A properly calibrated pressure transmitter connected to a 20-ft tall tank with a water level of 15 ft would indicate a pressure of approximately what value?

To determine the pressure indicated by a properly calibrated pressure transmitter in a tank with a water level of 15 ft, it's essential to understand the relationship between water height and pressure measurement.

First, it's critical to recognize that pressure in a fluid column is calculated using the formula:

[ \text{Pressure (P)} = \text{Density (ρ)} \times \text{Gravitational acceleration (g)} \times \text{Height (h)} ]

For water, the density is typically about 62.4 lb/ft³, and gravitational acceleration is approximately 32.2 ft/s². However, in this type of calculation when measuring in inches of water column, we can simplify it to the height of the water in inches multiplied by a conversion factor.

Since there are 12 inches in a foot, the height of water (15 ft) can be converted to inches:

[ 15 \text{ ft} \times 12 \text{ inches/ft} = 180 \text{ inches} ]

The pressure exerted by a column of water can also be expressed in inches of water column. At the surface of the water in the tank, the pressure due to the water level of 15 ft corresponds