The figure shows a stream of water flowing through a hole at depth h = 11.5 cm in a tank holding water to height H = 40.8 cm. (a) At what distance x does the stream strike the floor? (b) At what depth should a second hole be made to give the same value of x? (c) At what depth should a hole be made to maximize x?

Principles of Physics: A Calculus-Based Text
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Chapter15: Fluid Mechanics
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The figure shows a stream of water flowing through a hole at depthh = 11.5 cm in a tank holding water to height H = 40.8 cm. (a) At
what distance x does the stream strike the floor? (b) At what depth should a second hole be made to give the same value of x? (c) At
what depth should a hole be made to maximize x?
Transcribed Image Text:The figure shows a stream of water flowing through a hole at depthh = 11.5 cm in a tank holding water to height H = 40.8 cm. (a) At what distance x does the stream strike the floor? (b) At what depth should a second hole be made to give the same value of x? (c) At what depth should a hole be made to maximize x?
Models of torpedoes are sometimes tested in a horizontal pipe of flowing water, much as a wind tunnel is used to test model
airplanes. Consider a circular pipe of internal diameter 21 cm and a torpedo model aligned along the long axis of the pipe. The model
has a 5.7 cm diameter and is to be tested with water flowing past it at 2.7 m/s. (a) With what speed must the water flow in the part of
the pipe that is unconstricted by the model? (b) What will the pressure difference be between the constricted and unconstricted
parts of the pipe?
Transcribed Image Text:Models of torpedoes are sometimes tested in a horizontal pipe of flowing water, much as a wind tunnel is used to test model airplanes. Consider a circular pipe of internal diameter 21 cm and a torpedo model aligned along the long axis of the pipe. The model has a 5.7 cm diameter and is to be tested with water flowing past it at 2.7 m/s. (a) With what speed must the water flow in the part of the pipe that is unconstricted by the model? (b) What will the pressure difference be between the constricted and unconstricted parts of the pipe?
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