What is the pressure gauge reading at the base of a tank filled to a depth of 1 ft.?

To determine the pressure at the base of a tank filled with water to a depth of 1 foot, you can use the formula that relates pressure, depth, and the density of the fluid. The pressure at a certain depth in a fluid is given by the equation:

[ P = \rho \cdot g \cdot h ]

Where:

• ( P ) is the pressure at depth (in psi)

• ( \rho ) is the density of the fluid (for water, it is approximately 62.4 lb/ft³)

• ( g ) is the acceleration due to gravity (approximately 32.2 ft/s²)

• ( h ) is the height of the fluid column (in feet)

Using these values for water:

• Density (( \rho )) = 62.4 lb/ft³

• Height (( h )) = 1 ft

Substituting these into the formula gives:

[ P = \frac{62.4 \text{ lb/ft}^3 \times 1 \text{ ft}}{144} ]

(where 144 is the conversion factor to convert from lb/ft² to psi)

Calculating this gives:

[