First slide

Pressure in a fluid-mechanical properties of fluids

Question

A sealed tank containing a liquid of density $ρ$ moves with horizontal acceleration a as shown in the figure. The difference in pressure between two points A and B will be

Moderate

A

$h ρ g$
B

$l ρ g$
C

$h ρ g + l ρ a$
D

$h ρ g - l ρ a$

Solution

The points A and C are in same horizontal level
$hence P_{C} - P_{A} = ρ a l$
(refer to figure in question to identify A, B, C)
$Now, P_{B} - P_{C} = ρ g h$
$\Rightarrow P_{B} = (P_{A} + ρ a l) + ρ g h \Rightarrow P_{B} - P_{A} = h ρ g + l ρ a$

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