Hydro static forces on curved surfaces

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SUMMARY

The discussion focuses on hydrostatic forces acting on curved surfaces, specifically addressing the concept of 'missing water' in relation to pressure calculations. According to Pascal's Law, the hydrostatic pressure on the wetted portion of the arc AB is equivalent to the pressure exerted by a column of liquid at depth h. The 'missing water' refers to a hypothetical scenario where filling the indicated region would equalize the pressure inside and outside the arc AB, resulting in no net pressure acting on it.

PREREQUISITES
  • Understanding of Pascal's Law in fluid mechanics
  • Familiarity with hydrostatic pressure concepts
  • Knowledge of curved surface dynamics in fluid applications
  • Ability to interpret fluid diagrams and pressure distributions
NEXT STEPS
  • Study hydrostatic pressure calculations for curved surfaces
  • Learn about fluid statics and its applications in engineering
  • Explore the implications of Pascal's Law in practical scenarios
  • Investigate pressure distribution in non-uniform fluid environments
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Students in engineering and physics, particularly those studying fluid mechanics, as well as professionals involved in hydraulic design and analysis of structures subjected to fluid pressures.

princejan7
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Homework Statement


http://postimg.org/image/4fhu5k9r9/

Can someone explain what is meant by 'missing water' in this solution diagram
The original question diagram had no such water above the gate AB

Homework Equations


The Attempt at a Solution

 
Last edited by a moderator:
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princejan7 said:

Homework Statement


http://postimg.org/image/4fhu5k9r9/

Can someone explain what is meant by 'missing water' in this solution diagram
The original question diagram had no such water above the gate AB

Homework Equations


The Attempt at a Solution


By Pascal's Law, the hydrostatic pressure on the wetted portion of the arc AB at a given depth h from the free surface of the liquid is the same as the pressure exerted by a column of liquid of depth h placed on the outside of the arc.

If the region indicated by 'missing water' on the diagram was filled with water, there would be no net pressure acting on the arc AB, i.e., the pressure outside the arc would be the same as the pressure inside the tank.
 
Last edited by a moderator:

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