A water intake at a pump storage reservoir (the gure) has a cross-sectional area of 0.717 m2. The water ows in at a speed of 0.546 m/s. At the generator building, at a distance of D=167 m below the intake point, the cross-sectional area is smaller than at the intake, and the water ows out at 9.46 m/s. What is the cross-sectional area at the outlet and what is the difference in pressure between inlet and outlet? Neglect any considerations of viscosity in this problem.
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.
A water intake at a pump storage reservoir (the gure) has a cross-sectional area of 0.717 m2. The water ows in at a speed of 0.546 m/s. At the generator building, at a distance of D=167 m below the intake point, the cross-sectional area is smaller than at the intake, and the water ows out at 9.46 m/s. What is the cross-sectional area at the outlet and what is the difference in pressure between inlet and outlet? Neglect any considerations of viscosity in this problem. Answer both parts of the question and show all work. Look at the image fot context.
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