A circular, downward water jet impacts a horizontal plate as shown in the figure below. The exit velocity from the pipe is Vo=1.5 m/s and the diameter of the jet flow D=15 mm. Neglect the frictional force. Assume the flow is symmetric regarding to the centerline of the jet. Y L X D=15 mm h F Vo=1.5 m/s a. Derive the expression for the velocity in the jet at a distance h from the exit. (Note: there is O gage pressure at the exit) b. Explain why the cross-sectional area decreases with increased h. c. Draw a control volume that can be used to analyze F. d. Express the force required to hold the plate (neglect the weight of the plate and the water on the plate). e. Evaluate the force for h=1.5 m.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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1. A circular, downward water jet impacts a horizontal plate as shown in the figure below. The exit velocity
from the pipe is Vo=1.5 m/s and the diameter of the jet flow D-15 mm. Neglect the frictional force.
Assume the flow is symmetric regarding to the centerline of the jet.
X
D=15 mm
h
F
LL
Vo=1.5 m/s
a. Derive the expression for the velocity in the jet at a distance h from the exit. (Note: there is O gage
pressure at the exit)
b. Explain why the cross-sectional area decreases with increased h.
c. Draw a control volume that can be used to analyze F.
d. Express the force required to hold the plate (neglect the weight of the plate and the water on the
plate).
e. Evaluate the force for h=1.5 m.
Transcribed Image Text:1. A circular, downward water jet impacts a horizontal plate as shown in the figure below. The exit velocity from the pipe is Vo=1.5 m/s and the diameter of the jet flow D-15 mm. Neglect the frictional force. Assume the flow is symmetric regarding to the centerline of the jet. X D=15 mm h F LL Vo=1.5 m/s a. Derive the expression for the velocity in the jet at a distance h from the exit. (Note: there is O gage pressure at the exit) b. Explain why the cross-sectional area decreases with increased h. c. Draw a control volume that can be used to analyze F. d. Express the force required to hold the plate (neglect the weight of the plate and the water on the plate). e. Evaluate the force for h=1.5 m.
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