The moment of inertia depends on the mass and also on where the mass is located. The granite ball in the photo has a mass of 8200 kg. It's also physically large, with much of the mass far from the center. For both of these reasons, the moment of inertia is extremely large. The sphere can freely spin on a thin layer of pressurized water. Even though the girl exerts a large torque, the extremely large moment of inertia means that the angular acceleration is very small.
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The photograph shows a girl pushing on a large stone sphere. The sphere has a mass of 8200 kg and a radius of 90 cm. Suppose that she pushes on the sphere tangent to its surface with a steady force of 50 N and that the pressured water provides a frictionless support. How long will it take her to rotate the sphere one time, starting from rest?
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