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Inches of Water

04/18/2009 2:24 PM

What is the formula for finding "inches of water" that will be supported by 14.7 psi at sea level?

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#1

Re: Inches of Water

04/18/2009 2:32 PM

Google 'conversion inches water psi' there will be many conversion sites.

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#2

Re: Inches of Water

04/18/2009 5:06 PM

Dratt I accidentally misstook this for the thread on making a wave height measuring device and gave it 5 stars.
NO IT'S NOT WORTH ANY STARS.

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#4
In reply to #2

Re: Inches of Water

04/18/2009 5:39 PM

bwahaha!

oops, sorry

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#3

Re: Inches of Water

04/18/2009 5:24 PM

Zee Rho?

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#5

Re: Inches of Water

04/18/2009 11:03 PM

The OP asks for the actual calculation, not the end result conversion, which anyone can look up. So here goes, with the usual caveat for this type of question.

I hope this isn't a homework problem. You are only cheating yourself.

The question is the same as asking what height column of water with footprint 1 sq inch is supported by 14.7 lbs per sq inch. It should be obvious that the weight of the water that is supported is precisely 14.7 lbs.

It remains to calculate how many cubic inches weigh 14.7 lbs, which is only a function of the density of water, which is 0.036 lbs per cubic inch, at 32 degrees F and sea level. So the answer is then

14.7 lbs/sq inch / 0.036 lbs per cubic inch = 408 inches of water.

I myself am more used to working in the MKS system of units for this kind of calculation, and I had to look up water density in English units. But if you know some basic conversions between metric and English, the conversion is easy to get.

14.7 lbs/sq in * 454 gm/lb * 1 cc/gm * [ 1 in/2.54 cm ]^3 = 408 inches

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#7
In reply to #5

Re: Inches of Water

04/19/2009 12:23 AM

14.7 lbs/sq in * 454 gm/lb * 1 cc/gm * [ 1 in/2.54 cm ]^3 = 408 inches

Now divide that by 12 and find that 34 foot limit on how high you can lift water out of a well with a pump. The atmosphere will not "push" the water any higher, no matter how hard you pump. That's why the pump is put below the water level to "push" the water up from deeper wells.

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#13
In reply to #5

Re: Inches of Water

04/20/2009 3:02 PM

How about 760 mm Hg

L

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#6

Re: Inches of Water

04/19/2009 12:21 AM

What is the 14.7psi absolute or gauge??

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#8

Re: Inches of Water

04/19/2009 1:32 AM

Hi kilomark

emc_c gave you your answer in post 5.

You must however remember that it is 408" under static conditions,

Meaning that if there is any movement of water friction losses must be added to the value.

Also don't be fooled by the theory that pressure can be increased by reducing the (pipe diameter) area of the column close to the bottom. The static pressure will remain the same.

Also even if you increase the size of the column to a sport stadium the pressure will remain the same.

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#9

Re: Inches of Water

04/19/2009 12:38 PM

Hi kilomark,

Now that you have the approximate answer and know how to do it, here is a site that will do it with good accuracy:

http://calculatoredge.com/

Go down to "oil & gas" and click on "pressure". You will find the conversion you want there.

regards,

-S

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#10

Re: Inches of Water

04/19/2009 1:09 PM

Greetings.

27.71 inches of water column equals 1.0 pounds per square inch.

Happy math.

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#11

Re: Inches of Water

04/20/2009 12:44 AM

Hi....

1 atm = 14.6959488 pounds per square inch or 1 atm = 29.9246899 inches of mercury. Therefore, if you may multiply it by the density of mercury to find the height of water column that will stand in 1atm under condition of vaccume.

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#12

Re: Inches of Water

04/20/2009 2:11 PM

From Domnick Hunter Compressed Air Pocket Guide.

1 lb/in2 = 27.6799 inH2O (often rounded to 27.7 inH2O)

1 atmosphere = 14.6959 psia (absolute) commonly rounded to 14.7 psia

1 atmosphere = 33.8984 ftH2O

Multiply 27.6799 x 14.6959 = 406.78 inH2O

Multiply 33.8984 x 12 in/ft = 406.78 inH2O

Ref: [14.7 x 27.7 = 407.19]

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#14
In reply to #12

Re: Inches of Water

04/20/2009 7:23 PM

Bloody hell, lad - you're talking nearly half an inch!

Never heard of Domnick Hunter, but standard pressure ( 1 atmosphere) is 14.504 psi (IUPAC), or 14.696 psi (NIST). No point getting pickky when there are so many different standards.

The OP asked his question specifying 14.7 psi.

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#15

Re: Inches of Water

09/11/2016 11:12 AM

Dear Mr. kilomark,

At sea level, one atmospheric prssure is 14.7 psi (actually 14.696 psi) equal to 34 FEET of WATER COLUMN, and hence 34 x 12 = 408 inches of water. (You know 1 foot = 12 inches.)

DHAYANANDHAN.S

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