• Quantities defined in terms of the base quantities are known as derived quantities and are measured using derived units (see section 4.2.2 Derived Units).

• Some of the derived units have special names (designated by an * in Table 12).

• Celsius temperature (t) is related to thermodynamic temperature (T) by the following equation:

t (°C ) = T (K) – 273.15

Table 12: Examples of derived quantities, derived units, and equivalents

Derived Quantity

Quantity Symbol

Derived Unit

Unit Symbol

Acceptable Equivalent

acceleration

a

meter per second squared

m/s^{2}

area

A

square meter

m^{2}

capacitance

C

*farad

F

C/V = m^{2} kg^{-1} s^{4} A^{2}

Celsius temperature

t

*degree Celsius

°C

concentration

c

mole per cubic meter

mol/m^{3}

current density

j

ampere per square meter

A/m^{2}

density, mass density

ρ

kilogram per cubic meter

kg/m^{3}

g/L; mg/cm^{3}

dipole moment (electrical)

coulomb meter

C m

electric charge, amount of electricity

Q

*coulomb

C

s A

electric field strength

E

volt per meter

V/m

electric flux density

D

coulomb per square meter

C/m^{2}

electric potential difference

V

*volt

V

W/A = m^{2} kg s^{-3} A^{-1}

electric resistance

R

*ohm

Ω

V/A = m^{2} kg s^{-3} A^{-2}

energy, work, amount of heat

E

*joule

J

N m = m^{2} kg s^{-2}

force

F

*newton

N

m kg s^{-2}

frequency

f, ν

*hertz

Hz

s^{-1}

heat capacity

C

joule per kelvin

J/K

heat capacity, specific

C or c

joule per kilogram kelvin

J/(kg K)

illuminance

E_{V}

*lux

lx

lm/m^{2} = cd/m^{2}

luminous flux

F

*lumen

lm

cd sr = cd

magnetic field strength

H

ampere per meter

A/m

magnetic flux

Φ_{m}

*weber

Wb

V s = m^{2} kg s^{-2} A^{-1}

magnetic flux density

B

*tesla

T

Wb/m^{2} = kg s^{-2} A^{-1}

plane angle

*radian

rad

m/m = 1

power, radiant flux

P

*watt

W

J/s = m^{2} kg s^{-3}

pressure, stress

p

*pascal

Pa

N/m^{2} = m^{-1} kg s^{-2}

solid angle

*steradian

sr

m^{2}/m^{2} = 1

specific volume

v

cubic meter per kilogram

m^{3}/kg

velocity

υ

meter per second

m/s

volume

V

cubic meter

m^{3}

wave number

σ

reciprocal meter

m^{-1}

wavelength

λ

meter

m

8.2.0 Non-SI units

• Some non-SI units are still widely used and usually defined in terms of SI units (see Table 13).

Aug 29, 2009 1:45 pm. (14 total edits)Home | Contents | 1-3 Science | 4.1 Experiments | 4.2 Units | 4.3 Measurement | 4.4 Safety | 5 Data | 6-7 Reports | 8 Appendix

VCS Science Handbook Section 8

## 8.0.0 Appendix

8.1.0 Derived unitst) is related to thermodynamic temperature (T) by the following equation:t(°C ) =T(K) – 273.15a^{2}A^{2}C^{2}kg^{-1}s^{4}A^{2}tc^{3}j^{2}ρ^{3}^{3}QED^{2}V^{2}kg s^{-3}A^{-1}R^{2}kg s^{-3}A^{-2}E^{2}kg s^{-2}F^{-2}f,ν^{-1}CCorcE_{V}^{2}= cd/m^{2}FHΦ_{m}^{2}kg s^{-2}A^{-1}B^{2}= kg s^{-2}A^{-1}P^{2}kg s^{-3}p^{2}= m^{-1}kg s^{-2}^{2}/m^{2}= 1v^{3}/kgυV^{3}σ^{-1}λ8.2.0 Non-SI units^{-19}J^{-7}J^{-5}N^{-10}m^{3}