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The water in a 25-m-deep reservoir is kept inside by a

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

Solution for problem 149P 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 149P

The water in a 25-m-deep reservoir is kept inside by a 150-m-wide wall whose cross section is an equilateral triangle, as shown in Fig. P10-45. Determine (a) the total force (hydrostatic + atmospheric) acting on the inner surface of the wall and its line of action and (b) the magnitude of the horizontal component of this force. Take Patm = 100 kPa.

Step-by-Step Solution:

Problem 149P

The water in a 25-m-deep reservoir is kept inside by a 150-m-wide wall whose cross section is an equilateral triangle, as shown in Fig. P10-45. Determine (a) the total force (hydrostatic + atmospheric) acting on the inner surface of the wall and its line of action and (b) the magnitude of the horizontal component of this force. Take Patm = 100 kPa.

Solution 149 P

Step 1 :

In this question, we need to find total force acting on the inner surface of the wall

In the second part, we need to find magnitude of horizontal component of total force

Data given

Depth

Width

Atmospheric pressure

Density of water

Considering the figure given

        

Step 2 :

We shall find the length of wall surface along the water, that is the breadth of the triangle

It is given

                        

                        

                        

Hence we have obtained breadth of triangle as

Step 3 :

We shall find the resultant hydrostatic pressure of the triangle

It is given by

                        

Therefore         

                        

Substituting values we get

                        

        

Hence we have obtained resultant force as         

Step 4 of 5

Chapter 3, Problem 149P is Solved
Step 5 of 5

Textbook: Fluid Mechanics
Edition: 2
Author: Yunus A. Cengel, John M. Cimbala
ISBN: 9780071284219

This full solution covers the following key subjects: Force, Wall, kept, component, Cross. This expansive textbook survival guide covers 15 chapters, and 1547 solutions. This textbook survival guide was created for the textbook: Fluid Mechanics, edition: 2. Since the solution to 149P from 3 chapter was answered, more than 1564 students have viewed the full step-by-step answer. Fluid Mechanics was written by and is associated to the ISBN: 9780071284219. The full step-by-step solution to problem: 149P from chapter: 3 was answered by , our top Engineering and Tech solution expert on 07/03/17, 04:51AM. The answer to “The water in a 25-m-deep reservoir is kept inside by a 150-m-wide wall whose cross section is an equilateral triangle, as shown in Fig. P10-45. Determine (a) the total force (hydrostatic + atmospheric) acting on the inner surface of the wall and its line of action and (b) the magnitude of the horizontal component of this force. Take Patm = 100 kPa.” is broken down into a number of easy to follow steps, and 62 words.

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