SP3. In the park, several children with a total mass of 240 kg are riding on a merry-go-round that has a rotational inertia of 1500 kg-m² and a radius of 2.2 m. The average distance of the children from the axle of the merry-go-round is 2.0 m initially, since they are all riding near the edge.

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Chapter1: Units, Trigonometry. And Vectors
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SP3. In the park, several children with a total mass of 240 kg are
riding on a merry-go-round that has a rotational inertia of
1500 kg-m² and a radius of 2.2 m. The average distance of
the children from the axle of the merry-go-round is 2.0 m
initially, since they are all riding near the edge.
Transcribed Image Text:SP3. In the park, several children with a total mass of 240 kg are riding on a merry-go-round that has a rotational inertia of 1500 kg-m² and a radius of 2.2 m. The average distance of the children from the axle of the merry-go-round is 2.0 m initially, since they are all riding near the edge.
a. What is the rotational inertia of the children about the
axle of the merry-go-round? What is the total rotational
inertia of the children and the merry-go-round?
b. The children now move inward toward the center of the
merry-go-round so that their average distance from the
axle is 0.5 m. What is the new rotational inertia for the
system?
c. If the initial rotational velocity of the merry-go-round
was 1.2 rad/s, what is the rotational velocity after the
children move in toward the center, assuming that the
frictional torque can be ignored? (Use conservation of
angular momentum.)
d. Is the merry-go-round rotationally accelerated during
this process? If so, where does the accelerating torque
come from?
Transcribed Image Text:a. What is the rotational inertia of the children about the axle of the merry-go-round? What is the total rotational inertia of the children and the merry-go-round? b. The children now move inward toward the center of the merry-go-round so that their average distance from the axle is 0.5 m. What is the new rotational inertia for the system? c. If the initial rotational velocity of the merry-go-round was 1.2 rad/s, what is the rotational velocity after the children move in toward the center, assuming that the frictional torque can be ignored? (Use conservation of angular momentum.) d. Is the merry-go-round rotationally accelerated during this process? If so, where does the accelerating torque come from?
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