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5)Four children are sitting on a merry-go-round at different distances from the center (axis of rotation) indicated as A, B, C, and D locations with A being the closest to the center.  Choose all the correct statements from the list below. A.For every rotation, the distance traveled by a child is 2πR, where R is the distance from the center. B.All children have a centripetal acceleration pointing towards the center. C.Child A is moving the fastest. D.All children have the same period, T. E.All children have a different angular velocity based on their distance from the center. F.All children have the same angular speed regardless of their distance from the center. G.Child D is moving the fastest tangentially since he/she is the farthest from the center.

Question

5)

Four children are sitting on a merry-go-round at different distances from the center (axis of rotation) indicated as A, B, C, and D locations with A being the closest to the center.  Choose all the correct statements from the list below.

  A.

For every rotation, the distance traveled by a child is 2πR, where R is the distance from the center.

  B.

All children have a centripetal acceleration pointing towards the center.

  C.

Child A is moving the fastest.

  D.

All children have the same period, T.

  E.

All children have a different angular velocity based on their distance from the center.

  F.

All children have the same angular speed regardless of their distance from the center.

  G.

Child D is moving the fastest tangentially since he/she is the farthest from the center.

check_circleAnswer
Step 1

A) correct
Since all the points are moving circular path , distance travelled is 2(pi)R.
B) correct
In order to make an object move in a circular path we apply centripetal force and the bodies will experience centripetal acceleration.
Direction of centripetal acceleration is towards centre of rotation.
C) Wrong Statement
Child A is close to the centre , since radius of rotation is less , velocity of child A will be less.
Velocity (v) = (radius)*(Angular Velocity)

Step 2

D) Correct
All the children will ...

2TT
T
1
Since angular velocity is same for all the children, time period is same
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2TT T 1 Since angular velocity is same for all the children, time period is same

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Angular Motion

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