Mechanics

Angular Velocity

ω=ΔθΔt\omega = \frac{\Delta\theta}{\Delta t}

Rate of change of angular position.

Variables

ω
Angular velocity
Rate of rotation
rad/s
Δθ
Angular displacement
Angle swept
rad
Δt
Time interval
Elapsed time
s

Derivation

Angular analog of velocity: ω = dθ/dt.

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Common questions

What is the Angular Velocity formula?

Angular Velocity is written ω= Δθ/Δt. Rate of change of angular position. It belongs to Mechanics, under Rotational Motion.

What are the units in ω= Δθ/Δt?

In SI units, ω is angular velocity, measured in rad/s; Δθ is angular displacement, measured in rad; Δt is time interval, measured in s.

How is the Angular Velocity formula derived?

Angular analog of velocity: ω = dθ/dt. The result is ω= Δθ/Δt.