Air pressure in a water tank is measured by the multifluid manometer shown. Atmospheric pressure is 85.6 kPa. Given h₁ = 0.10 m, h₂ = 0.20 m, h₃ = 0.35 m; densities: water 1000 kg m⁻³, oil 850 kg m⁻³, mercury 13600 kg m⁻³. Find the tank-air pressure. Image
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Question

Air pressure in a water tank is measured by the multifluid manometer shown. Atmospheric pressure is 85.6 kPa. Given h₁ = 0.10 m, h₂ = 0.20 m, h₃ = 0.35 m; densities: water 1000 kg m⁻³, oil 850 kg m⁻³, mercury 13600 kg m⁻³. Find the tank-air pressure. Image

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G1 Physics · Accepted Answer

Step 1: Use continuity A₁v₁ = A₂v₂ and Bernoulli's equation P + ½ρv² + ρgh = constant; for jets use momentum flux ṁΔv. Step 2: Substitute the stated areas, levels and pressures, including Torricelli v = √(2gh) where applicable. Applying these relations to the given data gives A: Pₐₜₘ. Final answer: A.