Guage Pressure, force, and displacement help

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SUMMARY

The discussion focuses on calculating gauge pressure using the formula P = ρgh, where ρ is the density of water (1000 kg/m³), g is the acceleration due to gravity (10 m/s²), and h is the height of the water column (0.1 m). The user initially calculates the pressure as 1000 N/m² but is unsure about the interpretation of this value. The conversation emphasizes understanding the forces acting on a submerged block, including the downward force from water pressure on the top and the upward force on the bottom, leading to the net force direction.

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  • Understanding of fluid mechanics principles
  • Familiarity with the concepts of pressure and force
  • Knowledge of basic physics equations, specifically P = ρgh
  • Ability to perform unit conversions and calculations involving SI units
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  • Study the concept of hydrostatic pressure in fluids
  • Learn about buoyancy and Archimedes' principle
  • Explore applications of pressure calculations in real-world scenarios
  • Investigate the relationship between pressure, force, and area in different contexts
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Landlocked26
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If someone could please help with the attached assignment. I am having trouble getting started with this and cannot find a suitable answer online by myself. I am trying to do part A first and then work from there but I feel like I am wrong.

A.
P=rho*g*h
P=1000 kg/m3 * 10 m/s2 * .1m
P=

I am not getting what I am supposed to come up with when I multiply these. I think it is
1000 N/m2.
 

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Landlocked26 said:
If someone could please help with the attached assignment. I am having trouble getting started with this and cannot find a suitable answer online by myself. I am trying to do part A first and then work from there but I feel like I am wrong.

A.
P=rho*g*h
P=1000 kg/m3 * 10 m/s2 * .1m
P=

I am not getting what I am supposed to come up with when I multiply these. I think it is
1000 N/m2.
The gauge pressure is the pressure due to the water. That pressure is a function only of the depth: [itex]P = F/A = \rho gh[/itex]. You have calculated the pressure on the top of the block. What is the pressure on the bottom?

What is the downward force on the top of the block due to water pressure (use pressure x area to find force)? What is the upward force on the bottom? What is the net force? What direction is the net force? (up or down?).

AM
 

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