(a) Explain the angular momentum with an appropriate diagram, and show that the

Question

(a) Explain the angular momentum with an appropriate diagram, and show that the magnitude of the angular momentum can be expressed as a product of moment of inertia and angular speed. (b) Suppose that an Olympic ice skater sets herself m rotation with an initial angular speed of 7.5 rad/sec, with the masses of her hands and leg outstretched when her moment of inertia is 40.25 kg.m^2. As she rotates, she pulls her hands and leg inward so that the new moment of inertia becomes 28.5 kg.m^2. What is her new angular speed?

Explanation / Answer

b)

here ,

for initial angular speed , wi = 7.5 rad/s

Initial moment of inertia , I1 = 40.25 Kg.m^2

final momoent of inertia , I2 = 28.5 Kg.m^2

using conservation of angular momentum ,

I1 * wi = I2 * wf

40.25 * 7.5 = 28.5 * wf

wf = 10.6 rad/s

the new angular speed is 10.6 rad/s

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