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The valve stem on a tire must exert a certain force on the

Conceptual Physics | 12th Edition | ISBN: 9780321909107 | Authors: Paul G. Hewitt ISBN: 9780321909107 29

Solution for problem 5E Chapter 14

Conceptual Physics | 12th Edition

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Conceptual Physics | 12th Edition | ISBN: 9780321909107 | Authors: Paul G. Hewitt

Conceptual Physics | 12th Edition

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Problem 5E

The valve stem on a tire must exert a certain force on the air within to prevent any of that air from leaking out. If the diameter of the valve stem were doubled, by how much would the force exerted by the valve stem increase?

Step-by-Step Solution:
Step 1 of 3

To understand this logically we need to know some basic relations and instantly we can say The force would increase. 2 The area of the stem is r . Where r is the radius of the the steam We know the relation between diameter and radius Diameter of the steam= radius of the steam 2 d= 2 force And w.k.t pressure= area So Force=pressure×area Force is directly proportional to area of the steam Therefore,If the diameter is doubled, the radius is also doubled. The initial size of the valve stem would determine how much the effect of doubling the radius would have on the total area and therefore the exact increase in the pressure exerted on the valve based on the tire's pressure. When the diameter is doubled ,the area will increase four times as much For The same pressure, this would mean four times as much force.

Step 2 of 3

Chapter 14, Problem 5E is Solved
Step 3 of 3

Textbook: Conceptual Physics
Edition: 12
Author: Paul G. Hewitt
ISBN: 9780321909107

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