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Suppose a star the size of our Sun (r=7.0*105 km), but with mass 6.0 times as...

Suppose a star the size of our Sun (r=7.0*105 km), but with mass 6.0 times as great, were rotating at a speed of 1.0 revolution every 10 days. If it were to undergo gravitational collapse to a neutron star of radius 10 km, losing 2/3 of its mass in the process, what would its rotation period be in μs? Assume the star is a uniform sphere at all times. Assume also that the thrown-off mass carries off no angular momentum. Note. The moment of inertia of uniform (solid) sphere is given by I=2mr2/5, where m is the mass of the sphere and r is the sphere radius. (1 μs = 10-6s).

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