\text{rad}=57.30\text{°}=180\text{°}\text{/}\text{π}

1\text{°}=0.01745\phantom{\rule{0.2em}{0ex}}\text{rad}=\text{π}\text{/}180\phantom{\rule{0.2em}{0ex}}\text{rad}

1\phantom{\rule{0.2em}{0ex}}\text{revolution}=360\text{°}=2\text{π}\phantom{\rule{0.2em}{0ex}}\text{rad}

1\phantom{\rule{0.2em}{0ex}}\text{rev/min}\left(\text{rpm}\right)=0.1047\phantom{\rule{0.2em}{0ex}}\text{rad/s}

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University Physics Volume 3 by cnxuniphysics is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.

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