A A pulsar is a rapidly rotating neutron star from which we receive radio pulses

Question

A

A pulsar is a rapidly rotating neutron star from which we receive radio pulses with precise synchronization, there being one pulse for each rotation of the star. The period T of rotation is found by measuring the time between pulses. At present, the pulsar in the central region of the Crab nebula (see Fig. 8-18) has a period of rotation of T = 0.033 s, and this is observed to be increasing at the rate of 1.26 Times 10-5 s/y. What is the pulsar's angular acceleration? If its angular acceleration is constant, how many years from now will the pulsar stop rotating? The pulsar originated in a supernova explosion seen in the year A.D. 1054. What was the initial T for the pulsar? (Assume constant angular acceleration since the pulsar originated.)

Explanation / Answer

?=2?T

Where omega is the angular velocity and T is the period. The angular acceleration is linear, so it is given by

?=???t=2?T+?T?2?Tt

where DeltaT is the change in the period, and t is the time it takes for that change to occur (in years)

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