A solid sphere of radius R rotates about a
diameter with an angular speed . The sphere
then collapses under the action of internal forces
to a final radius of R/4. What is the final angular
speed of the sphere?
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Answer:
Sixteen times the initial angular speed.
Explanation:
Let the initial speed be w and final speed be y. Since the sphere collapses due to action of internal forces,
therefore angular momentum (L) will remain conserved:
L=Iw
for sphere moment of inertia (I) about diameter is 2/5 MR**2
Therefore:
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