A pulsar is a rapidly rotating neutron star that emits radio pulses, one such pulse for each rotation of the star. The period T of rotation is the time for one rotation. It is found by measuring the time between pulses. At present, the pulsar in the central region of the Crab nebula 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 s/y. What is the value of the angular acceleration in rad/s2? 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 T of the pulsar when it was born? (Assume constant angular acceleration since then.)

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A pulsar is a rapidly rotating neutron star that emits radio pulses, one such pulse for each rotation of the star. The period T of rotation is the time for one rotation. It is found by measuring the time between pulses. At present, the pulsar in the central region of the Crab nebula 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 s/y.

  1. What is the value of the angular acceleration in rad/s2?
  2. If its angular acceleration is constant, how many years from now will the pulsar stop rotating?
  3. The pulsar originated in a supernova explosion seen in the year A.D. 1054. What was T of the pulsar when it was born? (Assume constant angular acceleration since then.)
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