Question
A child of mass 50 kg is standing on the edge of a merry go round of mass 250 kg and radius 3.0 m which is rotating with an angular velocity of 3.0 rad s−1. The child then starts walking towards the centre of the merry go round. What will be the final angular velocity of the merry go round when the child reaches the centre?
Answer :
Word Count : 146
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We apply conservation of angular momentum (there are no net external torques on the system of merry - go
- round and child). Thus we have
where I: rotational inertia, ω: angular velocity. The final angular velocity will be
so
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