Kinetic Energy of Body at Constant Angular Speed

Theorem

Let $B$ be a body rotating at an angular speed $\omega$ about some axis of rotation $R$.

Let $I$ denote the moment of inertia of $B$ about $R$.

Then the kinetic energy $T$ of $B$ brought about by this rotation is given by:

$T = \dfrac {I \omega^2} 2$

Proof

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Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): kinetic energy
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): kinetic energy