# Pascal's Law

Written by Jerry Ratzlaff on . Posted in Fluid Dynamics

Pascal's law states that the increase in pressure is uniformly applied in all directions in a confined fluid.

### Pascal's Law formula

$$\large{ \Delta p = \rho\; g\; h }$$

Where:

$$\large{ \Delta p }$$ = pressure differential, hydrostatic pressure between two points

$$\large{ \rho }$$  (Greek symbol rho) = density

$$\large{ g }$$ = gravitational acceleration

$$\large{ h }$$ = height of liquid column

$$\large{ p_b }$$ = pressure at bottom of column

$$\large{ p_t }$$ = pressure at top of column

Solve for:

$$\large{ \rho = \frac{p_b \;-\; p_t }{g\; h} }$$

$$\large{ g = \frac{p_b \;-\; p_t }{\rho\; h} }$$

$$\large{ h = \frac{p_b \;-\; p_t }{\rho\; g} }$$

$$\large{ p_b = p_t + p \;g\; h }$$

$$\large{ p_t = p\; g\; h - p_b }$$