Three children are riding on the edge of a merry go round that is 105 kg, has a

Question

Three children are riding on the edge of a merry go round that is 105 kg, has a 1.70 m radius, and is spinning at 22.0 rpm. The children have masses of 22.0, 28.0, and 33.0 kg. If the child who has a mass of 28.0 kg moves to the center of the merry go round, what is the new angular velocity in rpm? Ignore friction, and assume that the merry go round can be treated as a solid disk and the children as points. Three children are riding on the edge of a merry go round that is 105 kg, has a 1.70 m radius, and is spinning at 22.0 rpm. The children have masses of 22.0, 28.0, and 33.0 kg. If the child who has a mass of 28.0 kg moves to the center of the merry go round, what is the new angular velocity in rpm? Ignore friction, and assume that the merry go round can be treated as a solid disk and the children as points.

Explanation / Answer

platform: I_p = ½mr² = ½ * 105kg * (1.7m)² = 151.725 kg·m²
children: initial I_c = (22 + 28 + 33)kg * (1.7m)² = 239.87 kg·m²
and final I_c = (22 + 33)kg * (1.7m)² = 158.95 kg·m²

Conserve momentum: initial L = final L
(151.725 + 239.87)kg·m² * 22rpm = (151.725 + 158.95)kg·m² *
= 27.73 rpm

Hope this helps!

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