What Is the Minimum Diameter for a Pipe Serving 360 Apartments to Prevent Leaks?

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Homework Help Overview

The discussion revolves around determining the minimum diameter for a pipe intended to serve a residential tower with 360 apartments, each consuming water at a rate of 0.05 liters per second. The problem includes considerations of discharge speed and potential leaks.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the calculations related to flow rate and pipe diameter, with some attempting to apply the area and velocity relationship. Questions arise regarding the interpretation of the problem, particularly concerning the implications of the number of users and the discharge speed.

Discussion Status

There is an active exploration of the problem with various interpretations being considered. Some participants express confusion about the requirements of the problem, particularly regarding the mention of leaks and the meaning of "least possible pipe discharge." Guidance has been offered in the form of calculations, but no consensus has been reached on the correct approach.

Contextual Notes

Participants note the importance of the number of apartments and the discharge speed, while also questioning the assumptions made about water usage patterns among residents. There is uncertainty about the relevance of certain details in the problem statement.

vinamas
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Homework Statement


An engineer is planning for a network of pipes to a residential tower containing 360 apartments each one of them consumes 0.05 liters/s of water what is the least possible pipe discharge for the main pipe in the network
if the fastest speed of discharge in the pipe is 4m/s then what is the least diameter possible that doesn't cause leaking

Homework Equations


J=Av=V/t

The Attempt at a Solution


I convert from liters to volume try to apply the law of course it doesn't work I have two variables
https://www.physicsforums.com/threads/pipe-discharge-and-diameter.860980/goto/post?id=5402647#post-5402647 my work:
360*0.05*10^-3/s=A*4
A=0.0045
0.0045=(d/2)^2*pi
d=0.07m. I think the 360 apartments are vital to solve this problem but I don't know where to use them
the diameter is 0.2m How do I get this answer?[/B]
 
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0.05 l is a shot glass. Is this per year ?

Could you list off the relevant equations a bit more completely ?

And show your work ?
 
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BvU said:
0.05 l is a shot glass. Is this per year ?

Could you list off the relevant equations a bit more completely ?

And show your work ?
Oh sorry I just edited it its liters per second
 
Can you show your work ?
And how do you find the 0.05 l/s ?
 
BvU said:
Can you show your work ?
And how do you find the 0.05 l/s ?
its given in the problem

my work:
360*0.05*10^-3/s=A*4
A=0.0045
0.0045=(d/2)^2*pi
d=0.07m. I think the 360 apartments are vital to solve this problem but I don't know where to use them
 
360 is the number of users; 4 is m/s I suppose. You get 7.6 cm diameter.

But don't most of these 360 users sleep around the same time and wake up around the same time and want to shower at approximately the same time ? Would they be happy with 3 liters/minute each ?
 
BvU said:
360 is the number of users; 4 is m/s I suppose. You get 7.6 cm diameter.

But don't most of these 360 users sleep around the same time and wake up around the same time and want to shower at approximately the same time ? Would they be happy with 3 liters/minute each ?
Well that's the question lol
 
BvU said:
360 is the number of users; 4 is m/s I suppose. You get 7.6 cm diameter.

But don't most of these 360 users sleep around the same time and wake up around the same time and want to shower at approximately the same time ? Would they be happy with 3 liters/minute each ?
So what is wrong about my method?
 
No idea what's wrong. I calculate what you calculate, but it is highly unlikely that's really what is asked. I also don't understand the mentioning of leaking in the problem statement.
Nor, in fact, the "least possible pipe discharge for the main pipe in the network" ? (even before the 4 m/s is provided).

Any clue in your notes/textbook ?
 
  • #10
BvU said:
No idea what's wrong. I calculate what you calculate, but it is highly unlikely that's really what is asked. I also don't understand the mentioning of leaking in the problem statement.
Nor, in fact, the "least possible pipe discharge for the main pipe in the network" ? (even before the 4 m/s is provided).

Any clue in your notes/textbook ?
You can forget those details the diameter of the main pipe is what the question asks I know its confusing