Enter the mass (kg), the radius (m), and the angular acceleration (rad/s^2) into the calculator to determine the Angular Torque. 

Angular Torque Formula

The following formula is used to calculate the Angular Torque.

Ta = m*r^2*α

  • Where Ta is the Angular Torque (N-m)
  • m is the mass (kg) 
  • r is the radius (m) 
  • α is the angular acceleration (rad/s^2) 

How to Calculate Angular Torque?

The following example problems outline how to calculate Angular Torque.

Example Problem #1

  1. First, determine the mass (kg). In this example, the mass (kg) is determined to be 10 .
  2. Next, determine the radius (m). For this problem, the radius (m) is measured to be 3 .
  3. Next, determine the angular acceleration (rad/s^2). In this case, the angular acceleration (rad/s^2) is found to be 40.
  4. Finally, calculate the Angular Torque using the formula above: 

Ta = m*r^2*α

Inserting the values from above and solving yields: 

Ta = 10*3^2*40 = 3,600 (N-m)

Example Problem #2

Using the same method as above, determine the variables required by the formula. For this example problem, these are:

mass (kg) = 12

radius (m) = 5

angular acceleration (rad/s^2) = 15

Enter these given values yields: 

Ta = 12*5^2*15 = 4500 (N-m)