First slide

Pressure in a fluid-mechanical properties of fluids

Question

A closed rectangular vessel completely filled with a liquid of density $ρ$ moves with an acceleration a = g. The value of the pressure difference at point A and B i.e., (P₁ - P₂)
is

Moderate

A

$ρ g h / 2$
B

$ρ g (b - h)$
C

$ρ g h$
D

$\frac{ρ g (b + h)}{2}$

Solution

$Let pressure at the opening be P_{0} . Then,$
$P_{1} = P_{o} + ρ g b while P_{2} = P_{o} + ρ g h P_{3} = P_{o} + ρ g h + ρ g b$
$Subtracting, P_{1} - P_{2} = ρ g (b - h)$

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