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?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter15: Fluids
Section: Chapter Questions
Problem 54PQ: Liquid toxic waste with a density of 1752 kg/m3 is flowing through a section of pipe with a radius...
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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
Transcribed Image Text: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
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