Under some circumstances, a star can collapse into an extremely dense object mad

Question

Under some circumstances, a star can collapse into an extremely dense object made mostly of neutrons and called a neutron star. The density of a neutron star is roughly 10^4 times as great as that of ordinary solid matter. Suppose we represent the star as a uniform, solid, rigid sphere, both before and after the collapse. The star's initial radius was 7.0×10^5 km (comparable to our sun); its final radius is 16 km.
If the original star rotated once in 33 days, find the angular speed of the neutron star.

Explanation / Answer

Ii = ½ M Ri2
If = ½ M Rf2

wi = 2p /Ti

Li = Lf

Ii wi = If wf

wf = Ii wi / If

wf = (½ M Ri2) wi /( ½ M Ri2) = (Ri /Rf)2 (2p /Ti)

now just put the value and you will get the answer

and convert 33 days into seconds to get ans in rev/sec

thnks hope you could do it..!!

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