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

The pressure gauge reading at the base of a tank filled with water is determined by the depth of the water above it. The formula used to calculate hydrostatic pressure is:

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

Where:

• ( P ) is the pressure at the base in pounds per square inch (psi),
• ( \rho ) is the density of the water (approximately 62.4 pounds per cubic foot),
• ( g ) is the acceleration due to gravity (approximately 32.2 feet per second squared),
• ( h ) is the height or depth of the water column (in feet).

For water at a depth of 1 foot, we can substitute the values into the equation:

1. Convert the depth to psi using the density of water. The calculation for 1 foot of water typically results in:

[ P = 62.4 \text{ lb/ft}^3 \times 1 \text{ ft} / 144 \text{ in}^2/\text{ft}^2 \approx 0.433 \text{ psi} ]

This calculation indicates that at a depth of 1 foot, the hydrostatic pressure exert