Question

PartA Constants Suppose a star the size of our Sun, but with mass 9.0 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 12 km, losing three-quarters of its mass in the process, what would its rotation speed be? Assume also that the thrown-off mass carries off either no angular momentum Express your answer using two significant figures. A2c rev/s

Answer 1

(a) We assume that no angular momentum is in the thrown-off mass, so the final angular momentum of the neutron star is equal to the angular momentum before collapse. ag ), = 12 x10m)10 days -( 1346× 109 rev/day) 1day -11.56 × 104 rev/s 86400s (b) Now we assume that the final angular momentum of the neutron star is only ¼ of the angular momentum before collapse. Since the rotation speed is directly proportional to angular momentum, the final rotation speed will be 4 of that found in part (a a, = ¼ ( 1.56 × 104 rev/s) 13893.52 rev/s

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