Question

A pulsar is a rapidly rotating neutron star that emits radio
pulses with precise synchronization, there being one such 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 has a period of rotation of T =
0.16000000 *s*, and this is observed to be increasing at the
rate of 0.00000943 s/y. What is the angular velocity of the
star?

39.27 rad/s

b)What is the angular acceleration of the pulsar?

-7.334*10^-11 rad/s^2

c)If its angular acceleration is constant, in how many years will the pulsar stop rotating?

d)The pulsar originated in a super-nova explosion in the year A.D. 1054. What was the period of rotation of the pulsar when it was born?

I need c, d please show all the work from where you get the numbers al please the formulas i need them for my exam.

Answer #1

A pulsar is a rapidly rotating neutron star that emits a radio
beam the way a lighthouse emits a light beam. We receive a radio
pulse for each rotation of the star. The period T of
rotation is found by measuring the time between pulses. Suppose a
pulsar has a period of rotation of T = 0.0833 s that is
increasing at the rate of 1.89 x 10-6 s/y.
(a) What is the pulsar's angular acceleration α?
(b) If α...

The neutron star at the center of the Crab Nebula rotates with a
period of 0.033 seconds, which is increasing at a rate of 1.26 x
10-5 s/yr.
a) (1 pt) Calculate its angular acceleration.
b) (1 pt) Assuming constant acceleration, how many years will
pass from now until it stops spinning?

Occasionally, a rotating neutron star undergoes a sudden and
unexpected speedup called a glitch. One explanation is that a
glitch occurs when the crust of the neutron star settles slightly,
decreasing the moment of inertia about the rotation axis. A neutron
star with angular speed v = 70.4 rad/s underwent such a glitch in
October 1975 that increased its angular speed to w = w0
+ ?w, where ?w/w0 = 2.01 x 10-6 . What is the
moment of inertia...

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