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.

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## 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**

- First, determine the moment of inertia (kg-m^2). In this example, the moment of inertia (kg-m^2) is determined to be 4 .
- Next, determine the angular velocity (rad/s). For this problem, the angular velocity (rad/s) is measured to be 4 .
- Next, determine the time (s). In this case, the time (s) is found to be 10.
- 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)