How many CFM will be delivered by a duct measuring 14" x 16" with air traveling at a velocity of 1200 FPM?

To determine the cubic feet per minute (CFM) delivered by a duct, you can use the formula:

CFM = Area (sq. ft.) x Velocity (FPM).

First, you need to calculate the cross-sectional area of the duct in square feet. The dimensions provided are in inches, so you'll convert those to feet.

The duct has dimensions of 14 inches by 16 inches. Converting these to feet:

• 14 inches = 14/12 = 1.167 feet

• 16 inches = 16/12 = 1.333 feet

Next, calculate the area:

Area = Width x Height = 1.167 feet x 1.333 feet = 1.556 sq. ft.

Now, apply the velocity of the air traveling through the duct, which is given as 1200 FPM (feet per minute):

CFM = Area x Velocity = 1.556 sq. ft. x 1200 FPM = 1867.2 CFM.

Rounding this result gives you approximately 1867 CFM. Therefore, the correct answer is that the duct will deliver 1867 CFM, confirming that this choice is indeed the accurate one based on