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Science of Water : Concepts and Applications

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<strong>Water</strong> Hydraulics 51<br />

√ Important Point: 1 ft <strong>of</strong> water = 0.433 psi.<br />

With the above information, feet <strong>of</strong> head can be converted into pounds per square inch by multiplying<br />

the feet <strong>of</strong> head times 0.433 psi/ft.<br />

Example 3.5<br />

Problem:<br />

A tank is mounted at a height <strong>of</strong> 90 ft. Find the pressure at the bottom <strong>of</strong> the tank.<br />

Solution:<br />

90ft 0.433psi/ft 39psi<br />

(rounded)<br />

√ Note: To convert pounds per square inch into feet, you would divide the pounds per square inch<br />

by 0.433 psi/ft.<br />

Example 3.6<br />

Problem:<br />

Find the height <strong>of</strong> water in a tank if the pressure at the bottom <strong>of</strong> the tank is 22 psi.<br />

Solution:<br />

22psi<br />

Height (ft) 51ft<br />

(rounded)<br />

0.433psi/ft<br />

√ Important Point: One <strong>of</strong> the problems encountered in a hydraulic system is storing the liquid.<br />

Unlike air, which is readily compressible <strong>and</strong> is capable <strong>of</strong> being stored in large quantities in<br />

relatively small containers, a liquid such as water cannot be compressed. Therefore, it is not<br />

possible to store a large amount <strong>of</strong> water in a small tank—62.4 lb <strong>of</strong> water occupies a volume <strong>of</strong><br />

1 ft 3 , regardless <strong>of</strong> the pressure applied to it.<br />

HYDROSTATIC PRESSURE<br />

Figure 3.2 shows a number <strong>of</strong> differently shaped, connected, open containers <strong>of</strong> water. Note that the<br />

water level is the same in each container, regardless <strong>of</strong> the shape or size <strong>of</strong> the container. This occurs<br />

because pressure is developed, within water (or any other liquid), by the weight <strong>of</strong> the water above.<br />

If the water level in any one container were to be momentarily higher than that in any <strong>of</strong> the other<br />

FIGURE 3.2 Hydrostatic pressure.<br />

Liquid<br />

level<br />

T

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