Hydraulic brakes and presses
These are useful ways that the pressure in a
liquid can be used. Many cars, and even some mountain bikes, have hydraulic brakes where
a small force on a small cylinder can give a large force at the other end of a larger cylinder.
(Figure 1)

The important
fact to remember is that the pressure throughout the liquid must be the same and so the
pressure in the bigger cylinder (F/A) must be equal to the pressure in the little cylinder
(f/a).
Therefore:

This means that because the larger cylinder has
a much bigger cross sectional area than the smaller cylinder the force on this cylinder (F) is
much greater than that on the small cylinder – it acts as a sort of force
magnifier!The great power of hydraulics can be seen if you watch a skip being hauled up onto a lorry by a hydraulic lift.
The hydraulic press and jack
Another useful
application of the force magnifying action of liquid pressure is the hydraulic jack or hydraulic
press (Figure 2).

The pressure exerted
by the force on the small piston on the left of the diagram is transmitted through the liquid.
This means that large objects can be lifted by the cylinder on the right or large forces can be
exerted on object held beneath the top plate as shown by the hydraulic press in Figure 2.

The
hydraulic brake