Rotational Kinetic Energy Calculator

Find the kinetic energy of a rotating object.

Rotational KE (J) 54

Formula: KE = ½·I·ω²

Step-by-step with your numbers:

1. Values used:

2. Moment of inertia = 3 kg·m²

3. Angular velocity = 6 rad/s

5. Rotational KE = 54J

Did we solve your problem today?

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.

I = 3 kg·m², ω = 6 rad/s → 54 J.

How is I found?

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