A storage tower supplies water, as shown in the figure. If P 0 is the atmospheric pressure h = height of water level, g = acceleration due to gravity, ρ = density and v = velocity of flow in the horizontal pipe at B , then the pressure at B is -

Question

A storage tower supplies water, as shown in the figure. If P 0 is the atmospheric pressure h = height of water level, g = acceleration due to gravity, ρ = density and v = velocity of flow in the horizontal pipe at B , then the pressure at B is -, P 0, P 0 + ρ g h, P 0 + ρ g h + 1 2 ρ v 2, P 0 + ρ g h – 1 2 ρ v 2

MARKS App · Accepted Answer

Consider the streamline connecting A and B. Then P A + ρ g y A + 1 2 ρ v A 2 = P B + ρ g y B + 1 2 ρ v B 2 Since P A = P 0 , y A = h , y B = 0 , V B = v and V A is negligible (in fact V A = d 2 v and v A is negligible) in fact V A = d 2 v B D 2 , d D , V A is negilgible ∴ P B = P 0 + ρ g h - 1 2 ρ v 2

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