What is the Average Flow Rate in a Room with Circular Ducts?

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Homework Help Overview

The problem involves calculating the average flow rate of air in a room with specified dimensions and circular ducts. The room's dimensions are given, and the ducts' diameter is provided, along with the requirement for air exchange every 12 minutes.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss how to calculate the volume of the room and the area of the ducts. There is uncertainty about finding the velocity of the air and whether the room's shape affects the calculations.

Discussion Status

Some participants have provided guidance on calculating the volume of the room, and one participant has expressed appreciation for the assistance received. The discussion appears to be moving towards a resolution with the original poster gaining clarity on the calculations needed.

Contextual Notes

There is a mention of needing to convert volume measurements to different units, specifically from cubic meters per 12 minutes to cubic meters per second. The original poster's confusion about the room's shape suggests a need for clarification on assumptions regarding the geometry involved.

jerryez
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Homework Statement


A room measures 3.5m by 4.5m by 6.0m. If the heating and air conditioning ducts to and from the room are circular with diameter of 0.30m and all the air in the room is to be exchanged every 12 min, (a) what is the average flow rate ?


Homework Equations


A1*V1=A2*V2


The Attempt at a Solution


I can find the area of the conditioning duct. I am not sure how to find the velocity of the air or the area of the room. Is it saying the room is a traingle shape? HELP
 
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It is simpler than that. The rate IS the volume of the whole room every 12 minutes.
 
Do you know how to calculate the volume?
Width times length times height.
 
Thankyou so much montoyas7940!:smile: I figured it out thanks to your help. I am so happy! I found the volume of the room by what you said and then I just converted it to meters cubed per second because it was meters cubed per 12minutes.
 

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