Waves formula sheet

37 rows · 5 sections · PhysRef · sample of the first 6 rows

Waves formula sheet. Every waves equation in PhysRef on one sheet — 37 formulas across 5 topics, each with its equation set in real maths, a symbol key and the SI unit of every symbol.
Quantity	Equation	Symbols	SI units
Simple Harmonic Motion
SHM Displacement	$x = A\cos(\omega t + \phi)$	x = displacement · A = amplitude · ω = angular frequency · t = time · φ = phase constant	x: m · A: m · ω: rad/s · t: s · φ: rad
SHM Velocity	$v = -A\omega\sin(\omega t + \phi)$	v = velocity · A = amplitude · ω = angular frequency · t = time · φ = phase constant	v: m/s · A: m · ω: rad/s · t: s · φ: rad
SHM Acceleration	$a = -\omega^2 x$	a = acceleration · ω = angular frequency · x = displacement	a: m/s² · ω: rad/s · x: m
SHM Maximum Velocity	$v_{max} = A\omega$	v_max = maximum velocity · A = amplitude · ω = angular frequency	v_max: m/s · A: m · ω: rad/s
Spring Oscillation Period	$T = 2\pi\sqrt{\frac{m}{k}}$	T = period · m = mass · k = spring constant	T: s · m: kg · k: kg/s²
Pendulum Period	$T = 2\pi\sqrt{\frac{L}{g}}$	T = period · L = length · g = gravitational acceleration	T: s · L: m · g: m/s²

Built from the 37 waves entries in the PhysRef reference, grouped by the topics that category page uses. Every equation here is free to read on its own page at /formulas.

Every row on this sheet is also free on its own page — browse the Waves formulas. Premium pays for the sheet, not the physics.