**Problem: Rotational Motion**Two spheres are each rotating at an angular speed of 23.5 rad/s about axes that pass through their centers. Each has a radius of 0.440 m and a mass of 1.33 kg. However, as the figure shows, one is solid and the other is a thin-walled spherical shell. Suddenly, a net external torque due to friction (magnitude = 0.250 N·m) begins to act on each sphere and slows the motion down. How long does it take (a) the solid sphere and (b) the thin-walled sphere to come to a halt?**Diagrams:**- **Solid Sphere:** The image on the left is labeled "Solid sphere" and shows a blue sphere with a rotational axis through its center, denoted by an arrow indicating angular velocity (ω). - **Thin-Walled Spherical Shell:** The image on the right is labeled "Thin-walled spherical shell" and shows a similar blue sphere with an axis passing through it, also marked with angular velocity (ω), but indicating a hollow structure.**Questions:**(a) Time for solid sphere to come to a halt: (b) Time for thin-walled sphere to come to a halt: Both require input of the number and appropriate units.

Answered: Image /qna-images/answer/7d55f65c-1d9d-416c-aa52-395ec0eb4c41.jpgT1= 9.67 s T2 =16.2 s

Two spheres are each rotating at an angular speed of 23.5 rad/s about axes that pass through their centers. Each has a radius of 0.440 m and a mass of 1.33 kg. However, as the figure shows, one is solid and the other is a thin-walled spherical shell. Suddenly, a net external torque due to friction (magnitude = 0.250 N·m) begins to act on each sphere and slows the motion down. How long does it take (a) the solid sphere and (b) the thin-walled sphere to come to a halt? (a) Number i (b) Number i Solid sphere Units Units Thin-walled spherical shell

Two spheres are each rotating at an angular speed of 23.5 rad/s about axes that pass through their centers. Each has a radius of 0.440 m and a mass of 1.33 kg. However, as the figure shows, one is solid and the other is a thin-walled spherical shell. Suddenly, a net external torque due to friction (magnitude = 0.250 N·m) begins to act on each sphere and slows the motion down. How long does it take (a) the solid sphere and (b) the thin-walled sphere to come to a halt? (a) Number i (b) Number i Solid sphere Units Units Thin-walled spherical shell

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

A circular disk with a radius of 0.38 m is subject to 2 tangentially applied forces. The disc is fixed such that it will rotate about its center. Both forces produce a torque in the same direction. The mass of the disc is 0.73 kg. The moment of inertia of a disc is I =1/2MR^2 F1 = 2.3 N applied at the outer edge of the disc. F2 = 3.6 N applied at a distance of 0.29 from the center of the disc. What is the angular acceleration of the disc?
A grindstone in the shape of a solid disk (mass M = 50.0 kg) and radius R = 0.200 m (moment of Inertia | = 1/2 MR^2) is rotating at 90.0 rad/s. You press a metal box against the rim with a force F = 180 N and the grindstone comes to rest in 10.0 s. There is a friction force between the grindstone and the box. Find the magnitude of the friction.
The uniform solid block in the figure has mass 27.6 kg and edge lengths a = 0.971 m, b = 1.43 m, and c = 0.118 m. Calculate its rotational inertia about an axis through one corner and perpendicular to the large faces. Rotation SEXE Number Units rad rad/s rad/s^2 kg-m^2 N-m kg-m^2/s rad^2/s^2 Save for Later Attempts: 0 of 5 used Submit Answer Using multiple attempts will impact your score. 20% score reduction after attempt 4
Two Thin rectangular sheets (0.28m x 0.47 m) are identical. In the first sheet the axis of rotation lies along the 0.28 inside, and in the second it lies along 0.47m side. The same torque is applied to each sheet. The first sheet starting from rest reaches its final angular velocity in 5.2 s. How long does it take for the second seat starting from rest to reach the same Angularer velocity?
An object that is initially at rest begins to rotate under a constant angular acceleration of 2.16 rad/s2. How long does it take the object to undergo an angular displacement of 217 rad?
An object is spinning with an initial angular velocity of 15.2 rad/s. Over a time of 1.44 s, the object increases its angular velocity to 44.6 rad/s. How many revolutions did the object rotate through in this time?
A wind turbine is initially spinning at a constant angular speed. As the wind's strength gradually increases, the turbine experiences a constant angular acceleration 0.149 rad/s2. After making 2870 revolutions, its angular speed is 151 rad/s. (a) What is the initial angular velocity of the turbine? (b) How much time elapses while the turbine is speeding up?(a) Number Units (b) Number Units
A rigid object is initially at rest and set into rotational motion under a constant angular acceleration of 2.08 rad/s^2. After what amount of time will the object have undergone 24 full revolutions?
A circular disk with a radius of 0.38 m is subject to 2 tangentially applied forces. The disc is fixed such that it will rotate about its center. Both forces produce a torque in the same direction. The mass of the disc is 0.73 kg. The moment of inertia of a disc is I = 1/2 MR^2 F1 = 2.3 N applied at the outer edge of the disc. F2 = 3.6 N applied at a distance of 0.29 from the center of the disc. What is the angular acceleration of the disc?
An object has a moment of inertia of 5.73 kg m², and a torque of 18.7 N · m is applied on it. What is the angular acceleration of the object in unit of rad/s?
A cylinder is rotating about an axis that passes through the center of each circular end piece. The cylinder has a radius of 0.110 m, an angular speed of 64.0 rad/s, and a moment of inertia of 1.08 kg-m². A brake shoe presses against the surface of the cylinder and applies a tangential frictional force to it. The frictional force reduces the angular speed of the cylinder by a factor of 9 during a time of 8.00 s. (a) Find the magnitude of the angular deceleration of the cylinder. (b) Find the magnitude of the force of friction applied by the brake shoe. (a) Number i (b) Number i Units Units
A 4.0 m long thin rod is pinned so that it spins about its center. The rod has a rotational inertia of 8.0 kg m2 about this center. The rod has two 3.0 kg masses attached at each end. What force F must be applied to one end to make the system rotate with an angular acceleration of 4.0 rad/s2 about its center?