Occasionally, a rotating neutron star (see Exercise 10.39) undergoes a sudden an

Question

Occasionally, a rotating neutron star (see Exercise 10.39) undergoes a sudden and unexpected speedup called a glitch. One explanation is that a glitch occurs when the crust of the neutron star settles slightly, decreasing the moment of inertia about the rotation axis. A neutron star with angular speed underwent such a glitch in October 1975 that increased its angular speed to , where (change in angular velocity/initial angular velocity = 2.01x10^6.

If the radius of the neutron star before the glitch was 11 , by how much did its radius decrease in the starquake? Assume that the neutron star is a uniform sphere.

Explanation / Answer

conservation of angular momentum : i00= R2

R02=( R0+R)2(0+)

R02+2R0(R0)+ R02 ()

R=-(R0/2)(/0)==-1.1CM

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