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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
23 Jan 2022

Given information

Given in the equation that,

Initial tire (gauge) pressure is    

Final pressure  

Diameter of the plunger in the cylinder of the pump  

We need to find the range of the force that needs to be applied to the pump handle from beginning to end

Step-by-step explanation

Step 1.

 

To determine the range of force acting on the pump handle, use the pressure and area of the pump cylinder.

The force acting at the beginning of the handle of the pump is,

 

The pressure at the beginning of the handle of the pump is

And the area of the cylinder of the pump is represented by  

The radius of the pump cylinder is denoted by

The area of the pump cylinder is,
 

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