Units and Conversion Factors
SI Unit (Abbreviation) | Typical symbol | quantity |
Mechanical | ||
meter, m | x,y,z,l,d | Length |
kilogram, kg | m | Mass |
second, s | t | Time |
meter/second, m/s | v, u | Velocity |
newton, n | f | Force |
newton-meter, nm | t | Torque |
pascal, pa | p | Pressure |
joule, j | w | Energy |
watt, w | p,p | Power |
radian, rad | α,β,γ,θ | Angle |
radian/second, rad/s | ω | Angular velocity |
Kg-m2 | J | Mass polar moment of inertia |
Electrical | ||
coulomb, C | q, Q | Charge |
ampere, A | i,I | (Electric) current |
volt, V | v,V,e,E | Voltage |
hertz, Hz | f | Frequency |
radian per second, rad/s | ω | Radian frequency |
voltampere, VA | S | Apparent power |
watt, W | P | Average power |
voltampere-reactive, var | Q | Reactive power |
ohm, Ω | R | Resistance |
henry, H | L | Inductance |
farad, F | C | Capacitance |
ohm, Ω | Z , X | Impedance, reactance |
siemens, S | G | Conductance |
siemens, S | Y, B | Admittance, susceptance |
Thermal | ||
kelvin, K | ,θT | Temperature |
watt, W | P, Q | Thermal power |
joule, J | W | Heat energy |
joule/kelvin, J/K | C | Thermal capacitance |
watt/kelvin, W/K | G | Thermal capacitance |
joule/(kelvin-kilogram), J/(K-kg) | cp | Specific heat |
Magnetic | ||
weber, Wb | φ | Flux |
tesla, T | B | Flux density |
ampere/meter, A/m | H | Magnetic field intensity |
1/henry, H-1 | ℜ | Reluctance |
henry, H | ℘ | Permeance |
ampere-turns, A | ℑ | Magnetomotive force |
SI Prefixes | |||||
10-24 | y | yocto | 1024 | Y | yotta |
10-21 | z | zepto | 1021 | Z | zetta |
10-18 | a | atto | 1018 | E | exa |
10-15 | f | femto | 1015 | P | peta |
10-12 | p | pico | 1012 | T | tera |
10-9 | n | nano | 109 | G | giga |
10-6 | μ | micro | 106 | M | mega |
10-3 | m | milli | 103 | k | kilo |
10-2 | c | centi | 102 | h | hecto |
10-1 | d | deci | 101 | da | Deca or deka |
Example usage: I= 118 A = 0.118 kA = 118000 mA. |
Selected Constants
Permeability of free space = 0.4 π μH/m
Permittivity of free space = 8.8542 pf/m
Absolute zero (temperature) = 0 K = −273.2°C = −459.7°F = 0°R
Freezing point of water = 273.2 K = 0°C = 32°F = 491.7°R
g = acceleration of gravity = 9.807 m/s2 = 32.17 ft/s2
G = gravitational constant = 66.72 pN (m2) (kg-2)
c = speed of light in vacuum = 0.2998 m/ns = 299.8 km/s
Avogadro’s constant = 1.602 × 1023 = molecules per mole
e = charge on electron = 0.1602 aC
m0 = electron rest mass = 9.11 × 10-28 gram
1 revolution = 2π radians = 360 degrees
1 standard atmosphere (atm) = 760 mm Hg = 101.3 kPa = 29.92 in Hg =
14.696 psi
Air density = 1.225 kg/m3@ 1 atmosphere, 15°C, 1 u = 1 amu = 1 atomic
mass unit = 1.661 × 10-27 kg
1 toe (1 tonne oil equivalent) = 41.868 GJ = 1270 m3 natural gas (STP) = 2.3 tonnes coal
Permittivity of free space = 8.8542 pf/m
Absolute zero (temperature) = 0 K = −273.2°C = −459.7°F = 0°R
Freezing point of water = 273.2 K = 0°C = 32°F = 491.7°R
g = acceleration of gravity = 9.807 m/s2 = 32.17 ft/s2
G = gravitational constant = 66.72 pN (m2) (kg-2)
c = speed of light in vacuum = 0.2998 m/ns = 299.8 km/s
Avogadro’s constant = 1.602 × 1023 = molecules per mole
e = charge on electron = 0.1602 aC
m0 = electron rest mass = 9.11 × 10-28 gram
1 revolution = 2π radians = 360 degrees
1 standard atmosphere (atm) = 760 mm Hg = 101.3 kPa = 29.92 in Hg =
14.696 psi
Air density = 1.225 kg/m3@ 1 atmosphere, 15°C, 1 u = 1 amu = 1 atomic
mass unit = 1.661 × 10-27 kg
1 toe (1 tonne oil equivalent) = 41.868 GJ = 1270 m3 natural gas (STP) = 2.3 tonnes coal
1 ton TNT = 4.184 GJ
Selected Conversion Factors
1 inch = 2.54 cm; 1 foot = 12 inches; 1 meter = 3.28084 feet
1 pound force (lbf)= 4.4482 newtons; 1 kilogram = 2.188 pound mass (lbm)
J in kg-m2 = 0.0.04246 × J in lbm-ft2
1 atomic mass unit = u = 1.661 × 10-27 kg
Electron/positron mass = 0.000549 u
Proton mass = 1.007276 u
Neutron mass = 1.008665 u
1 slug = 14.59 kilogram
1 foot-pound = 1.356 newton-meter
1 horsepower = 746 watts
1 British Thermal Unit (BTU) = 1055 joule
1 calorie = 4.19 joule
Temperature in Kelvin (K) = TK
Temperature in degrees Celsius (°C) = TC = TK – 273.2
Temperature in degrees Fahrenheit (°F) = TF = 1.8TC + 32
Temperature in degrees Rankine (°R) = TR = TF + 459.7
1 milligauss = 1 mG = 0.1 microtesla = 0.1 μT
1 ton (refrigeration) = 3517 watts = 12 kBTU/hr
1 tonne = 1 metric ton = 1000 kg
Speed in rad/s = (2π/60) × speed in rpm (rpm = revolutions per minute)
1 day = 24 hours; 1 hour = 60 minutes; 1 minute = 60 seconds
1 nautical mile = 6000 ft = 1.1364 mile
1 knot = 1 nautical mile per hour = 1.1364 mph = 0.5080 m/s
1 pound force (lbf)= 4.4482 newtons; 1 kilogram = 2.188 pound mass (lbm)
J in kg-m2 = 0.0.04246 × J in lbm-ft2
1 atomic mass unit = u = 1.661 × 10-27 kg
Electron/positron mass = 0.000549 u
Proton mass = 1.007276 u
Neutron mass = 1.008665 u
1 slug = 14.59 kilogram
1 foot-pound = 1.356 newton-meter
1 horsepower = 746 watts
1 British Thermal Unit (BTU) = 1055 joule
1 calorie = 4.19 joule
Temperature in Kelvin (K) = TK
Temperature in degrees Celsius (°C) = TC = TK – 273.2
Temperature in degrees Fahrenheit (°F) = TF = 1.8TC + 32
Temperature in degrees Rankine (°R) = TR = TF + 459.7
1 milligauss = 1 mG = 0.1 microtesla = 0.1 μT
1 ton (refrigeration) = 3517 watts = 12 kBTU/hr
1 tonne = 1 metric ton = 1000 kg
Speed in rad/s = (2π/60) × speed in rpm (rpm = revolutions per minute)
1 day = 24 hours; 1 hour = 60 minutes; 1 minute = 60 seconds
1 nautical mile = 6000 ft = 1.1364 mile
1 knot = 1 nautical mile per hour = 1.1364 mph = 0.5080 m/s
Temperature Scales
Kelvin | Centigrade | Rankine | Fahrenheit |
373 K | 100°C | 672°R | 212°F |
311 K | 38°C | 560°R | 212°F |
273 K | 0°C | 492°R | 32°F |
255 K | −18°C | 460°R | 0°F |
0 K | −273°C | 0°R | −460°F |
Notes
One unit C = one unit K; one unit F = one unit R; one unit K = I.8 F units.
Absolute zero (0 K) = −459.67°F = −273.15°C.
Normal human body temperature is 98.2°F (36.8°C).
One unit C = one unit K; one unit F = one unit R; one unit K = I.8 F units.
Absolute zero (0 K) = −459.67°F = −273.15°C.
Normal human body temperature is 98.2°F (36.8°C).
Units and Conversion Factors
Reviewed by haru
on
December 10, 2017
Rating:
No comments