Answer:
ω = 0.55 rev/s.
Step-by-step explanation:
Since there is no external torque, the angular momentum of the system is conserved. Therefore, the angular momentum when the man is at x = 1.9 m is equal to that of x = 0 m.
where I is the moment of inertia of the system. The system consist of the merry-go-round which is a solid cylinder and the man which can be regarded as a point object.
The total moment of inertia in the first case is
The moment of inertia in the second case is
In the second case, the man has no contribution to the moment of inertia of the system, since he stands on the center.
Finally,