How does the radius affect the moment of inertia?

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How does the radius affect the moment of inertia?

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Answer 1 · 2018-03-23T14:55:15

Moment of inertia is directly proportional to the square of the radius.

Explanation:

The moment of inertia, $I$ $I$ , of a single mass, $M$ $M$ , being twirled by a thread of length, $R$ $R$ , is
$I = M \cdot R^{2}$ $I = M*R^2$

A body that is being rotated will closely resemble that relationship. The formulas for various geometric shapes are derived with integration. For example, for a solid sphere, moment of inertia is
$I = (\frac{2}{5}) \cdot M \cdot R^{2}$ $I = (2/5)*M*R^2$

I hope this helps,
Steve

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How does the radius affect the moment of inertia?

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