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Contents

Derived Units 

Chapter:
Units of Measure
Author(s):

Phil B. Fontanarosa

and Stacy Christiansen

Derived Units

Other SI measurement quantities are referred to as derived units and are expressed as products or quotients of the 7 base units. Certain derived SI units have special names and symbols and may be used in algebraic relationships to express other derived units. See the following tabulation.

Quantity

Name

SI Symbol

Derivation From Base Unit

Area

square meter

m2

m2

Volume

cubic meter

m3

m3

Speed, velocity

meter per second

m/s

m/s

Density, mass density

kilogram per cubic meter

kg/m3

kg/m3

Specific volume

cubic meter per kilogram

m3/kg

m3/kg

Concentration

mole per cubic meter

mol/m3

mol/m3

Frequency

hertz

Hz

s−1

Force

newton

N

kg · m · s−2

Pressure, stress

pascal

Pa

kg · m−1 · s−2 (N/m2)

Work, energy

joule

J

kg · m2 · s−2 (N · m)

Luminous flux

lumen

lm

m2 · m−2 · cd = cd

Power, radiant flux

watt

W

m2 · kg · s−3 (J/s)

Electric potential

volt

V

m2 · kg · s−3 · A−1

Electric charge

coulomb

C

A · s

Electric resistance

ohm

Ω

m2 · kg · s−3 · A−2 (V/A)

Capacitance

farad

F

m−2 · kg−1 · s4 · A2 (C/V)

Magnetic flux

weber

Wb

m2 · kg · s−2 · A−1 (V · s)

Magnetic flux density

tesla

T

kg · s−2 · A−1 (Wb/m2)

Inductance

henry

H

m2 · kg · s−2 · A−2

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