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37.2: Radius of Gyration

Last updated

Aug 8, 2024
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- 37.1: Introduction to the Moment of Inertia
- 37.3: Parallel Axis Theorem

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A quantity closely related to the moment of inertia is the radius of gyration $k$ . Whatever the shape of a body, if all its mass were to be located at the radius gyration $k$ , then the moment of inertia would be unchanged. The radius of gyration is given by

$k=\sqrt{\frac{I}{m}}$

where $I$ is the moment of inertia and $m$ is the mass of the body. As with moment of inertia, the radius of gyration depends upon the axis about which the body is rotated.

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