Angular Velocity and Circular Period Calculator
Converts any description of steady rotation into the others.
Angular velocity
— rad/s
Share sends a link that reopens these numbers. Copy details pastes the full breakdown as a list.
Revolutions per minute — rpm
Degrees per second — °/s
Period, one full turn —
Frequency —
Edge speed —
The formula
ω = 2π × f = 2π ÷ T ω = θ ÷ t ω = v ÷ r
One full turn is 2π radians. f is revolutions per second and T the time for one turn.
What to watch out for
The period here is also the period of circular motion: the time for one full lap.
Frequently Asked Questions
What is 3,000 rpm in rad/s?
314.16 rad/s, with a period of 0.02 s.
How do I find the period of circular motion?
Divide the circumference by the speed: T = 2πr ÷ v. At 10 m/s on a 5 m radius, it is 3.14 s.