Neutron Star Glitches.? Occasionally, a rotating neutron star (see Exercise 10.41) 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 + ??, where ??/?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 starquake? Assume that the neutron star is a uniform sphere.
Solution 94P Step 1: Given data: Neutron star with angular speed w = 70.4 rad/s 0 6 Increased angular speed w /w0= 0.01 × 10 Radius of neutron star before glitch R 1 11 Km Radius decrease after starquake R = R 2