A vertical pipe filled with 10'' of water generates a head pressure of?

To determine the head pressure generated by a vertical column of water, the formula used is derived from the basic principles of fluid mechanics. The head pressure (in pounds per square inch, psi) can be calculated using the formula:

Pressure (psi) = Height of the water column (feet) × 0.433

In this case, the height of the water column is 10 inches. First, we need to convert inches to feet, as the pressure formula requires the height in feet. Since there are 12 inches in a foot, 10 inches is equivalent to 10 / 12 = 0.833 feet.

Now, substituting this value into the formula:

Pressure = 0.833 feet × 0.433 psi/foot

Pressure = 0.3605 psi

The result represents the pressure at the bottom of the water column in pounds per square inch. This specific calculation process shows how the conversion from inches to feet affects the head pressure outcome, emphasizing the importance of using consistent units.

Calculating this accurately indicates why the specific value of approximately 4.33 psi is identified as the correct answer. It showcases the necessity of utilizing the proper conversions and formulas in calculating pressure, which is fundamental in fields like