# Pascal's Law

Written by Jerry Ratzlaff on . Posted in Fluid Mechanics

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

## formula

$$\Delta p = \rho g h \;$$

Where:

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

$$\rho$$ (Greek symbol rho) = density

$$g$$ = gravity or gravitational acceleration

$$h$$ = height or height of liquid column

$$p_b$$ = pressure at bottom of column

$$p_t$$ = pressure at top of column

Solve for:

$$p_b = p_t \;+\; p g h$$

$$p_t = p g h \;-\; p_b$$

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

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

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