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Rate of Rotation of a Collapsed Star

A star rotates about its axis through a diameter once in 50 days. At the end of its life the star collapses to one hundredth of its orginal diameter. What will the rate of rotation of the collapsed star be?

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The principle used:
The kinetic energy of the rotation is conserved

The kinetic energy of rotation with moment of inertia I and angular velocity w is:

E = 1/2 * I * ...

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Rate of rotation of a collapsed star