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What would be the flow velocity and the gauge pressure in such a pipe on the top floor?

Water at a gauge pressure of 3.8 ATM at street level flows in to an office building at a speed of 0.06 m/s through a pipe 5.0 cm in diameter. The pipes taper down to 2.6cm in diameter by the top floor, 20 m above.

Asked by Donnaingusan, Last updated: Apr 11, 2024

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donnaingusan

donnaingusan

donnaingusan
Donnaingusan

Answered Nov 15, 2017

P2 = 2.8 x 105 Pa

Solution: By continuity equation: v2 = (A1v1) / A2 = ( (5.0 / 2)2 (0.60) ) / ( (2.6 / 2)2) v2 = 2.2 m/s By Bernoullis Equation: P1 + gh1 + (v1)2 = P2 + gh2 + (v2)2 (Po = atmospheric pressure)

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