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

Flywheel Torque Formula

The following formula is used to calculate the Flywheel Torque.

Tfw = m*r^2/2/a
  • Where Tfw is the Flywheel Torque (N-m)
  • m is the flywheel mass (kg) 
  • r is the radius (m) 
  • a is the angular acceleration (rad/s^2) 

To calculate flywheel torque, multiply the flywheel mass by the radius squared, then divide by 2 times the angular acceleration.

How to Calculate Flywheel Torque?

The following example problems outline how to calculate the Flywheel Torque.

Example Problem #1

  1. First, determine the flywheel mass (kg). In this example, the flywheel mass (kg) is given as 20 .
  2. Next, determine the radius (m). For this problem, the radius (m) is given as  5 .
  3. Next, determine the angular acceleration (rad/s^2). In this case, the angular acceleration (rad/s^2) is found to be 6.
  4. Finally, calculate the Flywheel Torque using the formula above: 

Tfw = m*r^2/2/a

Inserting the values from above and solving yields: 

Tfw = 20*5^2/2/6 = 41.666 (N-m)

Example Problem #2

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

flywheel mass (kg) = 15

radius (m) = 10

angular acceleration (rad/s^2) = 7

Enter these given values yields: 

Tfw = 15*10^2/2/7 = 107.14 (N-m)