Flywheel Power Calculator

Flywheel Power Formula

The formula used to calculate the Flywheel Power is:

\[ P_{fw} = \frac{1}{2} \times I \times w^2 \div t \]

Where:

• \(P_{fw}\) is the Flywheel Power in watts (W)
• \(I\) is the moment of inertia in kilogram-square meters (kg-m²)
• \(w\) is the angular velocity in radians per second (rad/s)
• \(t\) is the time in seconds (s)

Example Calculation

Consider a flywheel with a moment of inertia \(I = 10 \, \text{kg-m}^2\), an angular velocity \(w = 20 \, \text{rad/s}\), and a time \(t = 5 \, \text{s}\).

\[ P_{fw} = \frac{1}{2} \times 10 \times 20^2 \div 5 = 400 \, \text{W} \]

How to Calculate Flywheel Power

1. Input the Moment of Inertia: This is the rotational inertia of the flywheel.
2. Input the Angular Velocity: The speed at which the flywheel is rotating.
3. Input the Time: The time over which the power is measured.
4. Calculate the Power: Use the formula to determine the power output of the flywheel.

This calculation is essential in understanding the power that can be harnessed from a flywheel system, which is crucial in applications such as energy storage, mechanical systems, and more.