In a factory pipeline, the water speed at a certain point A is 2.30 m/s and the gauge pressure is 5.00×10^4 Pa. The pipe diameter at this point is 2.50 cm. A second point B in the pipeline is 11.8 m below, and there is no branching in the line between A and B. The diameter of the pipe at point B is 4.8 cm. The density of water is 1000 kg/m^3. a)Calculate the speed of the water at point B. b) Calculate the gauge pressure in the pipe at point B.
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.
In a factory pipeline, the water speed at a certain point A is 2.30 m/s and the gauge pressure is 5.00×10^4 Pa. The pipe diameter at this point is 2.50 cm. A second point B in the pipeline is 11.8 m below, and there is no branching in the line between A and B. The diameter of the pipe at point B is 4.8 cm. The density of water is 1000 kg/m^3.
a)Calculate the speed of the water at point B.
b) Calculate the gauge pressure in the pipe at point B.
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