Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
There are two cans of food are sitting on a kitchen counter. The same pressure is exerted on the table by each of the weights of the cans; however the cans are not identical and the densities of the contents are not identical. The radius of can 1 is r1 = 0.035 m and the radius of can 2 is r2 = 0.025 m. The density of can 1 is ρ1 = 850 kg/m3, the density of can 2 is ρ2 = 1040 kg/m3, and the height of can 1 is h1 = 0.14 m.
r1 = 0.035 m
r2 = 0.025 m
ρ1 = 850 kg/m3
ρ2 = 1040 kg/m3
h1 = 0.14 m
a.Write an expression for the pressure P1 exerted on the table by can 1 in terms of its density, height, and gravity.
b.Write an expression for the pressure P2 exerted on the table by can 2 in terms its density, height, and gravity.
c.Write an expression for h2 in terms of ρ1, ρ2, and h1.
d.Solve for h2 in meters.
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