Solving for Air Speed in an Air Duct

AI Thread Summary
The discussion focuses on calculating the air speed in a cylindrical duct used for room ventilation. The duct has a radius of 15 cm and needs to replenish the air in a room measuring 10 m x 6 m x 3 m every 10 minutes. The equation A1V1=A2V2 is used to relate the cross-sectional area and air velocities, but there is confusion regarding the calculations. Key questions include determining the room's volume and the required volumetric flow rate to achieve the necessary air replacement. The final goal is to find the air speed through the duct in meters per second.
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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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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