# How does the radius affect the moment of inertia?

##### 1 Answer

Mar 23, 2018

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

#### Explanation:

The moment of inertia,

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 hope this helps,

Steve