The lower portion of a vertical pipe, shown in the diagram below, has a radius of 12.0 cm until it constricts to a radius of 8.00 cm at a height of 70.0 cm above the beginning of the constriction. The bottom of the constriction has a water pressure of 100 kPa. The velocity of the water at the bottom of the constriction equals 4.00 m/s. What is the pressure of the water at the top of the constriction assuming that the flow rate is constant?
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.
![QUESTION 10
The lower portion of a vertical pipe, shown in the
diagram below, has a radius of 12.0 cm until it
constricts to a radius of 8.00 cm at a height of 70.0
cm above the beginning of the constriction. The
bottom of the constriction has a water pressure of
100 kPa. The velocity of the water at the bottom of
the constriction equals 4.00 m/s. What is the
pressure of the water at the top of the constriction
assuming that the flow rate is constant?
V2
|r2
P2----
Pipe
--y2
h
P -
y1
a. 50.5 kPa
b. 60.6 kPa
С. 37.4 kPa
d. 90.9 kPa
е. 78.3 kPa](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6d58a375-bffc-4e27-9347-d72fe4cf63fb%2F5d142cf6-abd1-43e0-8943-c06d30b3e11c%2Fxez2mpl_processed.jpeg&w=3840&q=75)
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