The Crab Pulsar Winds Down. Theoretical models indicate that the age of a pulsar is about p/(2r), where p is the pulsar’s period, and r is the rate that the pulsar slows with time. The pulsar in the Crab Nebula is pulsing 30 times a second (so p = 0.0333 seconds).

Observations of the pulsar in the Crab Nebula show that it pulses 3 0 times a second, so that p = 0. 0 3 3 3 second, but the time interval between pulses is growing longer by 4. 2 × 1 0-1 3 second with each passing second, so that r = 4. 2 × 1 0-1 3 second per second. Using that information, estimate the age of the Crab pulsar.

Assume that the pulsar is a rotating sphere of uniform density with an initial radius of 10 During a glitch, the period of the Crab pulsar decreased by . If the increased rotation was due to an overall contraction of the neutron star, find the change in the star's radius.

Question: (a) The rotational spin-down luminosity of the Crab pulsar is Lsd 3 x 1038 erg/s. Knowing that the current period of the pulsar is 33 ms, and its period derivative is P = 4 x 10-13, estimate (within the rotating dipole model) the rotational energy lost by the Crab pulsar during its life- time, assuming that Led stayed constant.

Observations of the pulsar in the Crab Nebula show that it pulses 30 times a second, but the time interval between pulses is growing longer by 4.2 × Theoretical models of the slowing of pulsars predict that the age of a pulsar is approximately equal to p/2r, where p is the pulsar’s current period and r is the rate at which the period is ...

The Crab pulsar / neutron star spins with a frequency of 3 0 Hz and has a "spindown rate of \ ( | \ mathrm {dT} / \ mathrm {dt} | = 4. 2 0 9 7 2 \ mathrm {E}-1 3 \), where T is the period of the pulsar's rotation, i. e. the pulsar slows down. Estimate the maximum magnetic field strength B at the neutron star's surface by assuming ...

Question: + The Crab Pulsar is a neutron star, rotating with a period of about 33.085 ms. It is estimated to have an equatorial radius of 15 km. about average for a neutron star The pulsar is slowing in its rotation so that it is expected to come to rest 9.5 * 1010 s in the future.

The Crab Pulsar has a period of 33.085 ms. It is estimated to have a radius of 15 km, an average radius for a neutron star. (a) What is the value of the centripetal acceleration for an object on the surface of the pulsar? (Express in number of g’s.) (b) The Crab Pulsar’s period is slowing down by a rate of 3.5 × 10−13 s per second.

2) Taking the distance to the Crab pulsar to be 2000 pc and the bolometric magnitude at maximum brightness of the respective type Il supernovae explosion to be Mbol=-17, estimate the peak apparent magnitude. Compare this to the maximum brightness of Venus (m--4), which can sometimes be seen during daytime.

A pulsar is a rapidly rotating neutron star. The Crab nebula pulsar in the constellation Taurus has a period of 33.5×10−3 s, radius 10 km. And suppose its mass is 2×1030 kg. The pulsar's rotational period will increase over time due to the release of electromagnetic radiation, which doesn't change its radius but reduces its rotational ...