A large turntable rotates about a fixed vertical axis, making one revolution in 7.00 s . The moment of inertia of the turntable about this axis is 1300 kg·m2. A child of mass 40.0 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 m from the center, assuming that you can treat the child as a particle?