A liquid of density ρ is coming out of a hose pipe of radius a with horizontal speed v and hits a mesh. 50% of the liquid passes through the mesh unaffected. 25% looses all of its momentum and 25% com

Question

A liquid of density ρ is coming out of a hose pipe of radius a with horizontal speed v and hits a mesh. 50% of the liquid passes through the mesh unaffected. 25% looses all of its momentum and 25% comes back with the same speed. The resultant pressure on the mesh will be:

TestHub · Accepted Answer

Mass per unit time of the liquid = \rhoav Momentum per second carried by liquid = ρ a v × v Net force due to bounced back liquid, F 1 ​ = 2 × [ 4 1 ​ ρ av 2 ] Net force due to stopped liquid, F 2 ​ = 4 1 ​ pav 2 Total force, F = F 1 ​ + F 2 ​ = 2 1 ​ ρ av 2 + 4 1 ​ pav 2 = 4 3 ​ pav 2 Net pressure = 4 3 ​ ρ v 2

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