Abstract: Reuleaux polygon is a kind of curve with constant width．Two solution approaches to rotational inertia for Reuleaux triangle sheet are introduced, and the case of Reuleaux polygon sheet is also elucidated. On the other hand, based on the definition of rotational inertia, the numerical simulation results of rotational inertia are compared well with the analytical results.

Key words: rotational inertia, Reuleaux polygon, curve of constant width