A fly of mass 2 g (.002 kg - it\'s a big fly), viewed from above, begins to walk

Question

A fly of mass 2 g (.002 kg - it's a big fly), viewed from above, begins to walk counter-clockwise on a turntable of mass 0.5 kg. The turntable is a uniform cylinder of radius 0.2 m that turns without friction about its center, and the fly is situated half way between the center and the outer radius of the cylinder. The fly and the turntable are initially at rest.

If the fly's speed is .005 m/s in its circular path (relative to the ground), what is the magnitude of the angular velocity of the turntable?

Explanation / Answer

conservation of anglarmomentu of fly and turntable

initial angular momentu = 0

final = mvr+ I*w = .002*0.1*0.005 + (0.5*0.2^2)/2 *w

w = 10^-4 rad/s

angular velocity of turntable 10^-4 rad/s

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