A tank with a flat bottom of area A and vertical sides is filled to a depth hwith water. The pressure is P at the top surface.(a) What is the absolute pressure at the bottom of the tank? (Use anyvariable or symbol stated above along with the following as necessary:p for the density of water and g.)P =

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Asked Nov 21, 2019
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A tank with a flat bottom of area A and vertical sides is filled to a depth h
with water. The pressure is P at the top surface.
(a) What is the absolute pressure at the bottom of the tank? (Use any
variable or symbol stated above along with the following as necessary:
p for the density of water and g.)
P =
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A tank with a flat bottom of area A and vertical sides is filled to a depth h with water. The pressure is P at the top surface. (a) What is the absolute pressure at the bottom of the tank? (Use any variable or symbol stated above along with the following as necessary: p for the density of water and g.) P =

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Expert Answer

Step 1

Given,

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Pressure acting on top = P Density of fluid -p Height of fluid h

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Step 2

Absolute pressure is the sum of atmospheric pressure and gauge pressure acting on surface. Pressure acting on top surface of tank is atmospheric pressure (P0) while gauge pressure is acting and depends on the position of surface at which pressure is acting due to fluid. Absolute pressure is mathematically expressed as follows,

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Pb = Ptm+PGauge where, Ptm Atmospheric Pressure PGauge Gauge Pressure

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Step 3

Gauge pressure acts on a body due to position of surface. Gauge p...

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PGage = Pgh where,p Density of fluid g Acceleration due to gravity h Height of bottom of tank from top surface

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