1 Three children, Arcelia, Ela, and dhuck, are playing on a merry go-round. Thei

Question

1 Three children, Arcelia, Ela, and dhuck, are playing on a merry go-round. Their positions on the merry go-round are shown in the top-view picture at right. The merry-go round is rotating clockwise and is neither speeding up nor slowing down Hoo A Rank the speeds of the children If all of the children . Aricelis arc moving at the sama spced, state that explicitly Explain your reasoning Chuck Rank the angular velocities o velocity, state that explicitly. B. Explain your reasoning C. Rank the times that it takes each child to complete one revolution. If all of the times are the same, state that explicitly. Explain your reasoning. D. With Aricelia, Bao, and Chuck on the merry-go-round, a fourth child, David, wants to bring the merry-go-round from rest to a rotation rate of I revolution every 4 seconds in as little time as possible. That is,he wants to be able to speed the merry-go-round up from rest as quickly as possible Does it matter where the other three children sit on the merry-go-round? If you were David, where would you ask the other three children to sit? Explain based on the idea of moment of nertia

Explanation / Answer

Here,

part A) as the speed of the childs is given as

V = r * w

r is the distance of child from center

w is the angular speed

as the angular speed of all three is same as the angular speed of the platform.

Now, for the rank

1. Chuck > Brat > Ari

part B)

the angular velocities of all three is same

as the angular speed of all three is same as the angular speed of the platform.
Chuck = Brat = Ari

part c)

as time period = 2pi/w

as w is same for all

the time taken to complete one circle is same for all

Chuck = Brat = Ari

part D)

Yes , it matters where childs are sitting as the moment of inertia of the platform depends on the position of the children.

if the child sits are the center of the merry go round , the moment of inertia will be minimum

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