Talk:PlanetPhysics/Hydrostatic Pressure

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By the {\em hydrostatic pressure} $p$ inside a liquid at a certain point is meant the force $F$ acted by the liquid perpendicularly on a test surface in the point divided by the area $A$ of the test surface: $$p := \frac{F}{A}$$

\begin{itemize} \item The hydrostatic pressure is independent on the direction of the test surface. \item The hydrostatic pressure does not depend on the form of the vessel containing the fluid. \item The total force caused by the hydrostatic pressure on a horizontal area $A$ is same as the weight of the liquid column, which has the bottom $A$ and the height equal to the vertical distance $h$ of $A$ from the free surface of the liquid.\, This is the {\em hydrostatic paradox}.\,Thus, $$p = \frac{\varrho Ah\cdot g}{A} = \varrho hg,$$ where $\varrho$ is the density of the liquid and $g$ the \htmladdnormallink{acceleration}{http://planetphysics.us/encyclopedia/Acceleration.html} due to gravity. \end{itemize}

The above laws have been discovered and experimentally proved by Simon Stevin (1548--1620).

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