A fountain with an opening of radius 0.016 m shoots a stream of water vertically from ground level at 6.0 m/s. The density of water is 1014 kg/m3. (a) Calculate the volume rate of flow of water. m3/s (b) The fountain is fed by a pipe that at one point has a radius of 0.033 m and is 2.2 m below the fountains opening. Calculate the absolute pressure in the pipe at this point. Pa (c) The fountain owner wants to launch the water 4.3 m into the air with the same volume flow rate. A nozzle can be attached to change the size of the opening. Calculate the radius needed on this new nozzle. 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 fountain with an opening of radius 0.016 m shoots a stream of water vertically from ground level at 6.0 m/s. The density of water is 1014 kg/m3.
(a) Calculate the volume rate of flow of water. m3/s
(b) The fountain is fed by a pipe that at one point has a radius of 0.033 m and is 2.2 m below the fountains opening. Calculate the absolute pressure in the pipe at this point. Pa
(c) The fountain owner wants to launch the water 4.3 m into the air with the same volume flow rate. A nozzle can be attached to change the size of the opening. Calculate the radius needed on this new nozzle. m
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