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# A hollow spherical shell has mass 8.20 kg and radius 0.220

ISBN: 9780321675460 31

## Solution for problem 40E Chapter 9

University Physics | 13th Edition

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University Physics | 13th Edition

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Problem 40E

A hollow spherical shell has mass 8.20 kg and radius 0.220 m. It is initially at rest and then rotates about a stationary axis that lies along a diameter with a constant acceleration of 0.890 rad/s2. What is the kinetic energy of the shell after it has turned through 6.00 rev?

Step-by-Step Solution:

Solution 40E Step 1: Data given Mass of the spherical shell M = 8.20 kg Radius R = 0.220 m 2 Acceleration = 0.890 rad/s Revolution = 6.00 rev = 37.6 rad We shall find the inertia of the spherical shell It is given by I = (2/3) MR 2 Substituting values we get 2 I = (2/3) × 8.20 kg × (0.220 m) I = 0.26 kg m 2 Hence we have inertia as 0.26 kg m 2 Step 2 : We need to find the final velocity of the shell it is given by We know = 0i 2 2 f = +i2 f2 = 2 × 0.890 rad/s × 37.6 rad 2 = 66.92 rad /s 2 f f 8.18 rad /s Hence we have the final velocity of the spherical shell as 8.18 rad /s

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##### ISBN: 9780321675460

Since the solution to 40E from 9 chapter was answered, more than 2000 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 40E from chapter: 9 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. University Physics was written by and is associated to the ISBN: 9780321675460. This full solution covers the following key subjects: shell, mass, axis, constant, diameter. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The answer to “A hollow spherical shell has mass 8.20 kg and radius 0.220 m. It is initially at rest and then rotates about a stationary axis that lies along a diameter with a constant acceleration of 0.890 rad/s2. What is the kinetic energy of the shell after it has turned through 6.00 rev?” is broken down into a number of easy to follow steps, and 51 words. This textbook survival guide was created for the textbook: University Physics, edition: 13.

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