Assume that a star the size of our Sun, however of mass 8.0 times as great, were rotating at a speed of 1.0 revolution each and every 11 days. When it was to undergo gravitational collapse to a neutron star of radius 13 km, losing 3/4 of its mass in the process, determine what would its rotation speed be? Suppose that the star is a uniform sphere at all times.
(i) Suppose that the thrown-off mass carries off no angular momentum,
(ii) Suppose that the thrown-off mass carries off its proportional share (3/4) of the initial angular momentum.