PhysRefPhysics reference
Waves
Waves

SHM Velocity

v=−Aωsin⁡(ωt+ϕ)v = -A\omega\sin(\omega t + \phi)

Velocity as function of time in SHM.

Variables

v
Velocity
Instantaneous velocity
m/s
A
Amplitude
Maximum displacement
m
ω
Angular frequency
ω = 2πf
rad/s
t
Time
Time
s
φ
Phase constant
Initial phase
rad

Derivation

v = dx/dt = -Aω sin(ωt + φ).

Your notes

0/5000

Common questions

What is the SHM Velocity formula?

SHM Velocity is written v = -Aωsin(ωt + φ). Velocity as function of time in SHM. It belongs to Waves, under Simple Harmonic Motion.

What are the units in v = -Aωsin(ωt + φ)?

In SI units, v is velocity, measured in m/s; A is amplitude, measured in m; ω is angular frequency, measured in rad/s; t is time, measured in s; φ is phase constant, measured in rad.

How is the SHM Velocity formula derived?

v = dx/dt = -Aω sin(ωt + φ). The result is v = -Aωsin(ωt + φ).