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A child is standing on the edge of a mer...

A child is standing on the edge of a merry-go-round that has the shape of a disk, as shown in the figure. The mass of the child is 40 kg. The merry-go-round has a mass of 200kg and a radius of 2.5 m, and it is rotating with an angular velocity of `omega=2.0` radians per second. The child then walks slowly 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? (The size of the child can be neglected)

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