Pulsars are neutron stars that emit X rays and other radiation insuch a way that we on Earth receive pulses of radiation from thepulsars at regular intervals equal to the period that they rotate.Some of these pulsars rotate with periods as short as 1 ms! TheCrab Pulsar, located inside the Crab Nebula in the constellationOrion, has a period currently of length 33.085 ms. It is estimatedto have an equatorial radius of 15 km, an average radius for aneutron star.

(a) What is the value of the centripetalacceleration of an object on the surface at the equator of thepulsar?
(b) Many pulsars are observed to have periodsthat lengthen slightly with time, a phenomenon called "spin down."The rate of slowing of the Crab Pulsar is 3.50*10-¹³ s per second, which implies that if thisrate remains constant, the Crab Pulsar will stop spinning in9.50*10¹⁰ s (about 3000 years from today). What is thetangential acceleration of an object on the equator of this neutronstar?