How can I skip class:
2 answers:
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Answer:
The angular velocity is
Explanation:
From the question we are told that
The mass of the child is
The radius of the merry go round is
The moment of inertia of the merry go round is
The angular velocity of the merry-go round is
The position of the child from the center of the merry-go-round is
According to the law of angular momentum conservation
The initial angular momentum = final angular momentum
So
=>
Now is the initial moment of inertia of the system which is mathematically represented as
Where is the initial moment of inertia of the boy which is mathematically evaluated as
substituting values
Thus
Thus
Now
Where is the final moment of inertia of the boy which is mathematically evaluated as
substituting values
Thus
Thus
Hence