9. A new water fountain has been installed outside of city hall. It is powered via a water tower that has its water level at a height of 14 m. Before the fountain is ceremonially turned on the pipe leading to the central fountain is closed. Assume that the water tower is wide enough that the level of the water does not drop significantly when the fountain is in use and that the tower is open to the air. a. What is the pressure in the pipe at the base of the fountain before it is opened? b. After the fountain is opened what is the speed of the water as it leaves the central pipe? c. How high will the water from the water fountain reach before falling back to the ground?
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.
9. A new water fountain has been installed outside of city hall. It is powered via a water tower that has its water level at a height of 14 m. Before the fountain is ceremonially turned on the pipe leading to the central fountain is closed. Assume that the water tower is wide enough that the level of the water does not drop significantly when the fountain is in use and that the tower is open to the air.
a. What is the pressure in the pipe at the base of the fountain before it is opened?
b. After the fountain is opened what is the speed of the water as it leaves the central pipe?
c. How high will the water from the water fountain reach before falling back to the ground?
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