Flywheel Power Calculator
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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
- Input the Moment of Inertia: This is the rotational inertia of the flywheel.
- Input the Angular Velocity: The speed at which the flywheel is rotating.
- Input the Time: The time over which the power is measured.
- 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.