Engineering Fundamentals: An Introduction to Engineering
Engineering Fundamentals: An Introduction to Engineering
6th Edition
ISBN: 9780357112311
Author: Saeed Moaveni
Publisher: Cengage Learning US
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Chapter 15, Problem 2P
To determine

Use MATLAB to create a Table and plot the relationship between height of the water above ground in the water tower and water pressure in pipeline at the base of the tower and also find the height of the water tower when the pressure 80psi is created.

Expert Solution & Answer
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Answer to Problem 2P

The height of the water tower is approximately just below 190ft when the pressure 80psi is created.

Explanation of Solution

Given info:

The relationship between the pressure and height is given by,

P=ρgh (1)

Here,

P is the water pressure at the base of water in lbft2,

ρ is the density of water in slugsft3,

g is the acceleration due to gravity in fts2,

h is the altitude in ft.

ρ=1.94slugsft3g=32.2fts2

Calculation:

The steps to create the table and plot which shows the relationship between height and pressure in MATLAB are as follows,

  • Generate a range of values for the height by an increment of 10ft to find the pressure at different height.
  • Use the values of density and acceleration gravity in equation (1) to find the value of pressure.
  • To find the value of pressure in lbin2 divide the equation (1) by 144.
  • To print the value of pressure at the 2 decimal digit use “format bank” command.
  • Print the value of pressure for the range of height from 0to200ft by an increment of 10ft.

In the MATLAB script editor type the code as follows and save with a name of “unitconversion” as .m file, then execute the code to create the table and plot between height and pressure,

h=0:5:200;

P=(1.94)*(32.2)*(1/144)*h;

format bank

fprintf('\n-------------------------------------')

fprintf('\n\t\th(ft)\t\t\tP(lb/in^2)')

fprintf('\n--------------------------------------\n')

disp([h', P'])

fprintf('----------------------------------------')

plot(h,p)

xlabel('Height (m) ')

ylabel('Pressure (lb/in^2) ')

In the MATLAB command window the result will be displayed as follows,

-------------------------------------

h(ft)P(lb/in^2)

--------------------------------------

             0             0

          5.00          2.17

         10.00          4.34

         15.00          6.51

         20.00          8.68

         25.00         10.85

         30.00         13.01

         35.00         15.18

         40.00         17.35

         45.00         19.52

         50.00         21.69

         55.00         23.86

         60.00         26.03

         65.00         28.20

         70.00         30.37

         75.00         32.54

         80.00         34.70

         85.00         36.87

         90.00         39.04

         95.00         41.21

        100.00         43.38

        105.00         45.55

        110.00         47.72

        115.00         49.89

        120.00         52.06

        125.00         54.23

        130.00         56.39

        135.00         58.56

        140.00         60.73

        145.00         62.90

        150.00         65.07

        155.00         67.24

        160.00         69.41

        165.00         71.58

        170.00         73.75

        175.00         75.92

        180.00         78.08

        185.00         80.25

        190.00         82.42

        195.00         84.59

        200.00         86.76

----------------------------------------

And the plot will displays as shown in below Figure 1,

Engineering Fundamentals: An Introduction to Engineering, Chapter 15, Problem 2P

From the output of the MATLAB, the height of the water tower is approximately just below 190ft when the pressure 80psi(1lbin2=1psi) is created.

Conclusion:

Thus, the relationship between height of the water above ground in the water tower and water pressure in pipeline at the base of the tower is shown by creating a Table in MATLAB and the height of the water tower is approximately just below 190ft when the pressure 80psi is created.

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