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Q: PSI of water ( Answered,   1 Comment )
Question  
Subject: PSI of water
Category: Science > Physics
Asked by: melp-ga
List Price: $10.00
Posted: 13 Sep 2003 11:44 PDT
Expires: 13 Oct 2003 11:44 PDT
Question ID: 255469
If I have 300 gallons of water attached to a 1' pipe how do I
calculate the psi at various drops?
Answer  
Subject: Re: PSI of water
Answered By: sublime1-ga on 13 Sep 2003 15:39 PDT
 
melp...

"Pat Lyon is a middle school mathematics and computer teacher at
 James Monroe Middle School in Eugene and project director of The
 Tale of Two Rivers & Virtual Eugene Projects. His areas of
 professional interest include the design of Web and
 technology-based curricula and teaching middle school.
 He holds a Master's degree in education from Nazareth College
 in Rochester, N.Y."
http://otn.uoregon.edu/eisenhower/leadership/model_4/

As indicated by this lesson plan by Pat Lyon, contained in a pdf
file on the 'Oregon Content Standards and Technology' website:

"A column of water 2.31 feet tall creates 1 pound per square inch
 (psi) of pressure. The volume of water is not a factor in
 determining water pressure, only height. Therefore, a ten foot
 column of water containing 100 gallons and a ten foot column of
 water containing 1000 gallons will result in the same water
 pressure".

The pdf is no longer available for download, but you can view
Google's html cache of the file here:
http://216.239.53.104/search?q=cache:khM-SIcrc3IJ:otn.uoregon.edu/eisenhower/leadership/model_4/PLLP2.pdf+%22determining+water+pressure&hl=en&ie=UTF-8


Another site that confirms this figure is the 'Online Unit
Converter'. The following page gives the exact figure for 
1 pound per square inch (psi) of pressure as equal to 
2.3089660334547 foot water (60°F) (about a third of the way
down the page)., which was rounded off by Pat Lyon, above,
to 2.31 feet of water.
http://onlineconverter.host.sk/factors.php?cat=pressure&unit=36&val=1


If 2.3089660334547 feet of water = 1 psi, then
1 foot of water = 0.43309428788079189006441478803154 psi
10 feet of water = 4.3309428788079189006441478803154 psi
and so on.

You can, of course, refine this to inches of pipe length by
dividing 0.43309428788079189006441478803154 psi by 12:
1 inch of water = 0.036091190656732657505367899002628 psi.


The height/pressure relationship is nicely illustrated in
figure 1-3 on the Sweethaven Publishing Services site:
http://www.sweethaven.com/academic/lessons/mechTech/hydraulics01/moduleMain.asp?whichMod=0101


The National Driller site adds the following in its discussion
of water pressure:

"Another good way to remember this relationship is to picture
 a water tower. If you have a 100-foot-high water tower in your
 town, what would be the pressure in terms of psi at the bottom
 of the tank? The answer — 43 psi, about the pressure you’d like
 to have coming into your house."
http://www.drilleronline.com/CDA/ArticleInformation/features/BNP__Features__Item/0,3643,102765,00.html


I believe this will serve to assist you in your calculations.

Please do not rate this answer until you are satisfied that
the answer cannot be improved upon by means of a dialog
established through the "Request for Clarification" process.

sublime1-ga


Searches done, via Google:

"determining water pressure
://www.google.com/search?q=%22determining+water+pressure

1 foot = water pressure
://www.google.com/search?q=1+foot+%3D+water+pressure

1 water feet = psi
://www.google.com/search?q=1+water+feet+%3D+psi
Comments  
Subject: Re: PSI of water
From: snsh-ga on 14 Sep 2003 20:28 PDT
 
The most intuitive way to solve these water tank/pressure problems is
by solving for energy.  Energy=force*distance.  Imagine the 1" of
water flows through the pipe.  How much height did that particular
portion of water drop from the top of the 300-gallon tank?  Multiply
height*mass*gravity-constant to get energy.  Divide by 1", and you
have force.  Divide by surface area to get PSI.

To get a more accurate answer, use smaller distances that 1". 
Remember: Arithmetic is like counting on your fingers.  Calculus is
like counting on really small fingers.

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