-round in the shape of a uniform, solid, horizontal disk of radius 1.50 m is set in motion by wrapping a rope about the rim of the disk and pulling on the rope. What constant force would have to be exerted on the rope to bring the merry-go-round from rest to an angular speed of 0.600 rew/s in 2.00 s? (State the magnitude of the force.)

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A 245-kg merry-go-round in the shape of a uniform, solid, horizontal disk of radius 1.50 m is set in motion by wrapping a rope about the rim of the disk and pulling on the rope. What constant force would have to be exerted on the rope to bring the merry-go-round from rest to an angular speed of 0.600 rev/s in 2.00 s? (State the magnitude of the force.)
A torque of 37.1 N. m is applied to an initially motionless wheel which rotates around a fixed axis. This torque is the result of a directed force combined with a friction force. As a result of the applied torque the angular speed of the wheel increases from 0 to 9.9 rad/s. After 5.80 s the directed force is removed, and the wheel comes to rest 59.4 s later.
(a) What is the wheel's moment
inertia (in kg · m?
kg · m2
(b) What is the magnitude of the torque caused by friction (in N. m)?
N. m
(c) From the time the directed force is initially applied, how many revolutions does the wheel go through?
revolutions
Transcribed Image Text:A 245-kg merry-go-round in the shape of a uniform, solid, horizontal disk of radius 1.50 m is set in motion by wrapping a rope about the rim of the disk and pulling on the rope. What constant force would have to be exerted on the rope to bring the merry-go-round from rest to an angular speed of 0.600 rev/s in 2.00 s? (State the magnitude of the force.) A torque of 37.1 N. m is applied to an initially motionless wheel which rotates around a fixed axis. This torque is the result of a directed force combined with a friction force. As a result of the applied torque the angular speed of the wheel increases from 0 to 9.9 rad/s. After 5.80 s the directed force is removed, and the wheel comes to rest 59.4 s later. (a) What is the wheel's moment inertia (in kg · m? kg · m2 (b) What is the magnitude of the torque caused by friction (in N. m)? N. m (c) From the time the directed force is initially applied, how many revolutions does the wheel go through? revolutions
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