A large turntable rotates about a fixed vertical axis, Physics

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A large turntable rotates about a fixed vertical axis

A large turntable rotates about a fixed vertical axis, making one revolution in 5.00 s. The moment of inertia of the turntable about this axis is 1300 kg*m2 A child of mass 35.0 kg, initially standing at the center of the turntable, runs out along a radius.

What is the angular speed of the turntable when the child is 2.50 from the center, assuming that you can treat the child as a particle?

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