A playground carousel is a circular platform that can rotate about an axis perpe

Question

A playground carousel is a circular platform that can rotate about an axis perpendicular to the plane of the platform at its center. It behaves approximately as an inertial reference frame. An observer is looking down at this platform from an inertial reference frame directly above the rotational axis. Three clocks are attached to the platform. Clock A is attached directly to the axis. Clock B is attached to a point midway between the axis and the outer edge of the platform. Clock C is attached to the outer edge of the platform. Rank the clocks according to how slow the observer finds them to be running (slowest first).

A) B, A, C

B) A, C, B

C) A, B, C

D) C, B, A

Explanation / Answer

All Clocks have the same angular velocity, but the tangencial velocity depends on the radius V=w*r

clock A V=0 due to the radiuos is at the center (r=0)

clock B V=(1/2)W*R

clock C V=W*R

so, A is the slowest and C the faster

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