Solving for Air Speed in an Air Duct

In summary, to calculate air speed in an air duct, you need to measure the air flow rate and the cross-sectional area of the duct and then divide the air flow rate by the cross-sectional area. The formula for calculating air speed in an air duct is V = Q/A, where V is the air speed, Q is the air flow rate, and A is the cross-sectional area of the duct. Air speed is typically measured in feet per minute (FPM) or meters per second (m/s). Higher air speed can result in increased pressure and energy consumption, while lower air speed can lead to poor air circulation and reduced efficiency in an air duct system. Methods for increasing air speed include using smaller ducts, reducing bends and turns
  • #1
TooDank4U
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Homework Statement


A 15 cm. radius cylindrical air duct is used to replenish the air of a room 10 m.*6 m.* 3m. Every 10 minutes. Determine the speed of the air through the duct in m/s. A1=15 V1=? A2=19 V2=0

Homework Equations


A1V1=A2V2

The Attempt at a Solution


3.14*15^2 * ?= 19*0=. 3.14*15^2=706.5
 
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  • #2
Your attempt makes no sense. show units and explain your reasoning.

What is the volume of the room?
What volume per second must flow through the room to replace that volume every ten minutes?
To achieve that volumetric flow rate how fast must that air flow through the duct?
 
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1. How do you calculate air speed in an air duct?

To calculate air speed in an air duct, you will need to measure the air flow rate and the cross-sectional area of the duct. The air speed is then calculated by dividing the air flow rate by the cross-sectional area.

2. What is the formula for calculating air speed in an air duct?

The formula for calculating air speed in an air duct is V = Q/A, where V is the air speed, Q is the air flow rate, and A is the cross-sectional area of the duct.

3. What units are typically used for air speed in an air duct?

Air speed in an air duct is typically measured in feet per minute (FPM) or meters per second (m/s).

4. How does air speed affect the performance of an air duct system?

Air speed plays a crucial role in the performance of an air duct system. Higher air speed can result in increased pressure and energy consumption, while lower air speed can lead to poor air circulation and reduced efficiency.

5. What are some methods for increasing air speed in an air duct?

There are several methods for increasing air speed in an air duct, including using smaller ducts, reducing bends and turns in the duct system, and using fans or blowers to increase air flow rate. Properly sizing and designing the duct system is also important for achieving optimal air speed.

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