Physics · University
Rotational kinetic energy · formula reference
Use moment of inertia about the stated rotation axis. Angular speed is in radians per second.
Formula
Use moment of inertia about the stated rotation axis. Angular speed is in radians per second.
K = Iω²/2
Worked example
A rigid body rotates about a fixed axis with moment of inertia 8.7 kg·m² and angular speed 28 rad/s. Calculate its rotational kinetic energy. Round the final result to 4 decimal places if needed. Answer in J.
K = (8.7)(28)²/2.
3410.4 J
Prerequisites and checking
Algebra, calculus and the stated physical model. Keep units and rounding consistent. State the model conditions before applying the formula.
Further reading and review references
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