Angular Velocity Calculator
Convert rotation rates from displacement, RPM, or frequency into ω (rad/s)
Choose Your Known Values
Select a mode and fill in the corresponding inputs. The calculator always returns angular velocity in rad/s and deg/s, plus RPM.
Angular Velocity:
Formula Notes
- ω from displacement: ω = Δθ / Δt (θ in radians).
- ω from frequency: ω = 2πf.
- ω from RPM: ω = RPM × 2π / 60.
How angular velocity is calculated
Formula
ω = Δθ / Δt = 2πf
Angular velocity measures the rate of angular displacement, typically in radians per second.
Worked example
An object rotating at 3 revolutions per second has ω = 6π rad/s, about 18.85 rad/s.
Common mistake
Convert revolutions or degrees to radians when the result is required in SI units.