Torque to Angular Acceleration Calculator

Enter the torque, the mass, and the radius, into the calculator to determine the Torque to Angular Acceleration. 

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Torque to Angular Acceleration Formula

The following equation is used to calculate the Torque to Angular Acceleration.

AA =(T/m) / r^2

• Where AA is the Torque to Angular Acceleration (rad/s^2)
• T is the torque (N-m)
• m is the mass (kg)
• r is the radius (m)

To calculate the torque from acceleration, divide the torque by the mass, then divide by the radius squared.

What are the units for Torque to Angular Acceleration?

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

How to Convert Torque to Angular Acceleration?

Example Problem:

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

First, determine the torque. In this example, the torque is calculated or measured to be 100 (N-m).

Next, determine the mass. For this problem, the mass is determined to be 5 (kg).

Next, determine the radius. In this case, the radius is found to be 5 (m).

Finally, calculate the Torque to Angular Acceleration using the formula above: 

AA =(T/m) / r^2

Inserting the values from above and solving the equation with the imputed values gives: 

AA =(100/5) / 5^2 = .8 (rad/s^2)