Why does water pressure only depend on the height of the water column?

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And not on the amount/weight of the water in let’s say a conical container?

In: Physics

3 Answers

Anonymous 0 Comments

By definition, pressure is force per unit area. The weight/ mass are the major contributors to pressure on an area but you have to see what area it is contributing on. Let’s take your conical tank as an example. Which is shaped like a funnel with the smaller cross section on the bottom. At the exit area, the pressure the water will be carrying will be weight of the water above that area divided by the area of the cross section. Since the weight of water is directly dependant on the area and you’re dividing it with the area you’re left with just height of the column in the equation with other constants.

The weight of water in the conical section of the water vertically downwards is supported by the conical tank upwards since it exerts pressure on tank walls as well. Hence the only weight you’re left with is the weight of the water directly above the area you’re considering. And that’ll be a cylinder.

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