water at a guage pressure of P = 5.2 atm at street level flows into an office bu

Question

water at a guage pressure of P = 5.2 atm at street level flows into an office building at a speed of 0.68 m/s through a pipe of 6.0 cm in diameter. The pipe tapers down to 2.2 cm in diamter by the top floor, 16 m above, where the faucet has been left open. Assume no branch pipes and ignore viscosity.

(a) calculate the flow velocity.

(b) calculate the guage pressure in the pipe on the top floor.

water at a guage pressure of P = 5.2 atm at street level flows into an office building at a speed of 0.68 m/s through a pipe of 6.0 cm in diameter. The pipe tapers down to 2.2 cm in diamter by the top floor, 16 m above, where the faucet has been left open. Assume no branch pipes and ignore viscosity.

Explanation / Answer

By continuity equation:
v2 = (A1v1) / A2 = (d1/d2)

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