A 6.0 cm diameter horizontal pipe gradually narrows to 4.0 cm.When water flows through this pipe at a certain rate, the gaugepressure in these two sections is 32.0 k Pa and 24.0 k Pa,respectively. What is the volume rate of flow?

aortiH 2021-02-03 Answered
A 6.0 cm diameter horizontal pipe gradually narrows to 4.0 cm.When water flows through this pipe at a certain rate, the gaugepressure in these two sections is 32.0 k Pa and 24.0 k Pa,respectively. What is the volume rate of flow?

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Nicole Conner
Answered 2021-02-04 Author has 19164 answers

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Water flows through a water hose at a rate of \(\displaystyle{Q}_{{{1}}}={680}{c}\frac{{m}^{{{3}}}}{{s}}\), the diameter of the hose is \(\displaystyle{d}_{{{1}}}={2.2}{c}{m}\). A nozzle is attached to the water hose. The water leaves the nozzle at a velocity of \(\displaystyle{v}_{{{2}}}={9.2}\frac{{m}}{{s}}\).
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c) Enter an expression for the speed of the water in the hose, \(\displaystyle{v}_{{{1}}}\), in terms of the volume floe rate \(\displaystyle{Q}_{{{1}}}\) and cross-sectional area \(\displaystyle{A}_{{{1}}}\)
d) Calculate the speed of the water in the hose, \(\displaystyle{v}_{{{1}}}\) in meters per second.
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