Physics

Problem

A flywheel is being designed for an engine. It is modeled as a uniform annular disc (a disc with a concentric hole) of mass

M = 10\,\text{kg}

and outer radius

R_{2} = 0.5\,\text{m}

. If the required Moment of Inertia about the central axis is

1.7\,\text{kg}\cdot\text{m}^{2}

, calculate the inner radius

R_{1}

of the annulus.