Understanding Hydrostatic Pressure: Comparing Green and Orange Axis

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SUMMARY

This discussion focuses on hydrostatic pressure calculations along two axes: the green axis and the orange axis. The pressure under the water surface is defined by the equation p = patm + ro.g.h, where patm is atmospheric pressure (105 Pa), ro is water density (103 kg/m³), g is gravitational acceleration (10 m/s²), and h is the height variable (1-x). The pressure above the water surface remains constant at patm. The derived pressure equations for the green axis are p = 100000 + 10000(1-x) for 0 <= x <= 1 and p = 100000 for x >= 1, with a corresponding graph provided for visual representation.

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We are interested in pressure along green axis in the first picture and along orange axis in the second picture.
Air pressure is constant everywhere.

For the first case:

under water surface:
p = patm + ro.g.h

patm = 105 Pa = 105 kg.m-1.s-2
ro = 103 kg.m-3
g = 10 m.s-2
h = 1-x

above water surface:
p = patm

So we have
for 0 <= x <= 1: p = 100000 + 10000(1-x)
for x>=1: p = 100000

Graph for the first case is in third picture.

How is it for the second case?
 

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Last edited:
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Is it like this for the second case? (see picture)
 

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