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Mechanics Calculators

Angular Velocity Calculator

Angular velocity from angle and time, or from RPM — with the linear speed at a radius.

Enter values

Results update as you type.

Result

Angular velocity

10 rad/s

Angle swept
50 rad
Time
5 s

About the Angular Velocity Calculator

Angular velocity from angle and time, or from RPM — with the linear speed at a radius.

Also known as: omega calculator, rad/s from rpm, rotational speed, angular speed.

How to use this calculator

  1. Enter solve for.
  2. The result updates instantly as you type — press Calculate (or Enter) at any time.
  3. Review the breakdown shown under the main result.
  4. Use Copy result or Share to save the answer or send a link with your inputs.

Formula

ω = θ / t · ω = 2π × RPM / 60

Worked example

Using the values pre-filled in the calculator above:

  • Solve for: Angular velocity
  • Angle swept = 50 rad
  • Time = 5 s

the calculator returns:

  • Angular velocity: 10 rad/s
  • Angle swept: 50 rad
  • Time: 5 s