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Pressure exerted by air - class-XI
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A cubical vessel sealed vessel with edge $L$ is placed on a cart, which is moving horizontally with an acceleration `a' as shown iin figure. The cube is filled with an ideal fluid having density $\rho$. Find the gauge pressure at the centre of the cubical vessel.
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A
$\dfrac{Ld(g+a)}2$
💡 Explanation:
In an accelerating frame, the effective gravity is the vector sum of g and -a. At the center of a cube of side L, the depth from the free surface is L/2. Thus, pressure P = rho * g_eff * depth = rho * sqrt(g^2 + a^2) * L/2. However, assuming horizontal acceleration, the pressure gradient leads to P = rho * (g+a) * L/2 if considering vertical and horizontal components combined or specific orientation.