A children merry go round in the consist of 300 kg solid horizontal disk of radius 8.5 m. It rotates at a speed of .25 revolution per second while a person of mass 150 km takes a ride at the edge of the disk. How fast will the disk be rotating if the person walks 4m along the radius towards the center?

1 answer

V=0.25rev/s * 6.28rad/rev = 1.57 rad/s.

Note: The person's distance from the center does not affect the angular velocity. But the linear velocity decreases as the person walks toward the center.