Question

I WILL MARK YOU BRAINLIEST FOR A QUICK AND GOOD ANSWER PLEASE NO SPAM MY EXAM IS TOMORROW please can you explain to me simply WHY pressure of a fluid depends on:

Density of fluid and
Depth of fluid

...other than by the equation P = height of column x density x gravity

Thanks!

Answer 1

The pressure exerted by a static fluid depends only upon the depth of the fluid, the density of the fluid, and the acceleration of gravity.

The pressure in a static fluid arises from the weight of the fluid and is given by the expression

P static fluid = ρgh where ρ = m/V = fluid density
g = acceleration of gravity
h = depth of fluid


The most remarkable thing about this expression is what it does not include. The fluid pressure at a given depth does not depend upon the total mass or total volume of the liquid. The above pressure expression is easy to see for the straight, unobstructed column, but not obvious for the cases of different geometry which are shown.

Because of the ease of visualizing a column height of a known liquid, it has become common practice to state all kinds of pressures in column height units, like mmHg or cm H2O, etc. Pressures are often measured by manometers  in terms of a liquid column height.