A playground merry-go-round has a radius of 3m and a moment of inertia of 1500 kg m^2. 4 kids sit at the outer edge with each kid having a mass of 20 kg, and the merry-go-round spins at 1.75 rad/s. If 2 of the 4 kids move to a position that is 0.3m from the center of the merry-go-round, what is the new rotational speed of the merry-go-round? No energy is lost to friction and the children are point masses.
Find the initial and final moment of inertia of the system and use conservation of angular momentum to find the final angular speed as shown below
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