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A track is mounted on a large wheel that is free to turn with negligible friction...

A track is mounted on a large wheel that is free to turn with negligible friction about a vertical axis. A toy train of mass m = 0.100 kg is placed on the track and, with the system initially at rest, the train's electrical power is turned on. The train reaches a steady speed 0.11 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 0.44 m? (Treat the wheel as a hoop, and neglect the mass of the spokes and hub.)

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