5. Find the WORK done to empty a tank with a (equilateral) triangular base 12 ft on a side and 20 ft high, which is filled up to 12 feet. The liquid in the tank has peculiar properties. The density of the liquid increases linearly according to the depth of the liquid. The top of the liquid has weight density is 40 Ibs/ft³ and it increases linearly until the bottom, where it is 100 Ibs/ft³ (The liquid is moved up and over the top.). Express your answer in exact form and approximate form to the nearest whole number.
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.
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