A track is mounted on a large wheel that is free to turn with negligible friction about a vertical axis (Figure). A toy train of mass m is placed on the track and, with the system initially at rest; the train's electrical power is turned on. The train reaches speed 0.15 m/s with respect to the track. What is the angular speed of the wheel if its mass is 1.1m and its radius is 0.43 m? (Treat the wheel as a hoop, and neglect Rotation axis the mass of the spokes andhub.)