Enter the angular velocity and the radius into the calculator to determine the tangential velocity.

Tangential Velocity Formula

The following equation is used to calculate the Tangential Velocity.

Vt = w * r

  • Where Vt is the tangential velocity (m/s)
  • w is the angular velocity (rad/s)
  • r is the radius of rotation (m)

To calculate the tangential velocity, multiply the angular velocity by the radius of rotation.

What is a Tangential Velocity?


A tangential velocity measures the instantaneous linear speed of an object in rotational motion.

How to Calculate Tangential Velocity?

Example Problem:

The following example outlines the steps and information needed to calculate Tangential Velocity.

First, determine the angular velocity. In this example, the angular velocity is 5 rad/s.

Next, determine the radius. For this problem, the radius is found to be 7 m.

Finally, calculate the Tangential Velocity using the formula above:

Vt = w * r

Vt = 5*7

Vt = 35 m/s