A massive star is spinning about its diameter with an angular speed `omega_(0) = (pi)/(1000)` rad/day. After its fuel is exhausted, the star collapses under its own gravity to form a neutron star. Assume that the volume of the star decreases to `10^(-12)` times the original volume and its shape remains spherical. Assuming that density of the star is uniform, find the angular speed of the neutron star.