In Chapter 10, we discussed fluid pressure and the role of water towers in small towns. Use MATLAB to create a table that shows the relationship between the height of water above ground in the water to wer and the water pressure in a pipeline located at the base of the water tower. The relationship is given by
where
P = water pressure at the base of the water tower in pounds per square foot (lb/ft2)
ρ = density of water in slugs per cubic foot (r = 1.94 slugs/ft3)
g = acceleration due to gravity ( g = 32.2 ft /s2)
h = height of water above ground in feet (ft)
Create a table that shows the water pressure in lb/in2 in a pipe located at the base of the water tower as you vary the height of the water in increments of 10 ft. Also, plot the water pressure (lb/in2) versus the height of water in feet. What should the water level in the water tower be to create 80 psi of water pressure in a pipe at the base of the water tower?
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