Enter the tangential acceleration and the radius of rotation into the calculator to determine the Radial Acceleration. 

Radial Acceleration Formula

The following equation is used to calculate the Radial Acceleration.

Ar = At / r
  • Where Ar is the Radial Acceleration (rad/s^2)
  • At is the tangential acceleration (m/s^2)
  • r is the radius of rotation (m)

To calculate the radial acceleration, divide the tangential acceleration by the radius of rotation.

What are the units for Radial Acceleration?

In the International System of Units, also known as SI units, the units for Radial Acceleration are rad/s^2.

How to Calculate Radial Acceleration?

Example Problem:

The following example problem outlines the steps and information needed to calculate the Radial Acceleration.

First, determine the tangential acceleration. In this example, the tangential acceleration is calculated or measured to be 100 (m/s^2).

Next, determine the radius of rotation. For this problem, the radius of rotation is determined to be 10 (m).

Finally, calculate the Radial Acceleration using the formula above: 

Ar = At / r

Inserting the values from above and solving the equation with the imputed values gives: Ar = 100 / 10 = 10 (rad/s^2)