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University Physics Volume 3

B | Conversion Factors

University Physics Volume 3B | Conversion Factors
m cm km
1 meter 1 102 10−3
1 centimeter 10−2 1 10−5
1 kilometer 103 105 1
1 inch 2.540×10−22.540×10−2 2.540 2.540×10−52.540×10−5
1 foot 0.3048 30.48 3.048×10−43.048×10−4
1 mile 1609 1.609×1051.609×105 1.609
1 angstrom 10−10
1 fermi 10−15
1 light-year 9.460×10129.460×1012
in. ft mi
1 meter 39.37 3.281 6.214×10−46.214×10−4
1 centimeter 0.3937 3.281×10−23.281×10−2 6.214×10−66.214×10−6
1 kilometer 3.937×1043.937×104 3.281×1033.281×103 0.6214
1 inch 1 8.333×10−28.333×10−2 1.578×10−51.578×10−5
1 foot 12 1 1.894×10−41.894×10−4
1 mile 6.336×1046.336×104 5280 1
Table B1 Length

Area

1cm2=0.155in.21cm2=0.155in.2

1m2=104cm2=10.76ft21m2=104cm2=10.76ft2

1in.2=6.452cm21in.2=6.452cm2

1ft2=144in.2=0.0929m21ft2=144in.2=0.0929m2

Volume

1liter=1000cm3=10−3m3=0.03531ft3=61.02in.31liter=1000cm3=10−3m3=0.03531ft3=61.02in.3

1ft3=0.02832m3=28.32liters=7.477gallons1ft3=0.02832m3=28.32liters=7.477gallons

1gallon=3.788liters1gallon=3.788liters

s min h day yr
1 second 1 1.667×10−21.667×10−2 2.778×10−42.778×10−4 1.157×10−51.157×10−5 3.169×10−83.169×10−8
1 minute 60 1 1.667×10−21.667×10−2 6.944×10−46.944×10−4 1.901×10−61.901×10−6
1 hour 3600 60 1 4.167×10−24.167×10−2 1.141×10−41.141×10−4
1 day 8.640×1048.640×104 1440 24 1 2.738×10−32.738×10−3
1 year 3.156×1073.156×107 5.259×1055.259×105 8.766×1038.766×103 365.25 1
Table B2 Time
m/s cm/s ft/s mi/h
1 meter/second 1 102 3.281 2.237
1 centimeter/second 10−2 1 3.281×10−23.281×10−2 2.237×10−22.237×10−2
1 foot/second 0.3048 30.48 1 0.6818
1 mile/hour 0.4470 44.70 1.467 1
Table B3 Speed

Acceleration

1m/s2=100cm/s2=3.281ft/s21m/s2=100cm/s2=3.281ft/s2

1cm/s2=0.01m/s2=0.03281ft/s21cm/s2=0.01m/s2=0.03281ft/s2

1ft/s2=0.3048m/s2=30.48cm/s21ft/s2=0.3048m/s2=30.48cm/s2

1mi/h·s=1.467ft/s21mi/h·s=1.467ft/s2

kg g slug u
1 kilogram 1 103 6.852×10−26.852×10−2 6.024×10266.024×1026
1 gram 10−3 1 6.852×10−56.852×10−5 6.024×10236.024×1023
1 slug 14.59 1.459×1041.459×104 1 8.789×10278.789×1027
1 atomic mass unit 1.661×10−271.661×10−27 1.661×10−241.661×10−24 1.138×10−281.138×10−28 1
1 metric ton 1000
Table B4 Mass
N dyne lb
11 newton 1 105 0.2248
11 dyne 10−5 1 2.248×10−62.248×10−6
11 pound 4.448 4.448×1054.448×105 1
Table B5 Force
Pa dyne/cm2 atm cmHg lb/in.2
1 pascal 1 10 9.869×10−69.869×10−6 7.501×10−47.501×10−4 1.450×10−41.450×10−4
1 dyne/centimeter2 10−1 1 9.869×10−79.869×10−7 7.501×10−57.501×10−5 1.450×10−51.450×10−5
1 atmosphere 1.013×1051.013×105 1.013×1061.013×106 1 76 14.70
1 centimeter mercury* 1.333×1031.333×103 1.333×1041.333×104 1.316×10−21.316×10−2 1 0.1934
1 pound/inch2 6.895×1036.895×103 6.895×1046.895×104 6.805×10−26.805×10−2 5.171 1
1 bar 105
1 torr 1 (mmHg)
*Where the acceleration due to gravity is 9.80665m/s29.80665m/s2 and the temperature is 0°C0°C
Table B6 Pressure
J erg ft.lb
1 joule 1 107 0.7376
1 erg 10−7 1 7.376×10−87.376×10−8
1 foot-pound 1.356 1.356×1071.356×107 1
1 electron-volt 1.602×10−191.602×10−19 1.602×10-121.602×10-12 1.182×10−191.182×10−19
1 calorie 4.186 4.186×1074.186×107 3.088
1 British thermal unit 1.055×1031.055×103 1.055×10101.055×1010 7.779×1027.779×102
1 kilowatt-hour 3.600×1063.600×106
eV cal Btu
1 joule 6.242×10186.242×1018 0.2389 9.481×10−49.481×10−4
1 erg 6.242×10116.242×1011 2.389×10−82.389×10−8 9.481×10−119.481×10−11
1 foot-pound 8.464×10188.464×1018 0.3239 1.285×10−31.285×10−3
1 electron-volt 1 3.827×10−203.827×10−20 1.519×10−221.519×10−22
1 calorie 2.613×10192.613×1019 1 3.968×10−33.968×10−3
1 British thermal unit 6.585×10216.585×1021 2.520×1022.520×102 1
Table B7 Work, Energy, Heat

Power

1W=1J/s1W=1J/s

1hp=746W=550ft·lb/s1hp=746W=550ft·lb/s

1Btu/h=0.293W1Btu/h=0.293W

Angle

1rad=57.30°=180°/π1rad=57.30°=180°/π

1°=0.01745rad=π/180rad1°=0.01745rad=π/180rad

1revolution=360°=2πrad1revolution=360°=2πrad

1rev/min(rpm)=0.1047rad/s1rev/min(rpm)=0.1047rad/s

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