Appendix A: Units

OpenStax CNX

Appendices

Appendix A: Units

Quantity	Common Symbol	Unit	Unit in Terms of Base SI Units
Acceleration	$a\to$	m/s²	m/s²
Amount of substance	n	mole	mol
Angle	$θ,ϕ$	radian (rad)
Angular acceleration	$α\to$	rad/s²	s⁻²
Angular frequency	$ω$	rad/s	s⁻¹
Angular momentum	$L\to$	$kg\cdotm2/s$	$kg\cdotm2/s$
Angular velocity	$ω\to$	rad/s	s⁻¹
Area	A	m²	m²
Atomic number	Z
Capacitance	C	farad (F)	$A2\cdots4/kg\cdotm2$
Charge	q, Q, e	coulomb (C)	$A\cdots$
Charge density:
Line	$λ$	C/m	$A\cdots/m$
Surface	$σ$	C/m²	$A\cdots/m2$
Volume	$ρ$	C/m³	$A\cdots/m3$
Conductivity	$σ$	$1/Ω\cdotm$	$A2\cdots3/kg\cdotm3$
Current	I	ampere	A
Current density	$J\to$	A/m²	A/m²
Density	$ρ$	kg/m³	kg/m³
Dielectric constant	$κ$
Electric dipole moment	$p\to$	$C\cdotm$	$A\cdots\cdotm$
Electric field	$E\to$	N/C	$kg\cdotm/A\cdots3$
Electric flux	$Φ$	$N\cdotm2/C$	$kg\cdotm3/A\cdots3$
Electromotive force	$ε$	volt (V)	$kg\cdotm2/A\cdots3$
Energy	E,U,K	joule (J)	$kg\cdotm2/s2$
Entropy	S	J/K	$kg\cdotm2/s2\cdotK$
Force	$F\to$	newton (N)	$kg\cdotm/s2$
Frequency	f	hertz (Hz)	s⁻¹
Heat	Q	joule (J)	$kg\cdotm2/s2$
Inductance	L	henry (H)	$kg\cdotm2/A2\cdots2$
Length:	$ℓ,L$	meter	m
Displacement	$Δx,Δr\to$
Distance	d, h
Position	$x,y,z,r\to$
Magnetic dipole moment	$μ\to$	$N\cdotJ/T$	$A\cdotm2$
Magnetic field	$B\to$	$tesla(T)=(Wb/m2)$	$kg/A\cdots2$
Magnetic flux	$Φm$	weber (Wb)	$kg\cdotm2/A\cdots2$
Mass	m, M	kilogram	kg
Molar specific heat	C	$J/mol\cdotK$	$kg\cdotm2/s2\cdotmol\cdotK$
Moment of inertia	I	$kg\cdotm2$	$kg\cdotm2$
Momentum	$p\to$	$kg\cdotm/s$	$kg\cdotm/s$
Period	T	s	s
Permeability of free space	$μ0$	$N/A2=(H/m)$	$kg\cdotm/A2\cdots2$
Permittivity of free space	$ε0$	$C2/N\cdotm2=(F/m)$	$A2\cdots4/kg\cdotm3$
Potential	V	$volt(V)=(J/C)$	$kg\cdotm2/A\cdots3$
Power	P	$watt(W)=(J/s)$	$kg\cdotm2/s3$
Pressure	p	$pascal(Pa)=(N/m2)$	$kg/m\cdots2$
Resistance	R	$ohm(Ω)=(V/A)$	$kg\cdotm2/A2\cdots3$
Specific heat	c	$J/kg\cdotK$	$m2/s2\cdotK$
Speed	$ν$	m/s	m/s
Temperature	T	kelvin	K
Time	t	second	s
Torque	$τ\to$	$N\cdotm$	$kg\cdotm2/s2$
Velocity	$v\to$	m/s	m/s
Volume	V	m³	m³
Wavelength	$λ$	m	m
Work	W	$joule(J)=(N\cdotm)$	$kg\cdotm2/s2$

Table A1 Units Used in Physics (Fundamental units in bold)

Download for free at http://cnx.org/contents/af275420-6050-4707-995c-57b9cc13c358@11.1

Appendix A: Units

License

Share This Book