Question

A wheel rotating about an axis has a kinectic energy of29j when it's angular speed is 13rad/s.what is the wheels moment of inertia about the axis of rotations

Answer 1

As we know, the kinetic energy of a rotating object is

$$E_K=\frac12I\omega^2,\\\space\\ I=\frac{2E_K}{\omega^2}=0.34\text{ kg}·\text{m}^2.$$