Neutron Star Glitches 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 "'0 = 70.4 rad/s underwent such a glitch in October 1975 that increased its angular speed to '" = "'0 + /1"" where /1",1"'0 = 2.01 X 10-6• If the radius of the neutron star before the glitch was 11 km, by how much did its radius decrease in the star quake? Assume that the neutron star is a uniform sphere.