Understanding Hydrostatic Pressure: Comparing Green and Orange Axis

In summary, hydrostatic pressure is the force exerted by a fluid at rest on an object or surface in contact with it. The green axis refers to the vertical direction, while the orange axis refers to the horizontal direction. The pressure exerted by a fluid is generally greater in the vertical direction compared to the horizontal direction. Objects submerged in a fluid experience hydrostatic pressure due to the weight of the fluid above them, which can cause them to compress or collapse. Hydrostatic pressure can be calculated using the equation P = ρgh. Understanding hydrostatic pressure is important in various fields such as engineering, physics, and geology, as it allows us to design structures, predict fluid behavior, and study movement in the Earth's crust.
  • #1
azerbajdzan
15
0
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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  • #2
Is it like this for the second case? (see picture)
 

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FAQ: Understanding Hydrostatic Pressure: Comparing Green and Orange Axis

1. What is hydrostatic pressure?

Hydrostatic pressure is the force exerted by a fluid at rest on an object or surface in contact with it.

2. What are the differences between green and orange axis in terms of hydrostatic pressure?

The green axis refers to the vertical direction, while the orange axis refers to the horizontal direction. In terms of hydrostatic pressure, the pressure exerted by a fluid is generally greater in the vertical direction compared to the horizontal direction due to the weight of the fluid above it.

3. How does hydrostatic pressure affect objects submerged in a fluid?

Objects submerged in a fluid experience hydrostatic pressure due to the weight of the fluid above them. This pressure increases with depth, and can cause objects to compress or collapse if they are not strong enough to withstand it.

4. Can hydrostatic pressure be calculated?

Yes, hydrostatic pressure can be calculated using the equation P = ρgh, where P is the pressure, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the depth of the fluid.

5. How does understanding hydrostatic pressure benefit us?

Understanding hydrostatic pressure is important in various fields such as engineering, physics, and geology. It allows us to design structures that can withstand the pressure of fluids, predict the behavior of fluids in different environments, and study the movement of fluids in the Earth's crust.

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