Small letters. Big meanings.

Physics symbols and what they mean

Physics formulas are written in symbols: F for force, m for mass, λ for wavelength, μ for the coefficient of friction. The tables below list the symbols used in introductory physics with their meaning, SI unit, and a formula where you will meet each one. Some letters mean different things in different topics, so always check the context.

Motion symbols

SymbolMeaningSI unitExample formula
x, s, dPosition, displacement, or distancemx = v₀t + ½at²
ΔxDisplacement (change in position)mΔx = x − x₀
tTimesv = v₀ + at
vVelocity (speed with a direction)m/sv = Δx/Δt
v₀ or uInitial velocitym/sv = v₀ + at
aAccelerationm/s²a = Δv/Δt
gGravitational acceleration (9.81 m/s² on Earth)m/s² or N/kgW = mg
θAngle, such as a launch angle or ramp angle° or radR = v₀² sin 2θ / g
RRange of a projectilemR = v₀² sin 2θ / g
h, HHeight; H is often maximum heightmH = v₀² sin²θ / (2g)

Forces symbols

SymbolMeaningSI unitExample formula
FForceNF = ma
Fnet, ΣFNet (resultant) force: the sum of all forcesNFnet = ma
mMasskgF = ma
W, FgWeight, the gravitational force on a massNW = mg
N, FₙNormal force from a surfaceNN = mg on level ground
fFriction forceNf = μN
fₛStatic friction force (object not sliding)Nfₛ ≤ μₛN
fₖKinetic friction force (object sliding)Nfₖ = μₖN
μ, μₛ, μₖCoefficient of friction: general, static, kineticnonef = μmg on level ground
T, FₜTension in a rope, string, or cableNT = mg for a hanging mass at rest
kSpring constant (stiffness)N/mF = −kx
FᵦBuoyant forceNFᵦ = ρfluid g Vsubmerged
ρDensitykg/m³ρ = m/V
VVolumem³Fᵦ = ρgV
pMomentumkg·m/sp = mv
GGravitational constant, 6.674 × 10⁻¹¹N·m²/kg²F = Gm₁m₂/r²
rRadius or separation distancemF = mv²/r

Energy, work & power symbols

SymbolMeaningSI unitExample formula
EEnergyJE = PE + KE
KE, EₖKinetic energyJKE = ½mv²
PE, Eₚ, UPotential energyJPE = mgh
WWork done by a forceJW = Fd cos θ
PPower: energy transferred per secondWP = W/t = Fv
ηEfficiency% or noneη = useful output ÷ input

Oscillations & waves symbols

SymbolMeaningSI unitExample formula
TPeriod: time for one complete cyclesT = 2π√(L/g)
fFrequency: cycles per secondHzf = 1/T
ωAngular frequencyrad/sω = √(k/m)
λWavelength: distance between neighbouring crestsmv = fλ
AAmplitude: largest displacement from equilibriummE = ½kA²
LLength of a pendulummT = 2π√(L/g)

Electricity symbols

SymbolMeaningSI unitExample formula
V, ΔVVoltage (potential difference)V (volt)V = IR
IElectric currentA (ampere)I = V/R
RResistanceΩ (ohm)R = R₁ + R₂ in series
ΩThe ohm, the unit of resistance—1 Ω = 1 V/A
QElectric chargeC (coulomb)Q = It
PElectrical powerW (watt)P = VI = I²R = V²/R

Optics symbols

SymbolMeaningSI unitExample formula
nRefractive indexnonen = c/v
cSpeed of light in a vacuum, 3.00 × 10⁸m/sn = c/v
θ₁, θ₂Angles of incidence and refraction, from the normal°n₁ sin θ₁ = n₂ sin θ₂
θcCritical angle°θc = arcsin(n₂/n₁)
fFocal length of a lensm or cm1/f = 1/dₒ + 1/dᵢ
dₒ, dᵢObject distance and image distancem or cm1/f = 1/dₒ + 1/dᵢ
MMagnificationnoneM = −dᵢ/dₒ

Same letter, different meaning

A handful of letters do double duty. The units usually tell you which quantity is meant.

SymbolPossible meanings
TPeriod of an oscillation, or tension in a rope.
PPower in watts, or pressure in pascals (often lower-case p).
pMomentum, or pressure.
WWeight (a force, in N), work (energy, in J), or the unit watt.
VVoltage in volts, or volume in m³.
fFrequency in Hz, friction force in N, or a lens’s focal length.
RResistance in ohms, the range of a projectile, or a radius.
FtTension force Fₜ, or force × time, which is impulse (N·s).

Subscripts and Greek letters

A subscript zero, as in v₀ or x₀, marks the starting value. Δ (delta) means “change in”, so Δx is final position minus initial position. Σ (sigma) means “sum of”, so ΣF is the net force. Greek letters often name angles (θ), densities (ρ), friction coefficients (μ), wavelengths (λ), and angular frequencies (ω).