A column of water with a height of 4.6 feet at sea level will exert a pressure of MOST NEARLY how many pounds per square inch?

To find the pressure exerted by a column of water at a certain height, we can use the formula for pressure in fluids, which is given by:

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

where:

• ( P ) is the pressure (in pounds per square inch),

• ( \rho ) is the density of the fluid (for water, approximately 62.4 pounds per cubic foot),

• ( g ) is the acceleration due to gravity (approximately 32.2 feet per second squared), and

• ( h ) is the height of the water column (in feet).

For a column of water with a height of 4.6 feet, we can calculate the pressure:

1. Calculate the pressure in pounds per square foot:

[ P = 62.4 , \text{lb/ft}^3 \times 4.6 , \text{ft} ]

[ P = 287.04 , \text{lb/ft}^2 ]

2. Convert this pressure from pounds per square foot to pounds per square inch:

Since there are 144 square inches in a square foot:

[