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)...
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**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.
Transcribed Image Text:**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.
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