5. +-1 points Giancol6BP067 My Notes Ask Your Teacher Suppose a 55 kg person sta

Question

5. +-1 points Giancol6BP067 My Notes Ask Your Teacher Suppose a 55 kg person stands at the edge of a 7.5 m diameter merry-go- round turntable that is mounted on frictionless bearings and has a moment of inertia of 1700 kg-m2. The turntable is at rest initially, but when the person begins running at a speed of 3.9 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.) rad/s

Explanation / Answer

angular momentum is conserved.

initial angular momentum = final

0 = i w + m r (v+wr)

0 = 1700*w + 55*7.5/2 *3.9 +55*(7.5/2)^2 w

w = -[55*7.5/2 *3.9]/(1700+55*(7.5/2)^2)

= -0.3252 rad/s

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