A 60 kg woman sits halfway between the center and edge of a 1500 kg merry-go-round. The merry-go- round has a radius of 3 m. The merry-go-round is spun up to an angular velocity of 5 rad from an angular velocity of 1 rad over 2s. (a) What is the angular acceleration of the merry-go-round? (b) What is the moment of inertia for the system? (c) What is the torque applied to the merry-go-round? (d) Once the merry-go-round reaches an angular velocity of 5 rad, what is the angular momentum of the system? (e) If a 100 kg man jumps on the merry-go-round and the angular speed of the merry-go-round becomes 4.75 rad. How far from the center of the merry-go-round is the man? S

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A 60 kg woman sits halfway between the center and edge of a 1500 kg merry-go-round. The merry-go-
round has a radius of 3 m. The merry-go-round is spun up to an angular velocity of 5 rad from an angular
velocity of 1 rad over 2s.
(a) What is the angular acceleration of the merry-go-round?
(b) What is the moment of inertia for the system?
(c) What is the torque applied to the merry-go-round?
(d) Once the merry-go-round reaches an angular velocity of 5 rad, what is the angular momentum of
the system?
(e) If a 100 kg man jumps on the merry-go-round and the angular speed of the merry-go-round becomes
4.75 rad. How far from the center of the merry-go-round is the man?
S
Transcribed Image Text:A 60 kg woman sits halfway between the center and edge of a 1500 kg merry-go-round. The merry-go- round has a radius of 3 m. The merry-go-round is spun up to an angular velocity of 5 rad from an angular velocity of 1 rad over 2s. (a) What is the angular acceleration of the merry-go-round? (b) What is the moment of inertia for the system? (c) What is the torque applied to the merry-go-round? (d) Once the merry-go-round reaches an angular velocity of 5 rad, what is the angular momentum of the system? (e) If a 100 kg man jumps on the merry-go-round and the angular speed of the merry-go-round becomes 4.75 rad. How far from the center of the merry-go-round is the man? S
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