What is the value of the flow rate where a 24-inch interceptor is flowing half-full at 3 fps?

To determine the flow rate in a 24-inch interceptor flowing half-full at 3 feet per second (fps), we first need to calculate the cross-sectional area of the flow. When the interceptor is flowing half-full, the diameter is 24 inches; therefore, the radius is 12 inches.

To find the area in square feet, convert inches to feet:

• Radius in feet = 12 inches / 12 = 1 foot.

The cross-sectional area (A) of a circular pipe is calculated using the formula:

[

A = \pi r^2

]

Substituting in the radius:

[

A = \pi (1)^2 = \pi \text{ square feet}

]

Using the approximate value of (\pi) (3.14), the area equals 3.14 square feet.

Next, since the flow velocity is 3 fps, we can determine the flow rate (Q) using the equation:

[

Q = A \times V

]

Substituting the values we have:

[

Q = 3.14 , \text{sq ft} \times 3 , \text{fps} = 9.42