Pascal law of fluids

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Homework Statement



a water filled symetrical container has four pistons , one on each side of area A to keep water in equilibrium

Now an additional force F is applied to all four pistons . then increase in pressure at the middle of container will be:

Homework Equations


pascal law: change is pressure is transmitted to whole fluid

The Attempt at a Solution


since F is applied from four sides so pressure should have been 4F/A but the solution says F/A
 

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  • #2
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What's the definition of pressure?
 
  • #3
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Perpendicular force per unit area..
 
  • #4
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Now apply that definition to the problem.
 
  • #5
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but the force is from all sides so either vector sum should be 0
or if add as scalar it should be 4F/A...
but the answer is only F/A
 
  • #6
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The force is being applied to a fluid, not a solid. What happens when you stand on a water balloon?
 
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can you give a more detailed reply to this question....
 
  • #8
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Perpendicular force per unit area..
but the answer is only F/A
4F/4A is the same thing as F/A. If we're discussing pressure as a thermodynamic variable, it's what is called an intensive variable, independent of the size of a system. Mathematically, it's a scalar. Force has a direction, yes; force per unit area has no direction. Pressure times area has a direction. The scalar-vector conflict may be what's confusing you. Stick with it, and we'll sort it out for you.
 
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