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#1
05-06-2006, 06:56 AM
 ropnjoker Guest Posts: n/a
conversion of a diameter to square feet.

I'm trying to determine the footprint (PSI) of a 15 foot diameter swimming pool. To do so, I need to convert the circle into square feet (I think) then knowing that water weighs approx 8 lbs per gallon, and the capacity is 5300 gallons, I have 42,400 lsbs total. but now I need the conversion to square feet. Can you help?
#2
05-06-2006, 02:08 PM
 Robert Fogt Administrator Join Date: Dec 2005 Location: Seattle, WA Posts: 3,467 Rep Power: 13
Re: conversion of a diameter to square feet.

PSI is pounds/square inch, so really its square inches you want.

The area of a cirlce is:

The radius is 1/2 the diameter:
15 foot / 2 = 7.5 foot

Calcuate the area:
3.14 * 7.5 * 7.5 = 176.625 square foot

Convert square feet to square inches:
176.625 square foot = 25,434 square inch

I calculate 5300 gallons as 44,230 pounds

44230 pounds / 25434 square inches = 1.74 pounds/square inch

So its 1.74 PSI
#3
02-13-2007, 10:47 AM
 Unregistered Guest Posts: n/a
Re: conversion of a diameter to square feet.

Your wrong. If you trace the diameter with a yard stick you will find that it only equals out to 12.5683. By finding that and putting it into the Fibonacci Sequence..you will find that the total PSI is roughly 1.689999... repeating of course.
#4
03-28-2009, 03:53 PM
 Unregistered Guest Posts: n/a
Re: conversion of a diameter to square feet.

Quote:
 Originally Posted by ropnjoker I'm trying to determine the footprint (PSI) of a 15 foot diameter swimming pool. To do so, I need to convert the circle into square feet (I think) then knowing that water weighs approx 8 lbs per gallon, and the capacity is 5300 gallons, I have 42,400 lsbs total. but now I need the conversion to square feet. Can you help?
You may also want to take into account that atmospheric pressure is pushing down at 14.7 lbs/sq inch.
#5
08-26-2009, 07:50 AM
 Unregistered Guest Posts: n/a
Re: conversion of a diameter to square feet.

5300 gallons x 8 lb/gallon = 42400 pounds not 42300
#6
11-24-2009, 04:31 PM
 Unregistered Guest Posts: n/a
Re: conversion of a diameter to square feet.

FYI Water is 8.34 lbs per gallon. if your using 8 lbs per gallon you will be off by a lot.
#7
04-27-2010, 07:25 AM
 Unregistered Guest Posts: n/a
Re: conversion of a diameter to square feet.

If you are looking for the psi at the bottom of this pool, you do not need to know the diamater, you only need to know the height. The diamater will tell you the total wieght of water in the pool but not psi. Take the height of water and divide it by 2.31. This will give you the psi at the bottom of the pool. If the water is 5' deep, the psi at the bottom of the pool is 2.16 psi
#8
09-25-2010, 02:11 AM
 Unregistered Guest Posts: n/a
Re: conversion of a diameter to square feet.

im attempting to figure out how many square feet a 130 foot diameter dome thats 80 feet high ( approx 3 floors ) would i use the same calculations?
#9
09-25-2010, 02:55 AM
 JohnS Moderator Join Date: Dec 2007 Location: SE Michigan, USA Posts: 9,536 Rep Power: 19
Re: conversion of a diameter to square feet.

Quote:
 Originally Posted by Unregistered im attempting to figure out how many square feet a 130 foot diameter dome thats 80 feet high ( approx 3 floors ) would i use the same calculations?
It would work for the ground floor. Because of the dome shape, the upper floors will be progressively smaller circles, and you will have to lay that out in a side view, to derive the diameter for higher floors based on ceiling height.
#10
09-25-2010, 11:21 PM
 Unregistered Guest Posts: n/a
Re: conversion of a diameter to square feet.

awesome thanx , just needed to figure that out because its confusing with the numbers a calculator will give you when you put it in making it seem hell of a lot larger

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