AllMyCalculators

Rotational Kinetic Energy Calculator

Works out the energy stored in rotation.

kg·m²
Rotational kinetic energy
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Angular velocity — rad/s
Energy from moving along —
Total kinetic energy —

The formula

KE = ½ I ω² total = ½ I ω² + ½ m v²

I is the moment of inertia and ω the angular velocity in rad/s.

What to watch out for

A wheel rolling without slipping has both kinds of energy, with ω = v ÷ r.

Frequently Asked Questions

How much energy is in a 0.5 kg·m² flywheel at 3,000 rpm?

24.67 kJ.

What happens if rpm doubles?

Energy goes up four times, to 98.7 kJ for that flywheel.