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Question 1. Two children are riding on a merry-go-round. Child A is at a greater

ID: 1444724 • Letter: Q

Question

Question 1. Two children are riding on a merry-go-round. Child A is at a greater distance from the axis of rotation than child B. Which child has the larger angular speed?

A) Child A , B) Child B , C) They have the same angular speed. , D) There is not enough information given to answer the question.

Question2 . On a certain game show, contestants spin a wheel when it is their turn. One contestant gives the wheel an initial angular speed of 4.00 rad/s. The wheel slows down with an angular acceleration of -0.500 rad/s2. How much time does it take the wheel to reach an angular speed of 2.50 rad/s?

Explanation / Answer

1)C) They have the same angular speed.

They have the same angular velocity. They wipe out the same angle of a "pie slice" area, so it's the same, even though child A will cover a greater distance around the ride than child B

2) acceleration is constant in this and angular acceleration =( change in angular velocity)/time taken

so,

Time = (w2- w1)/acceleration

time = (2.50-4.0)/(-0.5) =-1.5/0.5 =3 seconds

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