Suppose a 55 kg person stands at the edge of a 5.5 m diameter merry-go-round turntable that is mounted on frictionless bearings and has a moment of inertia of 1800 kg m2. The turntable is at rest initially, but when the person begins running at a speed of 3.1 m/s (with respect to the turntable) around its edge, the turntable begins to rotate in the opposite direction. Calculate the angular velocity of the turntable. (Assume the person is running in the positive direction.)

I don't know how to calculate the effect of the moment of inertia on the angular velocity. I think you can use energy methods to do it, but I'm not sure how to equate the translational and rotational kinetic energy (or if that's even the way to do it)

Question

Suppose a 55 kg person stands at the edge of a 5.5 m diameter merry-go-round turntable that is mounted on frictionless bearings and has a moment of inertia of 1800 kg m2. The turntable is at rest initially, but when the person begins running at a speed of 3.1 m/s (with respect to the turntable) around its edge, the turntable begins to rotate in the opposite direction. Calculate the angular velocity of the turntable. (Assume the person is running in the positive direction.)

I don't know how to calculate the effect of the moment of inertia on the angular velocity. I think you can use energy methods to do it, but I'm not sure how to equate the translational and rotational kinetic energy (or if that's even the way to do it)