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Physical Quantity Reference

  

 Physical Quantity 

Quantity

Symbol

Used for

Unit

abasement

A

Measure of sustained displacement: the first integral with respect to time of displacement

ms

Absorbed dose rate

D

Absorbed dose received per unit of time

Gy/s

Acceleration

a

Rate of change of velocity per unit time: the second time derivative of position

m/s2

Action

S

Momentum of particle multiplied by distance travelled

J/Hz

Angular acceleration

ωa

Change in angular velocity per unit time

rad/s2

Angular momentum

L

Measure of the extent and direction of an object rotates about a reference point

kgm2/s

Angular velocity

ω

The angle incremented in a plane by a segment connecting an object and a reference point per unit time

rad/s

Area

A

Extent of a surface

m2

Area density

ρA

Mass per unit area

kgm−2

Capacitance

C

Stored charge per unit electric potential

farad (F = C/V)

Catalytic activity concentration

Change in reaction rate due to presence of a catalyst per unit volume of the system

katm−3

Centrifugal force

Fc

Inertial force that appears to act on all objects when viewed in a rotating frame of reference

Nrad = kgmrads−2

Chemical potential

μ

Energy per unit change in amount of substance

J/mol

Crackle

c

Change of jounce per unit time: the fifth time derivative of position

m/s5

Current density

Electric current per unit cross-section area

A/m2

Dose equivalent

H

Received radiation adjusted for the effect on biological tissue

sievert (Sv = m2/s2)

Dynamic viscosity

v

Measure for the resistance of an incompressible fluid to stress

Pas

Electric charge

Q

The force per unit electric field strength

coulomb (C = As)

Electric Current

I or i

Rate of flow of electrical charge per unit time

ampere (A)

Electric charge density

ρQ

Electric charge per unit volume

C/m3

Electric dipole moment

p

Measure of the separation of equal and opposite electric charges

Cm

Electric displacement field

D

Strength of the electric displacement

C/m2

Electric field strength

E

Strength of the electric field

V/m, N/C

Electrical conductance

G

Measure for how easily current flows through a material

siemens (S = Ω−1)

Electrical conductivity

σ

Measure of a material's ability to conduct an electric current

S/m

Electric potential

φ

Energy required to move a unit charge through an electric field from a reference point

volt (V = J/C)

Electrical resistance

R

Electric potential per unit electric current

ohm (Ω = V/A)

Electrical resistivity

ρe

Bulk property equivalent of electrical resistance

ohm-metre (Ωm)

Energy

E

Energy

J

Energy density

ρE

Energy per unit volume

Jm−3

Entropy

S

Logarithmic measure of the number of available states of a system

J/K

Force

F

Transfer of momentum per unit time

newton (N = kgms−2)

Frequency

f

Number of (periodic) occurrences per unit time

hertz (Hz = s−1)

Half-life

t1/2

Time for a quantity to decay to half its initial value

s

Heat

Q

Thermal energy

joule (J)

Heat capacity

Cp

Energy per unit temperature change

J/K

Heat flux density

ϕQ

Heat flow per unit time per unit surface area

W/m2

Illuminance

Ev

Wavelength-weighted luminous flux per unit surface area

lux (lx = cdsr/m2)

Impedance

Z

Resistance to an alternating current of a given frequency, including effect on phase

ohm (Ω)

Impulse

J

Transferred momentum

newton-second (Ns = kgm/s)

Inductance

L

Magnetic flux generated per unit current through a circuit

henry (H)

Irradiance

E

Electromagnetic radiation power per unit surface area

W/m2

Intensity

I

Power per unit cross sectional area

W/m2

Jerk

j

Change of acceleration per unit time: the third time derivative of position

m/s3

Jounce (or snap)

s

Change of jerk per unit time: the fourth time derivative of position

m/s4

Linear density

ρl

Mass per unit length

kgm−1

Luminous flux (or luminous power)

F

Perceived power of a light source

lumen (lm = cdsr)

Mach number (or mach)

M

Ratio of flow velocity to the local speed of sound

unitless

Magnetic field strength

H

Strength of a magnetic field

A/m

Magnetic flux

Φ

Measure of magnetism, taking account of the strength and the extent of a magnetic field

weber (Wb)

Magnetic flux density

B

Measure for the strength of the magnetic field

tesla (T = Wb/m2)

Magnetic moment (or magnetic dipole moment)

m

The component of magnetic strength and orientation that can be represented by an equivalent magnetic dipole

Nm/T

Magnetization

M

Amount of magnetic moment per unit volume

A/m

Mass fraction

x

Mass of a substance as a fraction of the total mass

kg/kg

(Mass) Density (or volume density)

ρ

Mass per unit volume

kg/m3

Mean lifetime

τ

Average time for a particle of a substance to decay

s

Molar concentration

C

Amount of substance per unit volume

molm−3

Molar energy

J/mol

Amount of energy present in a system per unit amount of substance

J/mol

Molar entropy

Entropy per unit amount of substance

J/(Kmol)

Molar heat capacity

c

Heat capacity of a material per unit amount of substance

J/(Kmol)

Moment of inertia

I

Inertia of an object with respect to angular acceleration

kgm2

Momentum

p

Product of an object's mass and velocity

kgm/s

Optical power

P

Measure of the effective curvature of a lens or curved mirror; inverse of focal length

dioptre (dpt = m−1)

Permeability

μs

Measure for how the magnetization of material is affected by the application of an external magnetic field

H/m

Permittivity

εs

Measure for how the polarization of a material is affected by the application of an external electric field

F/m

Plane angle

θ

Ratio of circular arc length to radius

radian (rad)

Power

P

Rate of transfer of energy per unit time

watt (W)

Pressure

p

Force per unit area

pascal (Pa = N/m2)

Pop

p

Rate of change of crackle per unit time: the sixth time derivative of position

m/s6

(Radioactive) Activity

A

Number of particles decaying per unit time

becquerel (Bq = Hz)

(Radioactive) Dose

D

Ionizing radiation energy absorbed by biological tissue per unit mass

gray (Gy = m2/s2)

Radiance

L

Power of emitted electromagnetic radiation per unit solid angle per emitting source area

W/(m2sr)

Radiant intensity

I

Power of emitted electromagnetic radiation per unit solid angle

W/sr

Reaction rate

r

Rate of a chemical reaction for unit time

mol/(m3s)

Refractive index

n

Factor by which the phase velocity of light is reduced in a medium

unitless

Reluctance

resistance to the flow of magnetic flux

H−1

Solid angle

Ω

Ratio of area on a sphere to its radius squared

steradian (sr)

Specific energy

Energy density per unit mass

Jkg−1

Specific heat capacity

c

Heat capacity per unit mass

J/(Kkg)

Specific volume

v

Volume per unit mass (reciprocal of density)

m3kg−1

Spin

S

Quantum-mechanically defined angular momentum of a particle

kgm2s−1

Strain

ε

Extension per unit length

unitless

Stress

σ

Force per unit oriented surface area

Pa

Surface tension

γ

Energy change per unit change in surface area

N/m or J/m2

Temperature gradient

steepest rate of temperature change at a particular location

K/m

Thermal conductance

κ (or) λ

Measure for the ease with which an object conducts heat

W/K

Thermal conductivity

λ

Measure for the ease with which a material conducts heat

W/(mK)

Thermal resistance

R

Measure for the ease with which an object resists conduction of heat

K/W

Thermal resistivity

Rλ

Measure for the ease with which a material resists conduction of heat

Km/W

Torque

τ

Product of a force and the perpendicular distance of the force from the point about which it is exerted

newton-metre (Nm)

Velocity

v

Moved distance per unit time: the first time derivative of position

m/s

Volume

V

Three dimensional extent of an object

m3

Volumetric flow rate

Q

Rate of change of volume with respect to time

m3s−1

Wavelength

λ

Perpendicular distance between repeating units of a wave

m

Wavenumber

k

Repetency or spatial frequency: the number of cycles per unit distance

m−1

Wavevector

k

Repetency or spatial frequency vector: the number of cycles per unit distance

m−1

Weight

w

Gravitational force on an object

newton (N = kgm/s2)

Work

W

Transferred energy

joule (J)

Young's modulus

E

Ratio of stress to strain

pascal (Pa = N/m2)

 

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