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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.) has a period of rotation of T = 0.033 s, and this is observed to be increasing at the rate of 1.26 X 10 -5 sly. (a) Show that the angular speed w of the star is related to the period of rotation by ω = 2π/T. (b) What is the value of the angular acceleration in rad/s 2 ? (c) If its angular acceleration is constant, when will the pulsar stop rotating? (d) The pulsar originated in a supernova explosion in the year A.D. 1054. What was the period of rotation of the pulsar when it was born? (Assume constant angular acceleration.)

5 years ago

Answers : (1)

Deepak Patra
askIITians Faculty
471 Points
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Therefore the pulsar was rotating with the period of 0.024 s in 1054 A.D.
5 years ago
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