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

Circular Velocity Formula

The following equation is used to calculate the Circular Velocity.

Vc = Vt / R

  • Where Vc is the circular velocity (rad/s)
  • Vt is the tangential velocity (m/s)
  • R is the radius of the circle (m)

What is a Circular Velocity?


A circular velocity is defined as the total angular speed of a rotating object relative to the circle’s radius.

How to Calculate Circular Velocity?

Example Problem:

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

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

Next, determine the radius of the circle. In this case, the radius of the circle is measured to be 25m.

Finally, calculate the Circular Velocity using the formula above:

Vc = Vt / R

Vc = 50/25

Vc = 2 rad /s