Problem 3 A child with a mass of 30kg decides to jump onto the edge of a merry-go-round (carousel) that was initially rotating with angular velocity 0.80 rad/s. The merry-go-round has a mass of 500 kg and radius of 3.5 m and can be modelled as a uniform disk. (I = (1/2)MR2) (A) Assume there is no net external torque. The child stands on the ground, faces the center of the merry-go-round, and jumps straight forward onto the edge. What will the angular velocity of the merry-go-round be after the child jumps onto the edge? (B) Now, let’s say the merry-go-round is rusty and, with the child still on the edge, it slows down to rest in 1 minute. What is the net torque?
Problem 3 A child with a mass of 30kg decides to jump onto the edge of a merry-go-round (carousel) that was initially rotating with angular velocity 0.80 rad/s. The merry-go-round has a mass of 500 kg and radius of 3.5 m and can be modelled as a uniform disk. (I = (1/2)MR2) (A) Assume there is no net external torque. The child stands on the ground, faces the center of the merry-go-round, and jumps straight forward onto the edge. What will the angular velocity of the merry-go-round be after the child jumps onto the edge? (B) Now, let’s say the merry-go-round is rusty and, with the child still on the edge, it slows down to rest in 1 minute. What is the net torque?
Problem 3 A child with a mass of 30kg decides to jump onto the edge of a merry-go-round (carousel) that was initially rotating with angular velocity 0.80 rad/s. The merry-go-round has a mass of 500 kg and radius of 3.5 m and can be modelled as a uniform disk. (I = (1/2)MR2) (A) Assume there is no net external torque. The child stands on the ground, faces the center of the merry-go-round, and jumps straight forward onto the edge. What will the angular velocity of the merry-go-round be after the child jumps onto the edge? (B) Now, let’s say the merry-go-round is rusty and, with the child still on the edge, it slows down to rest in 1 minute. What is the net torque?
Problem 3
A child with a mass of 30kg decides to jump onto the edge of a merry-go-round (carousel) that was initially rotating with angular velocity 0.80 rad/s. The merry-go-round has a mass of 500 kg and radius of 3.5 m and can be modelled as a uniform disk. (I = (1/2)MR2)
(A) Assume there is no net external torque. The child stands on the ground, faces the center of the merry-go-round, and jumps straight forward onto the edge. What will the angular velocity of the merry-go-round be after the child jumps onto the edge?
(B) Now, let’s say the merry-go-round is rusty and, with the child still on the edge, it slows
down to rest in 1 minute. What is the net torque?
Definition Definition Rate of change of angular displacement. Angular velocity indicates how fast an object is rotating. It is a vector quantity and has both magnitude and direction. The magnitude of angular velocity is represented by the length of the vector and the direction of angular velocity is represented by the right-hand thumb rule. It is generally represented by ω.
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