An interesting phenomenon occuring in certain pulsars is an event known as a \"s

Question

An interesting phenomenon occuring in certain pulsars is an event known as a "spin glitch," that is, a quick change in the spin rate of the pulsar due to a shift in mass location and a resulting rotational change in inertia. Imagine a pulsar whose radius is 9.3 km and whose period of rotation is 25.043 ms. The rotation period is observed to suddenly decrease from 25.043 ms to 25.036 ms. If that decrease was caused by a contraction of the star, by what amount would the pulsar radius have had to shrink? cm

Explanation / Answer

T1=25.043 ms T2=25.036 ms w=2*pi/T w1=250.768 rad/s w2=250.838 rad/s conservation of momentum r1=9.3 km I1*w1=I2*w2 =>r1^2*w1=r2^2*w2 =>r2=9.298 km r1-r2=2*10^-3 km

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