Moment of inertia

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The moment of inertia is a measure of a mass and its distance perpendicular to an axis of rotation.

Mathematically, the moment of inertia I for a mass m that is moving a perpendicular distance of r from an axis is expressed as:

I = \int r^2 \,dm

The formula for a moment of inertia is the result of combining the equation for kinetic energy with the equation for angular velocity.

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