University Physics Volume 1

B | Conversion Factors

University Physics Volume 1B | 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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