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.
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.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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