. (6413 #5 p. 351) A water tank is in the shape of a cone with the vertex down (Just like a cone of ice cream). The cone is 15 feet deep and the radius of the top is 10 feet. The cone is full of salt water with a density of 63 pounds per cubic foot. Setup, but do not evaluate, an integral which would give the work done in pumping all the water to a level 4 feet above the top of the cone. The amount of work done is 244,125 π foot-
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.
2. (6413 #5 p. 351) A water tank is in the shape of a cone with the vertex down (Just like a cone of
ice cream). The cone is 15 feet deep and the radius of the top is 10 feet. The cone is full of salt water
with a density of 63 pounds per cubic foot. Setup, but do not evaluate, an integral which would give
the work done in pumping all the water to a level 4 feet above the top of the cone. The amount of
work done is 244,125 π foot-pounds.
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