Physics

Rotational Kinetic Energy Calculator

Find the kinetic energy of a rotating object.

Parameters Live Compute
Calculated Output
Rotational KE (J) 54
Formula: KE = ½·I·ω²
Step-by-Step Breakdown
1. Values used:
2. Moment of inertia = 3 kg·m²
3. Angular velocity = 6 rad/s
4.
5. Rotational KE = 54J
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Spinning objects store kinetic energy proportional to their moment of inertia and the square of spin rate.

The math behind it

KE = ½·I·ω², the rotational analog of ½mv².

Worked Example

I = 3 kg·m², ω = 6 rad/s → 54 J.

Frequently Asked Questions

How is I found?

It depends on shape and mass distribution; use a moment of inertia calculator.

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