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Atmospheric Pressure

What force do...

Question

What force does water exert on the base of a house tank of base area $1.5 m^{2}$ when it is filled with water up to a height of 1 m?
[Density of water is $10^{3} k g m^{- 3}$ and $g = 10 m s^{- 2}]$

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Solution

Given, base area of tank (A) $= 1.5 m^{2}$
Height of the tank $= 1 m$
Density of water (D) $= 10^{3} k g m^{- 3}$
Force executed by water
$= p r e s s u r e \times a r e a$
$= h d g \times A$
$= 1 \times 10^{3} \times 10 \times 1.5$
$= 1.5 \times 10^{4} N$

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