Angular Velocity Calculator
Compute angular velocity ω = θ/t and the related linear velocity.
Input Data
Angle
rad
Time
s
Radius
m
Results
ω = θ/t.
3.141593rad/s
v = ω·r.
6.2832m/s
At a glance:ω = θ/t; v = ω·r. Complements angular-acceleration and centripetal-acceleration.
Formula
ω = θ / t.
v = ω·r.
$$\omega = \dfrac{\theta}{t} = 2\pi f = \dfrac{2\pi}{T}$$$$v = \omega r$$How to Use
- Enter angle, time and (optionally) radius.
- The tool returns ω and v.
Case Studies
θ=2π, t=1, r=0.5
ω=2π rad/s, v=π m/s.
FAQ
rpm to rad/s?
Multiply rpm by 2π/60.
Related Tools
References
Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.