A woman is draining her fish tank by siphoning the water into an outdoor drain, as shown in Figure P14.74. The rectangular tank has footprint area A and depth h. The drain is located a distance d below the surface of the water in the tank, where d >> h. The cross-sectional area of the siphon tube is A’. Model the water as flowing without friction. (a) Show that the time interval required to empty the tank is given by (b) Evaluate the time interval required to empty the tank if it is a cube 0.500 m on each edge, if A’ = 2.00 cm2, and d = 10.0 m.
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 woman is draining her fish tank by siphoning the water into an outdoor drain, as shown in Figure P14.74. The rectangular tank has footprint area A and depth h. The drain is located a distance d below the surface of the water in the tank, where d >> h. The cross-sectional area of the siphon tube is A’. Model the water as flowing without friction. (a) Show that the time interval required to empty the tank is given by (b) Evaluate the time interval required to empty the tank if it is a cube 0.500 m on each edge, if A’ = 2.00 cm2, and d = 10.0 m.
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