What is the pressure halfway up an 80 ft tall open pipe filled with water?

To find the pressure halfway up an 80 ft tall open pipe filled with water, you can use the basic principle that the pressure at a certain depth in a fluid is given by the hydrostatic pressure formula:

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

where:

• ( P ) is the pressure,

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

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

• ( h ) is the height of the water column above the point being measured.

Since the question asks for the pressure at halfway up the pipe, the height ( h ) is 40 ft (which is half of 80 ft).

Calculating the pressure at 40 ft:

1. Use the density of water: ( \rho = 62.4 \text{ lb/ft}^3 ).

2. Substitute into the formula:

Given that at the surface of the water, the pressure is zero. Therefore, the pressure at a height ( h ) can be calculated as:

[

P = \rho \cdot g