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Formula Thin circular ring Moment of inertia    Mass    Radius

Formula
Formula: Thin circular ring

Moment of inertia

Unit
According to \( M ~=~ I \, \alpha \) (\(\alpha\): angular acceleration), the moment of inertia determines how hard it is to generate a torque \(M\) on the body. Moment of inertia \(I\) depends on the mass distribution and on the choice of the axis of rotation. Here we calculate the moment of inertia of a thin ring/strip whose axis of rotation passes through the center.

Mass

Unit
Total mass of the thin ring.

Radius

Unit
Radius of the ring. This is the distance of the mass points of the ring from the axis of rotation.