let us discuss the mechanism of hydraulic
lift which is also based on the applications
of pascle’s law.
in a typical hydolic lift there are, two tubes
one is very narrow tube and other is , broad
tube or more precisely we should call it broad
vessel, and at the top of the fluid filled
in other tube which are connected by, on opening
at the bottom.
these are close by two different piston say
the , cross sectional area of piston are s-one
and s-two.
now in this situation say we apply an external
force f-one, onto.
the narrow tube, say this is tube ay and this
is tube b . then we can say, just below the
piston , a pressure increment will be their.
which can be written as pressure at point
ay we can simply write as f-one by s-one.
if we find-out the pressure at the bottom
of this tube, we can simply state here pressure
at the bottom this is point say x . so pressure
at bottom at point x can be written as, f-one
by s-one plus h ro g, where h is.
the height up to which, the fluid is filled
in it and it is closed by a piston.
now in this situation we can simply state,
that at the whole bottom level or at the horizontal
level the pressure at this point will remain
same as say this point is.
y, then pressure at bottom at point y can
be simply written as f-one by s-one plus,
h ro-one g. and if other piston b. is also
at a height h above this bottom level.
then we can find-out the pressure at point
b and pressure at point b can be written as,
f-one by s-one.
plus h ro g, minus h ro g as we are moving
up, so these get cancelled out and pressure
at point b can be simply written as it is
f-one by s-one.
so if this force is increase the pressure
at point ay increases correspondingly pressure
at this point will also increase.
and this piston will experience an outward
force f-two. and the force applied by fluid
on piston b. force . by fluid.
on piston b can be given as.
f-two which is, pressure at point b multiplied
by s-two, and it can be given as f-one by
s-one into s-two.
now in this situation if s-two is taken very
very greater then s-one this implies , the
force f-two will be very very greater then
f-one.
this is the way how the force is amplified
by.
a very large value in the ray she o of the
areas.
and say some times . in, mechanical workshop,
we need to lift different cars or automobiles
which are placed onto this piston, and when
a very small longitude force is applied here
electrically , then this is able to lift the
car as the force applied by the fluid on the
piston will be many times more, this is the
basic concept of hydraulic lift which is found
in, various mechanical workshops.
