9.2.1 Pascal’s Law Visualization

Pascal's Law Fluid Pressure Simulation

Pascal's Law Demonstration

This simulation demonstrates Pascal's Law, which states that pressure in a fluid at rest is the same at all points at the same height. Observe how the pressure remains equal on all faces of the prismatic fluid element regardless of orientation.

Pressure on Face A
100 kPa
Pressure on Face B
100 kPa
Pressure on Face C
100 kPa

Pascal's Law Principle

Pascal's Law states that pressure in a fluid at rest is the same at all points if they are at the same height. In this simulation:

Fₐ = Fᵦ·cosθ
F꜀ = Fᵦ·sinθ

But since pressure = force/area, and the areas relate as:

Aₐ = Aᵦ·cosθ
A꜀ = Aᵦ·sinθ

Therefore, the pressure on all faces is equal:

Pₐ = Pᵦ = P꜀

This demonstrates that pressure in a fluid at rest is isotropic - it acts equally in all directions at any given point.

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