Monday, April 19, 2010

Derived units with special names

Base units can be combined to derive units of measurement for other quantities. In addition to the two dimensionless derived units radian (rad) and steradian (sr), 20 other derived units have special names.

Named units derived from SI base units
Name↓ Symbol↓ Quantity↓ Expression in terms of other units↓ Expression in terms of SI base units↓
hertz Hz frequency 1/s s-1
radian rad angle m∙m-1 dimensionless
steradian sr solid angle m2∙m-2 dimensionless
newton N force, weight kg∙m/s2 kg∙m∙s−2
pascal Pa pressure, stress N/m2 m−1∙kg∙s−2
joule J energy, work, heat N∙m = C·V = W·s m2∙kg∙s−2
watt W power, radiant flux J/s = V·A m2∙kg∙s−3
coulomb C electric charge or electric flux s∙A s∙A
volt V voltage, electrical potential difference, electromotive force W/A = J/C m2∙kg∙s−3∙A−1
farad F electric capacitance C/V m−2∙kg−1∙s4∙A2
ohm Ω electric resistance, impedance, reactance V/A m2∙kg∙s−3∙A−2
siemens S electrical conductance 1/Ω m−2∙kg−1∙s3∙A2
weber Wb magnetic flux J/A m2∙kg∙s−2∙A−1
tesla T magnetic field strength, magnetic flux density V∙s/m2 = Wb/m2 = N/(A∙m) kg∙s−2∙A−1
henry H inductance V∙s/A = Wb/A m2∙kg∙s−2∙A−2
Celsius C temperature K − 273.15 K − 273.15
lumen lm luminous flux lx·m2 cd·sr
lux lx illuminance lm/m2 m−2∙cd∙sr
becquerel Bq radioactivity (decays per unit time) 1/s s−1
gray Gy absorbed dose (of ionizing radiation) J/kg m2∙s−2
sievert Sv equivalent dose (of ionizing radiation) J/kg m2∙s−2
katal kat catalytic activity mol/s s−1∙mol

Other common units, such as the litre, are not SI units, but are accepted for use with SI (cf. non-SI units accepted for use with SI).

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