Head Loss Calculation in a 6-Inch Plastic Pipe

What is the head loss in a 6-inch plastic pipe that is 1200 ft long and carrying 0.6 cfs of water?

The head loss in the 6-inch plastic pipe that is 1200 ft long and carrying 0.6 cfs of water is most nearly:

A. 0.8

B. 2.5

C. 9.1

D. 15.4

The head loss in a pipe can be calculated using the Hazen-Williams formula. In this case, we have a 6-inch plastic pipe with a length of 1200 ft and a Hazen-Williams coefficient of 120. The flow rate through the pipe is 0.6 cfs.

Using the Hazen-Williams formula:

head loss = (0.002083 * length * velocity^1.852) / (diameter^4.87 * C)

where:

- length is the length of the pipe in feet (1200 ft),

- velocity is the flow rate divided by the cross-sectional area of the pipe (0.6 cfs / (π*(0.5 ft)^2)),

- diameter is the diameter of the pipe in feet (6 inches = 0.5 ft), and

- C is the Hazen-Williams coefficient (120).

Plugging in these values, we can calculate the head loss:

head loss = (0.002083 * 1200 * (0.6 / (π*(0.5)^2))^1.852) / (0.5^4.87 * 120)