Using a 14 by 14 inch rectangular duct, what would be the result if the velocity is increased to 1200 FPM?

To determine the airflow in cubic feet per minute (CFM) through a duct given the duct dimensions and velocity, you'll need to use the formula for calculating airflow:

[

\text{CFM} = \text{Area} \times \text{Velocity}

]

First, we need to calculate the area of the duct. The duct is rectangular, measuring 14 inches by 14 inches. The area in square feet can be calculated as follows:

1. Convert inches to feet:

• 14 inches = 14/12 feet = 1.167 feet

• Area = Length × Width = 1.167 ft × 1.167 ft = 1.367 square feet (approximately).

Next, we will use the given velocity of 1200 feet per minute (FPM) in the formula to calculate the CFM:

[

\text{CFM} = \text{Area} \times \text{Velocity} = 1.367 , \text{sq ft} \times 1200 , \text{FPM}

]

Calculating this:

[

\text{CFM} = 1.367 \times 1200 =