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A neutron star with a radius of 47.1 km is rotating with a period of 8.66 ms?

A neutron star with a radius of 47.1 km is rotating with a period of 8.66 ms.  The neutron star collapses radially under its own weight until it reaches a new radius of 18.3 km.  

You can approximate the neutron star as a uniform solid sphere with a shrinking radius and a constant mass during this process. 

What is the v/c = the ratio of the tangential speed on the equator of the neutron star to the speed of light? 

Use c = 3.00x108 m/s and assume 3 significant digits in your answer. 

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