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5. Consider a section of firehose as shown in the figure. When in use, the firehose is allowed to bend to form an angle with
5. Consider a section of firehose as shown in the figure. When in use, the firehose is allowed to bend to form an angle with respect to the horizontal. Because of the hose material not being rigid, when water flows through the hose, there will be a tension force acting on each end of the hose, T, and T. Water enters and exits the hose section with velocity vi and vi respectively, and the cross sectional area of the hose is A and is constant throughout. The hose can be connected to another hose section, a nozzle, etc. (.e. water is not discharged to atmosphere). L Assuming steady, inviscid, incompressible uniform flow through the hose, with no body forces, no friction forces, and no anchoring of the hose section, show that the tensions T and T are equivalent and can be written as PQ T =p4, + A where Q is the volumetric flowrate through the hose section. Hint: use conservation of mass and momentum. Also, Bernoulli holds, so this may help you identify the relationship between the water pre
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