Fluid Mechanics
3.0 Pascal's law
3.0 Pascal's law
It states that pressure applied to an enclosed fluid is transmitted undiminished to every portion of the fluid and to the walls of the containing vessel.
Application of Pascal's law
1. Hydraulic lift
2. Hydraulic brakes
3.0.1 Hydraulic lift
It is a device which is used to lift heavy objects.
A force $F_1$ is exerted on the small piston with cross-sectional area $A_1$ as shown in the figure.
So, the pressure applied at the piston is, $$P = \frac{{{F_1}}}{{{A_1}}}$$
The pressure $P$ is transmitted through the connecting pipe to a larger piston of area $A_2$$$\begin{equation} \begin{aligned} {F_2} = P{A_2} \\ {F_2} = {F_1}\left[ {\frac{{{A_2}}}{{{A_1}}}} \right] \\\end{aligned} \end{equation} $$ or $$\frac{{{F_2}}}{{{F_1}}} = \frac{{{A_2}}}{{{A_1}}}$$
