Flywheel Energy Storage Calculator

Calculate kinetic energy stored in a rotating flywheel from mass, radius, speed, and shape.

STORED ENERGY
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Energy (kJ)
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Energy (Wh)
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Moment of Inertia
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Tip Speed
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Flywheel Storage

Flywheels store kinetic energy in rotation. Modern systems use carbon fiber rotors, magnetic bearings, and vacuum enclosures for high speed with minimal friction. They offer fast charge/discharge, unlimited cycle life, and no degradation, making them ideal for grid frequency regulation, UPS, and regenerative braking.

Energy scales with the square of angular velocity, so doubling speed quadruples stored energy. Material tensile strength limits maximum speed because centrifugal forces increase with the square of speed. Carbon fiber allows tip speeds of 1000-1500 m/s versus 200 m/s for steel.

Formula

E = 1/2 * I * omega^2 = 1/2 * k*m*r^2 * (2*pi*n/60)^2

Comparison

StorageWh/kgCycle Life
Steel flywheel5-10>1M
Composite flywheel50-100>1M
Li-ion battery150-250500-5000
Supercapacitor5-15>500K

FAQ

What limits speed?

Rotor tensile strength vs centrifugal force. Carbon fiber reaches 1000-1500 m/s tip speed. Steel fails around 200 m/s. Composite rotors disintegrate into fibers (safer) vs steel fragments.

How efficient?

85-95% round-trip for short duration (seconds to minutes). Self-discharge 1-5%/hour even with magnetic bearings and vacuum. Best for high-power, short-duration applications.

Are they dangerous?

High-energy rotors need containment. Modern composites fail into fibers (safe). Steel flywheels produce dangerous fragments. All commercial systems use heavy containment vessels as standard safety measure.