What is the velocity of the flow in a swale if Q = 20 CFS and A = 5 SF?

What is the velocity of the flow in a swale if Q = 20 CFS and A = 5 SF?

• A. 0.25 FPS
• B. 4.00 FPS
• C. 0.25 ft
• D. 4.00 ft

Answer: (B)

To determine the velocity of the flow in a swale, you can use the equation that relates flow rate (Q), cross-sectional area (A), and velocity (V) of the flow. The formula is given by: \[ V = \frac{Q}{A} \] Where: - \( V \) is the velocity (in cubic feet per second, FPS) - \( Q \) is the flow rate (in cubic feet per second, CFS) - \( A \) is the cross-sectional area (in square feet, SF) In this scenario, you have: - \( Q = 20 \) CFS - \( A = 5 \) SF Plugging these values into the formula: \[ V = \frac{20 \, CFS}{5 \, SF} = 4 \, FPS \] This computation shows that the velocity of the flow in the swale is 4 feet per second. Understanding this relationship is critical in hydrology as it helps in designing drainage systems, forecasting flooding, and managing water resources effectively.

To determine the velocity of the flow in a swale, you can use the equation that relates flow rate (Q), cross-sectional area (A), and velocity (V) of the flow. The formula is given by:

[ V = \frac{Q}{A} ]

Where:

• ( V ) is the velocity (in cubic feet per second, FPS)

• ( Q ) is the flow rate (in cubic feet per second, CFS)

• ( A ) is the cross-sectional area (in square feet, SF)

In this scenario, you have:

• ( Q = 20 ) CFS

• ( A = 5 ) SF

Plugging these values into the formula:

[ V = \frac{20 , CFS}{5 , SF} = 4 , FPS ]

This computation shows that the velocity of the flow in the swale is 4 feet per second. Understanding this relationship is critical in hydrology as it helps in designing drainage systems, forecasting flooding, and managing water resources effectively.