angular acceleration?

Question

A pulsar is a fast rotating star that emits a beam that we can observe and use to calculate the rotation period of the pulsar. The Crab nebula pulsar has a period of 0.033 sec and is increasing at a rate of 1.26 x 10-5 sec/year. (a) What is the pulsar’s angular acceleration? (b) Assuming a constant angular acceleration, when the pulsar stop spinning? (c) The pulsar originated in a supernova explosion observed in the year 1054. What was the initial period of the pulsar?

Answer 1

2 pi divided by the period is the angular rate. 2 pi divided by the new frequency after one year is the new angular rate. Change in rate divided by change in time is the angular acceleration.