Q 5 At a museum there is an installation which consists of a giant solid granite sphere (with a radius of 0.6m and a mass of 2500 kg) that is lifted slightly off a stone base by powerful jets of water. If you applyan average force of 50 N to the rightmost edge of the sphere at a 40° above the horizontal for a totalof 60 s, what is the final angular speed of the sphere in rotations per minute (rpm), assuming it is notspinning when you begin pushing?

Answered: At a museum there is an installation…

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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Q 5

At a museum there is an installation which consists of a giant solid granite sphere (with a radius of 0.6
m and a mass of 2500 kg) that is lifted slightly off a stone base by powerful jets of water. If you apply
an average force of 50 N to the rightmost edge of the sphere at a 40° above the horizontal for a total
of 60 s, what is the final angular speed of the sphere in rotations per minute (rpm), assuming it is not
spinning when you begin pushing?

Expert Solution

Step 1

Given information:

Here, M and R are the mass and the radius of the giant solid sphere, F is the force applied, θ is the angle at which the force is applied and t is the time till the force is applied.

Step 2

Write Newton’s second law (rotational form) and plug the knowns to compute the angular acceleration (α) of the solid sphere.

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