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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