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Waves
Waves

SHM Maximum Velocity

vmax=Aωv_{max} = A\omega

Maximum speed occurs at equilibrium position.

Variables

v_max
Maximum velocity
At equilibrium
m/s
A
Amplitude
Maximum displacement
m
ω
Angular frequency
ω = 2πf
rad/s

Derivation

Maximum of |v| = |−Aω sin(ωt + φ)| is Aω.

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Common questions

What is the SHM Maximum Velocity formula?

SHM Maximum Velocity is written vₘₐₓ = Aω. Maximum speed occurs at equilibrium position. It belongs to Waves, under Simple Harmonic Motion.

What are the units in vₘₐₓ = Aω?

In SI units, v_max is maximum velocity, measured in m/s; A is amplitude, measured in m; ω is angular frequency, measured in rad/s.

How is the SHM Maximum Velocity formula derived?

Maximum of |v| = |−Aω sin(ωt + φ)| is Aω. The result is vₘₐₓ = Aω.