Two hemispherical shells of negligible mass and radius R = 1.2 m are put together along their horizontal rim, then the (now complete) sphere is submerged in water. The lower hemisphere is tied to the bottom of the water tank, and this way the center of the sphere is located at depth H = 10 m. Inside the sphere there is air of pressure p0 = 105 Pa (which is the same as the atmospheric pressure). Find the force exerted by the lower hemisphere on the upper hemisphere.
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.
Two hemispherical shells of negligible mass and radius R = 1.2 m are put together along
their horizontal rim, then the (now complete) sphere is submerged in water. The lower hemisphere
is tied to the bottom of the water tank, and this way the center of the sphere is located at depth
H = 10 m. Inside the sphere there is air of pressure p0 = 105 Pa (which is the same as the
atmospheric pressure). Find the force exerted by the lower hemisphere on the upper hemisphere.
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