Enter the linear velocity and the radius of rotation into the calculator to determine the angular velocity.

Linear Velocity to Angular Velocity Formula

The following equation is used to calculate the .

AV = LV / R
  • Where AV is the angular velocity (rad/s)
  • LV is the linear velocity (m/s)
  • R is the radius of rotation (m)

To calculate the angular velocity from linear velocity, divide the linear velocity by the radius of rotation.

How to Convert Linear Velocity to Angular Velocity?

Example Problem:

The following example outlines the steps and information needed to convert Linear Velocity to Angular Velocity.

First, determine the linear velocity. In this example, the linear velocity is found to be 50m/s.

Next, determine the radius of rotation. For this problem, the radius of rotation is found to be 2m.

Finally, calculate the angular velocity using the formula above:

AV = LV / R

AV = 50 / 2

AV = 25 rad/s