Under some circumstances, a star can collapse into an extremely dense object made mostly of neutrons and called a neutron star. the density of a neutron star is roughly 1014 times as great as that of ordinary solid matter. suppose we represent the star as a uniform, solid, rigid sphere, both before and after the collapse. the star's initial radius was 7.0×105 km (comparable to our sun); its final radius is 17 km.

if the original star rotated once in 35 days, find the angular speed of the neutron star.