Pascal's Principle - Example 1

Example 1:
In a hydraulic system the large piston has a cross-sectional area A₂ = 200 cm² and the small piston has cross-sectional area A₁ = 5 cm². If a force of 250 N is applied to the small piston, what is
a. the pressure exerted on the small piston
b. the force F, produced on the large piston?

Answer:

a. Pressure exerted on the small piston
$$P=\frac{F}{A}=\frac{250}{5}=50N/c{m}^2$$
b. Pressure exerted on the large piston = Pressure exerted on the small piston
$$\begin{array}{l}P=\frac{F}{A}\\ (50)=\frac{F}{(200)}\\ F=10,000N\end{array}$$