Final answer:
The angular velocity of a freely-rotating turntable remains constant. When the moment of inertia of the system increases, the angular velocity decreases to maintain the conservation of angular momentum.OPTION C.
Step-by-step explanation:
The angular velocity of a freely-rotating turntable remains constant regardless of where you crawl on the turntable. The moment of inertia of the system, which is determined by the distribution of mass, plays a role in the behavior of the angular velocity. The angular momentum of the system is conserved, meaning it stays constant unless acted upon by an external torque.
When you crawl towards the edge of the turntable, the moment of inertia increases. According to the conservation of angular momentum, if the moment of inertia increases, the angular velocity decreases to maintain the constant value of angular momentum. This is similar to the example of a child getting off a rotating merry-go-round where the angular velocity decreases when the child moves towards the center of the merry-go-round.