# Formula Thin circular ring Moment of inertia    Mass    Radius

## 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.