When some stars use up their fuel, they undergo a catastrophic explosion called a supernova. This explosion blows much or all of a star's mass outward, in the form of a rapidly expanding spherical shell. As a simple model of the supernova process, assume that the star is a solid sphere of radius R that is initially rotating at 2.3 revolutions per day. After the star explodes, find the angular velocity, in revolutions per day, of the expanding supernova shell when its radius is 3.3R. Assume that all of the star's original mass is contained in the shell. @0f

When some stars use up their fuel, they undergo a catastrophic explosion called a supernova. This explosion blows much or all of a star's mass outward, in the form of a rapidly expanding spherical shell. As a simple model of the supernova process, assume that the star is a solid sphere of radius R that is initially rotating at 2.3 revolutions per day. After the star explodes, find the angular velocity, in revolutions per day, of the expanding supernova shell when its radius is 3.3R. Assume that all of the star's original mass is contained in the shell. @0f

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Suppose a star has a mass three times that of our sun (that is, the star's mass will be 6 x 1030 kg) and starts out as a sphere with an initial radius several times larger than our sun (3.48 x10° m). It is initially spinning with one revolution every 12 days. What is its angular momentum, in kg m2/s?
Modern wind turbines generate electricity from wind power. The large, massive blades have a large moment of inertia and carry a great amount of angular momentum when rotating. A wind turbine has a total of 3 blades. Each blade has a mass of m = 5500 kg distributed uniformly along its length and extends a distance r = 44 m from the center of rotation. The turbine rotates with a frequency of f = 15 rpm. Calculate the angular momentum of the wind turbine, in units of kilogram meters squared per second.
Three children are riding on the edge of a merry-go-round that is a disk of mass 98 kg, radius 1.7 m, and is spinning at 19 rpm. The children have masses of 21.6 kg, 27.6 kg, and 35 kg.M = 98 kgm1 = 21.6 kgm2 = 27.6 kgm3 = 35 kgr = 1.7 mf = 19 rpm If the child who has a mass of 27.6 kg moves to the center of the merry-go-round, what is the new magnitude of angular velocity in rpm? f' =
A 1.7 m wide door (mass 4.0 kg) is hinged at one side so that it can rotate without friction about a vertical axis. It is unlatched. A police officer fires a bullet with a mass of 80 g and a speed of 450 m/s into the edge of the door, in a direction perpendicular to the plane of the door. Find the angular speed of the door just after the collision if the bullet embeds itself in the door. The moment of inertia of a door rotating about its edge is equal to MW2 where M is the mass of the door and W is its width. Before After W W W W
A 3.8-mm-diameter merry-go-round is rotating freely with an angular velocity of 0.80 rad/s. Its total moment of inertia is 1300 kg⋅m2. Four people standing on the ground, each of mass 61 kg, suddenly step onto the edge of the merry-go-round. What is the angular velocity of the merry-go-round now? What if the people were on it initially and then jumped off in a radial direction (relative to the merry-go-round)?
Starting from rest, a 12-cm-diameter compact disk takes 2.8 s to reach its operating angular velocity of 1800 rpm . Assume that the angular acceleration is constant. The disk's moment of inertia is 2.5×10−5kgm^2. How much torque is applied to the disk? How many revolutions does it make before reaching full speed?
A woman with mass 50 kg is standing on the rim of a large horizontal disk that is rotating at 0.80 rev/s about an axis through its center. The disk has mass 110 kg and radius 4.1 m. Calculate the magnitude of the total angular momentum of the woman–disk system. (Assume that you can treat the woman as a point.)
A carousel has a radius of 1.70 m and a moment of inertia of 122 kg - m². A girl of mass 43.5 kg is standing at the edge of the carousel, which is rotating with an angular speed of 3.20 rad/s. Now the girl walks toward the center of the carousel and stops at a certain distance from the center d. The angular speed of the carousel is now 5.0 rad/s. How far from the center, in meters, did the girl stop? m
A pulsar is a rapidly rotating neutron star. The Crab nebula pulsar in the constellation Taurus has a period of 33.5×10−333.5×10^-3 s, radius 10 km. And suppose its mass is 2.1×10302.1×10^30 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 energy. A. What is the angular momentum of the pulsar? Give your answer in the scientific notation, in the normalized form. L = x 10 js B. Suppose the angular velocity decreases at a rate of 4.7×10−144.7×10-14 rad/s2. What is the magnitude of the torque on the pulsar? Give your answer in the scientific notation, in the normalized form. Tnet = x 10 N m
A uniform thin rod of length 0.73 m and mass 3.0 kg can rotate in a horizontal plane about a vertical axis through its center. The rod is at rest when a 4.4 g bullet traveling in the rotation plane is fired into one end of the rod. As viewed from above, the bullet's path makes angle 0 = 60° with the rod. If the bullet lodges in the rod and the angular velocity of the rod is 11.0 rad/s immediately after the collision, what is the bullet's speed just before impact? Ахis Number Units
A 26 g block sits at the center of a turntable that rotates at 50 rpm. A compressed spring shoots the block radially outward from the center along a frictionless groove in the surface of the turntable. Calculate the turntable's angular speed when the block reaches the outer edge. Treat the turntable as a solid disk with mass with mass 200 g and diameter 30.0 cm. Express your answer in revolutions per minute.
A uniform disk of mass 2.00m and radius 6.00r can rotate freely about its fixed center like a merry-go-round. A smaller uniform disk of mass mand radius r lies on top of the larger disk, concentric with it. Initially the two disks rotate together with an angular velocity of 26.6 rad/s. Then a slight disturbance causes the smaller disk to slide outward across the larger disk, until the outer edge of the smaller disk catches on the outer edge of the larger disk. Afterward, the two disks again rotate together (without further sliding). (a) What then is their angular velocity about the center of the larger disk? (b) What is the ratio K/Ko of the new kinetic energy of the two-disk system to the system's initial kinetic energy?