A tank is filled with a liquid of density rho | vedclass

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(B) The pressure at a depth $x$ from the surface of the liquid is given by $P(x) = \rho g x$.To find the average pressure on the vertical wall of heig

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$\frac{1}{2} \rho g H$

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(B) The pressure at a depth $x$ from the surface of the liquid is given by $P(x) = \rho g x$.To find the average pressure on the vertical wall of height $H$,we integrate the pressure over the depth and divide by the total height.The total force per unit width is the integral of pressure with respect to depth: $F = \int_0^H \rho g x \, dx$.$F = \rho g \left[ \frac{x^2}{2} \right]_0^H = \frac{1}{2} \rho g H^2$.The average pressure $P_{avg}$ is defined as the total force per unit area. For a wall of height $H$ and unit width,the area is $H$. Thus,$P_{avg} = \frac{F}{H} = \frac{\frac{1}{2} \rho g H^2}{H} = \frac{1}{2} \rho g H$.

$A$ tank is filled with a liquid of density $\rho$ up to a height $H$. The average pressure on the walls of the container is:

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