Flywheel Energy Storage Calculation

Flywheel Energy Equation:

\[ E = \frac{1}{2} \times I \times \omega^2 \]

Energy Storage (E):

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1. What is Flywheel Energy Storage?

Flywheel energy storage is a mechanical energy storage system that stores energy in the form of rotational kinetic energy. The amount of energy stored depends on the moment of inertia and the square of the angular velocity.

2. How Does the Calculator Work?

The calculator uses the flywheel energy equation:

\[ E = \frac{1}{2} \times I \times \omega^2 \]

Where:

\( E \) — Energy stored (joules)
\( I \) — Moment of inertia (kg m²)
\( \omega \) — Angular velocity (radians per second)

Explanation: The energy stored in a flywheel increases with the square of its rotational speed, making higher speeds particularly effective for energy storage.

3. Importance of Flywheel Energy Calculation

Details: Accurate energy calculation is crucial for designing energy storage systems, determining storage capacity, and ensuring safe operation within material limits.

4. Using the Calculator

Tips: Enter moment of inertia in kg m² and angular velocity in rad/s. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What are typical applications of flywheel energy storage?
A: Used in uninterruptible power supplies, grid energy storage, and regenerative braking systems.

Q2: How efficient are flywheel energy storage systems?
A: Modern systems can achieve 85-95% efficiency with low-friction bearings and vacuum enclosures.

Q3: What limits the energy storage capacity?
A: Material strength limits the maximum rotational speed before centrifugal forces cause failure.

Q4: How does this compare to battery storage?
A: Flywheels have higher power density but lower energy density than batteries, with virtually unlimited charge/discharge cycles.

Q5: Can I use RPM instead of rad/s?
A: You'll need to convert RPM to rad/s (1 RPM = π/30 rad/s) before using this calculator.