Question

Water at a gauge pressure of P = 3.4 atm at street level flows into an office building at a speed of 0.64 m/s through a pipe 5.4 cm in diameter. The pipe tapers down to 2.8 cm in diameter by the top floor, 16 m above (Figure 1). Assume no branch pipes and ignore viscosity. Calculate the flow velocity in the pipe on the top floor. Calculate the gauge pressure in the pipe on the top floor.

Name: water at a gauge pressure of p 34 atm at street level flows into an office building at a speed of 064 ms through a pipe 54 cm in diameter the pipe tapers down to 28 cm in diameter by the top 37222
Uploaded: 2022-12-01T04:32:35-08:00
Duration: 2 min 33 s
Channel: Penny Riley
Description: water at a gauge pressure of p 34 atm at street level flows into an office building at a speed of 064 ms through a pipe 54 cm in diameter the pipe tapers down to 28 cm in diameter by the top 37222

          Water at a gauge pressure of P = 3.4 atm at
street level flows into an office building at a speed of
0.64 m/s through a pipe 5.4 cm in diameter. The
pipe tapers down to 2.8 cm in diameter by the top floor,
16 m above (Figure 1). Assume no branch pipes and
ignore viscosity.
Calculate the flow velocity in the pipe on the top floor.
Calculate the gauge pressure in the pipe on the top floor.

Added by Melissa S.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Penny Riley

12/01/2022

Step 1

64 m/s Initial diameter (d1) = 5.4 cm = 0.054 m Final diameter (d2) = 2.8 cm = 0.028 m Using the continuity equation: v2 = v1 * (d1/d2)^2 v2 = 0.64 * (0.054/0.028)^2 v2 = 0.64 * (1.928)^2 v2 = 0.64 * 3.716 v2 = 2.38 m/s Show more…

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Water at a gauge pressure of P = 3.4 atm at street level flows into an office building at a speed of 0.64 m/s through a pipe 5.4 cm in diameter. The pipe tapers down to 2.8 cm in diameter by the top floor, 16 m above (Figure 1). Assume no branch pipes and ignore viscosity. Calculate the flow velocity in the pipe on the top floor. Calculate the gauge pressure in the pipe on the top floor.