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…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 10P: A wheel 2.00 m in diameter lies in a vertical plane and rotates about its central axis with a...

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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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