During most of its lifetime, a star maintains an equilibrium size in which the i

Question

During most of its lifetime, a star maintains an equilibrium size in which the inward force of gravity on each atom is balanced by an outward pressure force due to the heat of the nuclear reactions in the core. But after all the hydrogen "fuel" isconsumed by nuclear fusion, the pressure force drops and the star undergoes a gravitational collapse until it becomes a neutron star. In a neutron star, the electrons and protonsof the atoms are squeezed together by gravity until they fuse into neutrons. Neutron stars spin very rapidly and emit intense pulsesof radio and light waves, one pulse per rotation. These "pulsing stars" were discovered in the 1960s and are called pulsars. Question 1: A star with themass (M=2.0 X 1030 kg) and size (R= 3.5 X108m) of our sun rotates once every 32.0 days. After undergoinggravitational collapse, the star forms a pulsar that is observed byastronomers to emit radio pulses every 0.200 s. By treating the neutron staras a solid sphere, deduce its radius. Question 2: What is thespeed of a point on the equator of the neutron star? Your answerwill be somewhat too large because a star cannot be accurately modeled as a solid sphere. During most of its lifetime, a star maintains an equilibrium size in which the inward force of gravity on each atom is balanced by an outward pressure force due to the heat of the nuclear reactions in the core. But after all the hydrogen "fuel" isconsumed by nuclear fusion, the pressure force drops and the star undergoes a gravitational collapse until it becomes a neutron star. In a neutron star, the electrons and protonsof the atoms are squeezed together by gravity until they fuse into neutrons. Neutron stars spin very rapidly and emit intense pulsesof radio and light waves, one pulse per rotation. These "pulsing stars" were discovered in the 1960s and are called pulsars. Question 1: A star with themass (M=2.0 X 1030 kg) and size (R= 3.5 X108m) of our sun rotates once every 32.0 days. After undergoinggravitational collapse, the star forms a pulsar that is observed byastronomers to emit radio pulses every 0.200 s. By treating the neutron staras a solid sphere, deduce its radius. Question 2: What is thespeed of a point on the equator of the neutron star? Your answerwill be somewhat too large because a star cannot be accurately modeled as a solid sphere. Question 1: A star with themass (M=2.0 X 1030 kg) and size (R= 3.5 X108m) of our sun rotates once every 32.0 days. After undergoinggravitational collapse, the star forms a pulsar that is observed byastronomers to emit radio pulses every 0.200 s. By treating the neutron staras a solid sphere, deduce its radius. Question 2: What is thespeed of a point on the equator of the neutron star? Your answerwill be somewhat too large because a star cannot be accurately modeled as a solid sphere.

Explanation / Answer

1) L? = I??? = I? = L
L? = [(2/5)mR?

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