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Base quantities and derived quantitites

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Analogous to the SI the Application Server defines seven base quantities. Table 1 shows these base quantities along with their corresponding SI base units and dimensions.

Other quantities, called derived quantities, are defined based on these seven base quantities via a system of quantity equations. Each derived quantity can be expressed as term consisting of only base quantities as shown in figure 1.

The derived units for derived quantities are obtained from these equations and the base units. Note that the Application Server only supports unit systems that work define the same base units and that define derived units in the same way.

Quantity

Dimension symbol

Quantity symbol

SI Base Unit

Name

Symbol

Length

L

l

meter

m

Mass

M

m

kilogram

kg

Time

T

t

second

s

Electric current

I

I

ampere

A

Thermodynamic temperature

Θ

T

Kelvin

K

Amount of substance

N

n

mole

mol

Luminous intensity

J

Iv

candela

cd

Table 1: The seven base quantities and their corresponding SI base unit names and symbol

Figure 1: The universal term used to derive a quantity from base quantities

For ease of understanding and convenience 22 SI derived quantities and units have been given special names and symbols. Table two lists these 22 derived quantities together with their SI  unit name and symbol. The expression to derive those units from other SI units can of course be expanded to use only SI base units.

 

Derived quantity

SI derived unit

Name

Symbol

Expression in terms of SI units

Planar angle

radian

rad


Solid angle

steradian

sr


Frequency

herz

Hz


Force

newton

N


Pressure, stress

pascal

Pa

N/m2

Energy, work, quantity of heat

joule

J

Nm

Power, radiant flux

watt

W

J/s

Electric charge, quantity of electricity

coulomb

C


Electric potential difference, electromotive force

volt

V

W/A

Capacitance

farad

F

C/V

Electric resistance

ohm

Ω

V/A

Electric conductance

siemens

S

A/V

Magnetic flux

weber

Wb

Vs

Magnetic flux density

tesla

T

Wb/m2

Inductance

henry

H

Wb/A

Celsius temperature

degree Celsius

°C


Luminous flux

lumen

lm

cd sr

Illuminance

lux

lx

lm/m2

Activity of a radionuclide

becquerel

Bq


Absorbed dowse, specific energy, kerma

gray

Gy

J/kg

Dose equicalent

sievert

Sv

J/kg

Catalytic activity

katal

kat


Table : Derived quantities with special names as defined in SI

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