Waves

SHM Displacement

x=Acos(ωt+ϕ)x = A\cos(\omega t + \phi)

Position as function of time in SHM.

Variables

x
Displacement
Position from equilibrium
m
A
Amplitude
Maximum displacement
m
ω
Angular frequency
ω = 2πf
rad/s
t
Time
Time
s
φ
Phase constant
Initial phase
rad

Derivation

Solution to d²x/dt² = -ω²x.

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