Water flows through a horizontal pipe with a narrow constriction in the middle, as shown in the diagram. Most of the pipe has a cross-sectional area of A1= 1m?. There is a standpipe over the constriction that is open to the atmosphere at the top; the water in the standpipe is not moving. You may assume that there is no viscosity for all parts of this problem. a) If water is entering the left side of the pipe at a rate of B= 2m³/s, then what is the speed vi of the water at this point in the pipe? (This is position 1 in the diagram) b) If the height of the column of water in the standpipe is h= 3m, then what is the pressure near the bottom of the standpipe? (Position 3 in the diagram) Give your answer in gauge pressure. c) If the gauge pressure at the left of the pipe where water enters is P1= 60000N/m², then what is the cross- sectional area Az inside the constricted part of the pipe? (Position 2 in the diagram) d) How fast v2 is the water moving through the constricted part of the pipe? e) What is the kinetic energy of all the water moving through a d= 2m wide section of pipe at the left of the diagram where the water is entering the pipe? stand pipe >
Water flows through a horizontal pipe with a narrow constriction in the middle, as shown in the diagram. Most of the pipe has a cross-sectional area of A1= 1m?. There is a standpipe over the constriction that is open to the atmosphere at the top; the water in the standpipe is not moving. You may assume that there is no viscosity for all parts of this problem. a) If water is entering the left side of the pipe at a rate of B= 2m³/s, then what is the speed vi of the water at this point in the pipe? (This is position 1 in the diagram) b) If the height of the column of water in the standpipe is h= 3m, then what is the pressure near the bottom of the standpipe? (Position 3 in the diagram) Give your answer in gauge pressure. c) If the gauge pressure at the left of the pipe where water enters is P1= 60000N/m², then what is the cross- sectional area Az inside the constricted part of the pipe? (Position 2 in the diagram) d) How fast v2 is the water moving through the constricted part of the pipe? e) What is the kinetic energy of all the water moving through a d= 2m wide section of pipe at the left of the diagram where the water is entering the pipe? stand pipe >
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Make sure to consider all parts of the problem with detail and accuracy. Please show your work and explain. Thank you!
Transcribed Image Text:Water flows through a horizontal pipe with a narrow constriction in the middle, as shown in the diagram.
Most of the pipe has a cross-sectional area of A1= 1m?. There is a standpipe over the constriction that is open
to the atmosphere at the top; the water in the standpipe is not moving. You may assume that there is no
viscosity for all parts of this problem.
a) If water is entering the left side of the pipe at a rate of B= 2m³/s, then what is the speed vi of the water at
this point in the pipe? (This is position 1 in the diagram)
b) If the height of the column of water in the standpipe is h= 3m, then what is the pressure near the bottom
of the standpipe? (Position 3 in the diagram) Give your answer in gauge pressure.
c) If the gauge pressure at the left of the pipe where water enters is P1= 60000N/m², then what is the cross-
sectional area Az inside the constricted part of the pipe? (Position 2 in the diagram)
d) How fast v2 is the water moving through the constricted part of the pipe?
e) What is the kinetic energy of all the water moving through a d=
2m wide section of pipe at the left of the diagram where the water
is entering the pipe?
stand
pipe >
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