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Pressure
Pressure of fluid molecules
In the animation at the
previous page
we may have noticed that the molecules collide with the wall of the vessel
in all possible directions.
Nevertheless, the momentum transfer in every collision is always
perpendicular to the wall.
The momentum transfer in each collision results in a force on the wall,
the reaction force to the force the wall has to give to the molecule
in order to to change its direction (not its speed by conservation
of mechanical energy).
Indeed, Newton's law
of inertia
says that an object in motion
continues in motion with the same speed and in the same direction
unless acted upon by an unbalanced force,
whereas Newton's
third law states that for every action
there is an equal and opposite re-action.
As a consequence the wall expierences a
force perpendicular to it
which results from the countless number of collisions per second
with the molecules of the fluid.
The sum of the forces F
of all the molecules impacting on the wall
divided by the area S of the wall is defined
to be the pressure
P:
P = F/S
Pressure
has units
units of pressure = force/area = N/m2
= Pa (Pascal)
fluid pressure