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Pressure in a fluid

As opposed to a solid, for a fluid it is possible to immerse a foreign object, say a sphere, into it. The sphere makes room for itself by displacing the liquid. The liquid responds by pushing against the sphere as it attempts to re-occupy the space occupied by the sphere. The force exerted by the fluid is normal to the surface of the immersed object. The magnitude of the force per square unit of surface area is called the pressure in the fluid:
equation22
The units for pressure are thus Newton/metertex2html_wrap_inline123 which is also called Pascal:
equation26
It is interesting to not that
equation28
and thus pressure has the dimensions of energy per volume unit. Surprisingly perhaps our atmosphere is at a rather high pressure. On average the pressure at sea level is
equation30
For example as I hold out my arm horizontally the force on the upper side of the arm coming from the atmospheric pressure is approximately
equation32
Which equals the force of gravity on a mass of 255 kg. Luckily that the bottom side of our arm is subject to the same but opposite force such that we in a sense do not directly experience this large force. In fact our bodies are built to rely on the atmosphere as a compressive force. Without it we would blow up and pop as balloons and this is why astronauts and deep sea divers need special pressurized suits to operate at pressures much lower and much higher than the atmospheric pressure that they were built for.





Collin Broholm
Tue Nov 18 11:26:30 EST 1997