Fluid Pressure & Force Calculus 2

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SUMMARY

The discussion focuses on calculating the total force exerted on vertical windows of a submerged marine biology observation pod, utilizing fluid pressure principles. The density of water is specified as 1000 kg/m³, and the final force calculated by the professor is 11099.9 N. Participants confirm that integration is necessary to accurately determine the total force due to varying water pressure with depth. The need for clarity in the integration process is emphasized to resolve discrepancies in individual calculations.

PREREQUISITES
  • Understanding of fluid mechanics principles, specifically hydrostatic pressure.
  • Knowledge of integration techniques for calculating area under curves.
  • Familiarity with the concept of pressure variation with depth in fluids.
  • Basic proficiency in calculus, particularly in applying integrals to real-world problems.
NEXT STEPS
  • Study the principles of hydrostatic pressure in fluids.
  • Learn integration techniques specifically for calculating forces on submerged surfaces.
  • Research applications of fluid dynamics in marine biology contexts.
  • Explore examples of calculating forces on irregular shapes using integration.
USEFUL FOR

Students in engineering or marine biology, educators teaching fluid mechanics, and professionals involved in underwater design projects will benefit from this discussion.

Gon
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Homework Statement


A marine biology observation pod is being designed. It will be submerged, with vertical windows of various sizes and shapes. Calculate the total force being exerted on each of the windows described below. Density of water is 1000 kg/m^3

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[h2]Homework Equations[/h2][h2]The Attempt at a Solution[/h2]
I'm not sure if I'm doing it in right way, do I need to use integration to calculate the total force?
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Last edited by a moderator:
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How does the water pressure vary with depth ?

Is the water pressure acting on the windows varying with depth ?
 
Last edited:
Nidum said:
How does the water pressure vary with depth ?

Is the water pressure acting on the windows varying with depth ?
YES
 
I solve all of them except F and the professor said the final answer should be 11099.9N but I didn't get that
 
Gon said:
I solve all of them except F and the professor said the final answer should be 11099.9N but I didn't get that
You mean you that think your answer to (a) is correct?
 
Chestermiller said:
You mean you that think your answer to (a) is correct?
No, I use integration to solve them.
 
Gon said:
No, I use integration to solve them.
So please show us what you did using integration to solve F (so we can see where to help).
 

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