Gordon England Surface Engineering Forum

SI Derived Units

Some Examples Expressed in Terms of SI Base Units

Derived quantityQuantity
symbol
NameExpression in SI base units
areaAsquare metrem2
volumeVcubic metrem3
speed, velocityu, v, cmetre per secondm s-1
accelerationa, g (free fall)metre per second squaredm s-2
moment of inertiaIkilogram square metrekg m2
kinematic viscosityvsquare metre per secondm2 s-1
wave numberσ, φreciprocal metrem-1
mass densityρkilogram per cubic metrekg m-3
specific volumevcubic metre per kilogramm3 kg-1
current densityj, iampere per square metreA m-2
magnetic field strengthHampere per metreA m-1
concentration of substance B:cB, [B]mole per cubic metre mol/m-3
molar massMkilogram per molekg mol-1
molar volumeVmcubic metre per molem3mol-1
luminanceLcandela per square metrecd m-2
mass fractionwkilogram per kilogramdimensionless
Table 4. SI derived units expressed in terms of SI base units.

The table above shows some examples of derived quantities and units expressed in terms of SI base units.

Dimensionless Quantities

Some quantities are defined as the ratios of two quantities of the same kind, and thus have a dimension expressed by the number one. Examples of such quantities are refractive index, relative permeability, and mass fraction. Other quantities having the unit 1 include "characteristic numbers" like the quantum number and numbers which represent a count, such as a number of molecules and partition function in statistical thermodynamics. All of these quantities are described as being dimensionless, or of dimension one, and have the coherent SI unit 1. Their values are simply expressed as numbers and, in general, the unit 1 is not shown. In a few cases, a special name is given to this unit, mainly to avoid confusion between some compound derived units. This is the case for the radian, steradian and neper.

Si Units:
SI Base Units
SI Derived Units
expressed with special names
expressed in terms of SI base units
expressed in terms in terms of SI units with special names
SI Unit Prefixes
Non-SI Units
accepted by SI
currently accepted by SI
derived CGS units with special names
other non-SI units
Constants
Glossary of Units







CONVERSION CALCULATORS

Convert between Different Units of Measurement

Index of Unit Converters
ACCELERATION
ANGLE
AREA
AREA
DENSITY
DENSITY
DISTANCE
DYNAMIC
VISCOSITY
ENERGY
ENERGY
DENSITY
ENTROPY
FEED RATE
FLOW RATE
FORCE
FUEL
CONSUMPTION
HEAT
CAPACITY
HEAT FLUX
DENSITY
HEAT TRANSFER
COEFFICIENT
IRRADIANCE
KINEMATIC
VISCOSITY
LENGTH
MASS
POWER
PRESSURE
SPECIFIC
ENERGY
SPECIFIC
ENTHALPY
SPECIFIC
ENTROPY
SPECIFIC HEAT
CAPACITY
SPECIFIC
VOLUME
SPEED
TEMPERATURE
THERMAL
CONDUCTIVITY
TIME
TORQUE
VELOCITY
VOLUME
VOLUMETRIC
HEAT CAPACITY
Unit Prefixes
Plasma
Gas Flow
Hardness
MPa - GPa
Computing
Bits and Bytes

To use the measurement conversion calculators simply enter a number value into the desired field and click calculate. All results shown will be equivalent values. Values are given to seven significant figures ( the odd result may show 9's or 0's over running). Values of 10 000 or greater will be displayed in the e-format e.g. 2.3456e7 which equals 2.3456 x 107 or 23 456 000. Values lower than 0.001 will be displayed in the e-format e.g. 2.3456e-5 which equals 2.3456 x 10-5 or 0.000 023456. The calculators require that your browser has java script enabled. View all measurement unit conversion calculators on the same page (may not work with all browsers; requires Iframe).



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