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A column of water 2.31 feet high exert a pressure of 1 pound per square inch How much pressure does a column of water 47 feet high exert?
Wiki User
∙ 15y ago
P = rho x g x H
rho = density
g = acceleration due to gravity
H = height
Take care with the consistency of units! The answer should be approximately 1.5 Bar, 150 kPa, or 22 psi.
Wiki User
∙ 14y ago
Wiki User
∙ 15y agoUsing the Hydrostatic Pressure equation, we assume the following equation/values because we must convert "feet" and "psi" into more scientifically-friendly units.
# P = pgh # ## where P = hydrostatic pressure in Pascals ## p = density of the fluid (kg/m3) ## g = the acceleration due to gravity = 9.8 (m/s2) ## h = height of the fluid (m)
The first half of the question results in the following equation
P = pgh = 1 x 9.8 x .704 = 6.9 kPa (kilopascals or 1 x 103 Pascals)
* Notice, 2.31 feet is .704 meters
** Also notice that this is true for the definition of a Pascal (1 psi = 6.9 kPa)
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Extrapolate this for a column of 47 feet (14.3256 meters) high, and you get:
P = pgh = 1 x 9.8 x 14.3256 = 140.39 kPa = 20.346 psi
Hopefully I didn't mess up my units too bad (I omitted them here for simplicity's sake!)
Good luck!
Wiki User
∙ 12y agoFor the water alone its 17.34 psi, dont forget the air pressure on top of it.
Wiki User
∙ 13y ago566
Anonymous
108.5
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What is the formula for Psi?
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