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

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## Flywheel Energy Formula

The following equation is used to calculate the Flywheel Energy.

Ef = .5*I*w^2

Variables:

- Where Ef is the Flywheel Energy (Joules)
- I is the flywheel moment of inertia (kg-m^2)
- w is the angular velocity (rad/s)

To calculate the kinetic energy of a flywheel, multiply the moment of inertia by the square of the angular velocity, then divide by 2.

## How to Calculate Flywheel Energy?

The following two example problems outline the steps and information needed in order to calculate the Flywheel Energy.

**Example Problem #1:**

- First, determine the flywheel momentum of inertia (kg-m^2). In this example, the flywheel moment of inertia (kg-m^2) is measured to be 9.
- Next, determine the angular velocity (rad/s). For this problem, the angular velocity (rad/s) is calculated to be 5.
- Finally, calculate the Flywheel Energy using the formula above:

Ef = .5*I*w^2

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

Ef = .5*9*5^2 = 112.5 (Joules)

**Example Problem #2: **

Using the same process as example problem 1, we first define the needed variables outlined by the formula. In this case, the values are provide as:

flywheel moment of inertia (kg-m^2) = 9

angular velocity (rad/s) = 3

Entering these values into the formula or calculator above gives us:

**Ef = .5*9*3^2 = 40.5 **(Joules)