A star can be modeled as a uniform sphere of radius 200,000 kilometers, which is rotating with an angular velocity of 10^-6 radians per second. This star collapses to form a neutron star, which can be modeled as a rotating uniform sphere of radius 10 kilometers. Assuming none of the original star's mass was lost in the collapse, what is the angular velocity of the resulting neutron star in radians per second?