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Suppose a child walks from the outer edge of a rotating
Chapter 10, Problem 14(choose chapter or problem)
Problem 14CQ
Suppose a child walks from the outer edge of a rotating merry-go round to the inside. Does the angular velocity of the merrygo-round increase, decrease, or remain the same? Explain your answer.
Questions & Answers
QUESTION:
Problem 14CQ
Suppose a child walks from the outer edge of a rotating merry-go round to the inside. Does the angular velocity of the merrygo-round increase, decrease, or remain the same? Explain your answer.
ANSWER:
Solution 14CQ:
Step 1 of 3:-
The rotating merry-go round with a child standing on it has a moment of inertia let’s say .
The moment of inertia is defined as,
.
The child is standing at the edge of it so, the is high.
When the child starts walking towards the centre, the value of decreases and so the value of moment of inertia.
The new moment of inertia while the child is near the centre let’s say, .