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The barometer of a mountain hiker reads 930 mbars at the

Fluid Mechanics | 2nd Edition | ISBN: 9780071284219 | Authors: Yunus A. Cengel, John M. Cimbala ISBN: 9780071284219 39

Solution for problem 18P Chapter 3

Fluid Mechanics | 2nd Edition

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Fluid Mechanics | 2nd Edition | ISBN: 9780071284219 | Authors: Yunus A. Cengel, John M. Cimbala

Fluid Mechanics | 2nd Edition

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Problem 18P

The barometer of a mountain hiker reads 930 mbars at the beginning of a hiking trip and 820 mbars at the end. Neglecting the effect of altitude on local gravitational acceleration, determine the vertical distance climbed. Assume an average air density of 1.20 kg/m3.

Step-by-Step Solution:

Solution Introduction

A mountain hiker reads 930 mbars at the beginning and 820 mbars  finally in a barometer  by climbing a mountain.A   barometer  is  a  scientific  instrument  used  to  measure  the  atmospheric  pressure  at a point.We need to find out the distance covered vertically by the climber.

Step 1</p>

        

At the beginning the pressure readed by the barometer is P bottom =(ρgh)bottom

                         P bottom =930  mbars

At the final point,(on the top) the pressure readed by the barometer  P top =(ρgh)top

                        P top =820 mbars

Step 2</p>

        Now consider an air column between the top and the bottom of the mountain .

        The pressure of the air column can write as P air =(ρgh)air

We can write the pressure of the air column in terms of the pressure at the top of the mountain and bottom of the mountain as

P air =(P bottom  - P top)

We have  P air =(ρgh)air

Step 3 of 3

Chapter 3, Problem 18P is Solved
Textbook: Fluid Mechanics
Edition: 2
Author: Yunus A. Cengel, John M. Cimbala
ISBN: 9780071284219

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