A pulsar is a rapidly rotating neutron star. The Crab Pulsar is located in the Crab Nebula in the constellation Taurus. The pulsar is in the center of the close-up view of the nebula shown in the photograph. The periods of pulsars can be measured with great accuracy: The Crab Pulsar has a period of 0.033 s.
(a) Find the pulsar's angular velocity.
(b) The radius of the pulsar is estimated to be 10 km. Find the tangential velocity of a point on its equator.