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Using Specific Volume, Volume, and PressureThe pressure
Chapter 1, Problem 43P(choose chapter or problem)
The pressure from water mains located at street level may be insufficient for delivering water to the upper floors of tall buildings. In such a case, water may be pumped up to a tank that feeds water to the building by gravity. For an open storage tank atop a 300 -ft-tall building, determine the pressure, in \(\mathrm{lbf} / \mathrm{in}^2\), at the bottom of the tank when filled to a depth of \(20 \mathrm{ft}\). The density of water is \(62.2 \mathrm{lb} / \mathrm{ft}^3, \(g=32.0 \mathrm{ft} / \mathrm{s}^2\), and the local atmospheric pressure is \(14.7 \mathrm{lbf} / \mathrm{in}^2\).
Questions & Answers
QUESTION:
The pressure from water mains located at street level may be insufficient for delivering water to the upper floors of tall buildings. In such a case, water may be pumped up to a tank that feeds water to the building by gravity. For an open storage tank atop a 300 -ft-tall building, determine the pressure, in \(\mathrm{lbf} / \mathrm{in}^2\), at the bottom of the tank when filled to a depth of \(20 \mathrm{ft}\). The density of water is \(62.2 \mathrm{lb} / \mathrm{ft}^3, \(g=32.0 \mathrm{ft} / \mathrm{s}^2\), and the local atmospheric pressure is \(14.7 \mathrm{lbf} / \mathrm{in}^2\).
ANSWER:Solution 43P
Step 1 of 3
Here we need to calculate the pressure at the bottom of the tank with water level of 20ft and placed on the top of building which is 300 ft tall.In the given problem, the density of the water is , acceleration due to gravity is
and atmospheric pressure is
.
Given data,
Density of the water is
Acceleration due to gravity
Atmospheric pressure
Height of water from bottom of tank,
To find,
Pressure at the bottom of tank,