How to Calculate Hydrostatic Force and Center of Pressure on a Gate?

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SUMMARY

This discussion focuses on calculating the hydrostatic force and the center of pressure on a gate submerged under 3 meters of water. The key equation for determining the location of the center of pressure is provided: Ycenter pressure = yc + (Ixc + sin²θ / A * yc). Participants are encouraged to share their calculations to facilitate assistance in solving the problem effectively.

PREREQUISITES
  • Understanding of hydrostatic pressure principles
  • Familiarity with the concept of center of pressure
  • Knowledge of relevant equations in fluid mechanics
  • Basic algebra for solving equations
NEXT STEPS
  • Research hydrostatic pressure calculations in fluid mechanics
  • Study the derivation of the center of pressure formula
  • Explore applications of hydrostatic force in engineering design
  • Learn about the effects of liquid repellency on pressure calculations
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Students in physics or engineering courses, particularly those focusing on fluid mechanics, as well as professionals involved in hydraulic design and analysis.

salomatik
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Homework Statement



ques.png


The question asks to find the pressure force on the gate

A-) centered on a tanker under 3m of water sector and on the cover plate is manufactured to calculate the net hydrostatic force.
B-) Determine the location of the center of pressure.
(With seal liquid repellency is provided.)

Homework Equations





The Attempt at a Solution


 
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Hello Salomatik,

Welcome to Physics forums.

Could you show your working so that we can help where you are stuck?
 
Hello
This is my solution but i don't know location of the center of pressure?

IWhich formule location of center of pressure?

Ycenter pressure= yc+ (Ixc+sin^2θ /A*yc) ?

quest.jpg

Thank you.
 

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