# Formula: Steiner's Theorem For Shifting Axes of Rotation Moment of inertia    Moment of inertia through CM    Distance    Mass

## Moment of inertia

Unit
Moment of inertia of a rotating body (e.g. a cylinder) whose axis of rotation has been shifted parallel to the axis of rotation through the center of mass. With the Steiner's theorem, there is no need to calculate a complicated integral for the new axis of rotation.

## Moment of inertia through CM

Unit
Moment of inertia of the rotating body whose axis of rotation passes through the center of mass of the body.

## Distance

Unit
Distance of the new axis of rotation from the axis of rotation through the center of mass

## Mass

Unit
Total mass of the rotating body.

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