Fluid MechanicsHard
Question
Water is filled up to a height h in a beaker of radius R as shown in the figure. The density of water is ρ, the surface tension of water is T and the atmospheric pressure is P0. Consider a vertical section ABCD of the water column through a diameter of the beaker. The force on water on one side of this section by water on the other side of this section has magnitude
Options
A.|2P0Rh + πR2ρgh - 2RT|
B.|2P0Rh + Rρgh2 - 2RT|
C.|P0πR2 + Rρgh2 - 2RT|
D.|P0πR2 + Rρgh2 + 2RT|
Solution
(P0 + ρgx) 2Rdx - 2RT = F2P0Rh + Rρgh2 - 2RT = F
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