1. What is a Flywheel Energy Calculator?

Definition: This calculator determines the rotational kinetic energy stored in a flywheel based on its moment of inertia and angular velocity.

Purpose: It helps mechanical engineers and designers understand energy storage capacity in rotating systems like engine flywheels.

2. How Does the Calculator Work?

The calculator uses the rotational kinetic energy formula:

Where:

• \( E \) — Kinetic energy (Joules)
• \( I \) — Moment of inertia (kg·m²)
• \( \omega \) — Angular velocity (radians/second)

Explanation: The energy stored in a rotating flywheel is proportional to its moment of inertia and the square of its angular speed.

3. Importance of Flywheel Energy Calculation

Details: Proper energy calculation ensures the flywheel can smooth out power delivery in engines, store regenerative braking energy, or provide short-term power backup.

4. Using the Calculator

Tips: Enter the moment of inertia (resistance to angular acceleration) and angular speed (rotation rate). Both values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is moment of inertia?
A: It's a measure of an object's resistance to changes in rotation, depending on mass distribution relative to the axis.

Q2: How do I find angular speed?
A: Convert RPM to rad/s by multiplying by π/30 (e.g., 3000 RPM = 3000 × π/30 ≈ 314 rad/s).

Q3: What affects flywheel energy capacity?
A: Energy increases with higher rotational speed and mass concentrated farther from the axis.

Q4: Are there practical limits to flywheel speed?
A: Yes, material strength limits maximum speed due to centrifugal forces that could cause failure.

Q5: How is this used in real applications?
A: Flywheels store energy in vehicles (F1 KERS), grid stabilization, and industrial power quality systems.