Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

The core of a star collapses during a supernova, forming a neutron star. Angular momentum of the core is conserved, and so the neutron star spins rapidly. If the initial core radius is $5.0 \times 10^{5} \mathrm{km}$ and it collapses to $10.0 \mathrm{km},$ find the neutron star's angular velocity in revolutions per second, given the core's angular velocity was originally 1 revolution per 30.0 days.

965 $\mathrm{rev} / \mathrm{s}$

Physics 103

Chapter 34

Frontiers of Physics

Wave Optics

Particle Physics

Cornell University

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

University of Winnipeg

Lectures

02:51

In physics, wave optics is…

10:02

Interference is a phenomen…

03:52

The core of a star collaps…

06:08

Use conservation of angula…

02:40

Under some circumstances, …

05:09

02:43

\bullet Under some circums…

07:19

$\bullet$ Neutron stars ar…

03:54

Neutron stars are extremel…

01:57

04:41

A certain pulsar, believed…

02:00

A pulsar is a rapidly rota…

02:16

When some stars use up the…

02:17

A neutron star of mass $2 …

03:24

A neutron star has a mass …

04:40

Suppose a star the size of…

07:30

04:28

A neutron star is an extre…

01:38

Certain neutron stars (ext…

09:57

02:37

When a large star becomes …

01:44

A typical neutron star may…

the initial period of the star T survives 30 days. The initial radius R survives five times, and if it's kilometers and the final radius is arse about 10 kilometers, we're told that the angular momentum is conserved. So, Elsa, by equals else of death, where angular momentum l is equal to the moment of inertia I times the angular frequency omega ah, angular frequency is equal to two pi times the velocity. So this is I times two Pi vi. The velocity is equal to one over the periods. This is I times two pi attempt one over tea. So you to further simplify this moment of inertia, I is proportional to me, uh, radius value r squared. The reason that it matters, it is proportional as everything else is a constant. So when we take the ratio, it's gonna divide out. So what we have is we have using this. We're gonna replace it by the expression for, uh, they are angry. Momentum's this is I initial times make it a Omega initial is equal to I Final times Omega final from Omega. We can replace it with two pi um, over tea and I we could replace it with our our value. So what we have here is our initial squared times one over the initial period is equal to our final squared times one over the final period. So we know everything in this equation except for the final period, which is what we want to find So solving for this, we find the final period T sabbeth is equal to or Survivor are so death these quantities squared or excuse me. I got that backwards solving for TCF. This would be our Sabbeth divided by r. So by squared times, t's, I or I was won over t survive? No. At times, he said, by So another way of writing this because what we want to find is the final angular velocity. Because we can go back to our equation from glossy, which says period is one over velocity. So we can say that Visa Beth is equal to one over this value. All that quantity squared times t survive. Okay, so carrying out this operation, we find that this is equal to 965 revolutions per second for angular velocity weaken box that in

View More Answers From This Book

Find Another Textbook

In physics, wave optics is the study of the behavior of light, or other elec…

Interference is a phenomenon in which two waves superpose to form a resultan…

01:32

$\alpha$ decay of $^{218} \mathrm{Po}$ , the isotope of polonium in the deca…

Confirm that charge, electron family number, and the total number of nucleon…

01:35

What is the dose in mSv for: (a) a 0.1 Gy x-ray? (b) 2.5 mGy of neutron expo…

02:57

Integrated ConceptsA $160-\mu F$ capacitor charged to 450$\vee$ is disch…

00:37

The electric and magnetic forces on an electron in the CRT in Figure 30.7 ar…

06:17

What is the smallest-wavelength line in the Balmer series? Is it in the visi…

02:23

A 2.00-T magnetic field is applied perpendicular to the path of charged part…

02:47

If an atom has an electron in the $n=5$ state with $m_{l}=3,$ what are the p…

00:44

33. 4 Particles, Patterns, and Conservation LawsThe $\pi^{0}$ is its own…

01:02

(a) What is the uncertainty in the energy released in the decay of a $\tau^{…