Flywheel Energy Calculator

This calculator can be used to determine the kinetic energy stored in a flywheel system based on its rotational parameters.

Input Parameters

Calculation Results

Calculation Formula

Energy = 0.5 × Mass × Radius² × Angular Velocity²

Where:
Mass = Mass of the flywheel (kg)
Radius = Radius of the flywheel (m)
Angular Velocity = Rotational speed in radians per second (rad/s)

Flywheel Energy Calculator Usage Guide

Learn how to use the Flywheel Energy Calculator and understand its working principles

How to Use This Calculator

  1. Enter the mass of your flywheel in kilograms (kg).
  2. Input the radius of the flywheel in meters (m).
  3. Provide the angular velocity of the flywheel in radians per second (rad/s).
  4. Click the "Calculate" button to compute the kinetic energy stored in the flywheel.
  5. The result will be displayed in Joules (J).

Working Principle

The kinetic energy stored in a flywheel is calculated using the formula:

Energy = 0.5 × Mass × Radius² × Angular Velocity²

This formula derives from the rotational kinetic energy equation where the energy is proportional to the mass, the square of the radius (representing the moment of inertia for a solid cylinder), and the square of the angular velocity.

Applications

Flywheels are used in various applications including:

  • Energy storage systems
  • Regenerative braking in vehicles
  • Stabilizing rotational motion in machinery
  • Frequency regulation in electrical power systems

Example

If you have a flywheel with a mass of 10 kg, radius of 0.2 m, and angular velocity of 200 rad/s, the stored energy would be:

Energy = 0.5 × 10 × (0.2)² × (200)² = 4000 Joules