Enter the change in angular position (angle) and the change in time into the calculator to determine the angular velocity.

Angular Velocity Calculator

Angular Velocity
Tangential Velocity
Period & Frequency

Enter any 2 values to calculate the missing variable

Angular Velocity Formula

The following equation is used to calculate the angular velocity.

\omega = \Delta\theta / \Delta t
  • Where ω is the angular velocity (rad/s)
  • Δθ is the change in angular position (radians)
  • Δt is the change in time (s)

To calculate angular velocity, divide the change in angular position by the change in time.

What is Angular Velocity?

Definition:

Angular velocity (ω) is the rate of change of angular position with respect to time, typically measured in radians per second (rad/s). (This is different from linear radial velocity, which is the time rate of change of radial distance, dr/dt, measured in m/s.)

How to Calculate Angular Velocity?

Example Problem:

The following example outlines the steps and information needed to calculate angular velocity.

First, determine the change in angular position. In this example, the change in angular position is found to be 50 radians.

Next, determine the change in time. In this case, the change in time is measured to be 5 seconds.

Finally, calculate the angular velocity using the formula above:

ω = Δθ / Δt

ω = 50 / 5

ω = 10 rad/s