Answer to Question #161010 in Mechanics | Relativity for Ermus Ken

Question

1. Why does water pressure increase with depth?

2. Does pressure depend on density?

Answer 1

$p=\frac{F}{S}\text{ where}$

$F- \text{weight of the fluid column above the body}$

$F=mg$

$m= V\rho \text{ where }$

$\rho-\text{fluid density}$

$V - \text{liquid column volume, calculated as the volume of a straight cylinder}$

$V=Sh$

$h - \text{cylinder height or otherwise immersion depth}$

$p=\frac{F}{S}=\frac{mg}{S}=\frac{V\rho{g}}{S}=\frac{\rho{gh}}{Sh}=\rho{gh}$

$p=\rho{gh}\ (1)$

$1. \text{from the formula } p=\rho{gh}\text{ follow the increase in pressure with depth}$

$2. \text{from the formula } p=\rho{gh}\text{ pressure is directly proportional to fluid density}$