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      • The average pressure P¯¯¯¯ P ¯ due to the weight of the water is the pressure at the average depth h¯ h ¯ of 40.0 m, since pressure increases linearly with depth. Solution for (a) The average pressure due to the weight of a fluid is P¯¯¯¯ = ρgh¯. P ¯ = ρ g h ¯.
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  2. Oct 21, 2024 · The average pressure \(\overline{P}\) due to the weight of the water is the pressure at the average depth \(\bar{h}\) of 40.0 m, since pressure increases linearly with depth. Solution for (a) The average pressure due to the weight of a fluid is

  3. Thus Equation \ref{eq10} represents the pressure due to the weight of any fluid of average density \(\rho\) at any depth \(h\) below its surface. For liquids, which are nearly incompressible, this equation holds to great depths.

  4. The average pressure p due to the weight of the water is the pressure at the average depth h of 40.0 m, since pressure increases linearly with depth. The force exerted on the dam by the water is the average pressure times the area of contact, F = pA.

  5. Thus the equation P = hρg P = h ρ g represents the pressure due to the weight of any fluid of average density ρ ρ at any depth h h below its surface. For liquids, which are nearly incompressible, this equation holds to great depths.

  6. Thus the equation \ (P=\mathrm {h\rho g}\) represents the pressure due to the weight of any fluid of average density \ (\rho \) at any depth \ (h\) below its surface. For liquids, which are nearly incompressible, this equation holds to great depths.

  7. The average pressure p due to the weight of the water is the pressure at the average depth h of 40.0 m, since pressure increases linearly with depth. The force exerted on the dam by the water is the average pressure times the area of contact, F = p A .

  8. The average pressure[latex]\boldsymbol{\bar{P}}[/latex]due to the weight of the water is the pressure at the average depth[latex]\boldsymbol{\bar{h}}[/latex]of 40.0 m, since pressure increases linearly with depth.

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