Enter the moment of inertia (kg-m^2), the angular velocity (rad/s), and the time (s) into the calculator to determine the Flywheel Power. 

Flywheel Power Formula

The following formula is used to calculate the Flywheel Power.

Pfw = 1/2*I*w^2 / t
  • Where Pfw is the Flywheel Power (watts)
  • I is the moment of inertia (kg-m^2) 
  • w is the angular velocity (rad/s) 
  • t is the time (s) 

To calculate the flywheel power, multiply the momentum of inertia by the angular velocity squared, then divide by the 2 times the time.

How to Calculate Flywheel Power?

The following example problems outline how to calculate Flywheel Power.

Example Problem #1

  1. First, determine the moment of inertia (kg-m^2). In this example, the moment of inertia (kg-m^2) is determined to be 4 .
  2. Next, determine the angular velocity (rad/s). For this problem, the angular velocity (rad/s) is measured to be 4 .
  3. Next, determine the time (s). In this case, the time (s) is found to be 10.
  4. Finally, calculate the Flywheel Power using the formula above: 

Pfw = 1/2*I*w^2 / t

Inserting the values from above and solving yields: 

Pfw = 1/2*4*4^2 /10 = 3.2(watts)

Example Problem #2

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

moment of inertia (kg-m^2) = 56

angular velocity (rad/s) = 7

time (s) = 9

Enter these given values into the calculator or above yields: 

Pfw = 1/2*45*7^2 / 9 = 122.5 (watts)