Suppose a star the size of our Sun, but with mass 7.0 times as great, were rotat

Question

Suppose a star the size of our Sun, but with mass 7.0 times as great, were rotating at a speed of 1.0 revolution every 8.0 days.
If it were to undergo gravitational collapse to a neutron star of radius 13km , losing three-quarters of its mass in the process, what would its rotation speed be? Assume that the star is a uniform sphere at all times, and that the lost mass carries off no angular momentum. Suppose a star the size of our Sun, but with mass 7.0 times as great, were rotating at a speed of 1.0 revolution every 8.0 days.
If it were to undergo gravitational collapse to a neutron star of radius 13km , losing three-quarters of its mass in the process, what would its rotation speed be? Assume that the star is a uniform sphere at all times, and that the lost mass carries off no angular momentum.

Explanation / Answer

using angular momentum conservation => the moment of inertia of uniform sphere is prop. to M and R^2

=> 7M (695500)^2 *(1/8) = 7M/4 * (13) (1/x) => x = 26/(695500)^2 = 5.37*10^-11 days

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