---
title: "Water at a gauge pressure of \\( 3.8 \\) \\( \\text{atm} \\) at street level flows into an office building at a speed of \\( 0.78 \\) \\( \\text{m/s} \\) through a pipe \\( 5.0 \\) \\( text{cm} \\) in diameter. The pipe tapers down to \\( 2.8 \\) \\( \\text{cm} \\) in diameter by the top floor, \\( 16 \\) \\(\\text{m} \\) above, where the faucet has been left open. Calculate the flow velocity AND the gauge pressure in the pipe on the top floor. Assume no branch pipes and ignore viscosity."
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url: "https://nerd-notes.com/ubq/80386/"
date_modified: "2025-03-14T06:52:13+00:00"
---

# Water at a gauge pressure of \( 3.8 \) \( \text{atm} \) at street level flows into an office building at a speed of \( 0.78 \) \( \text{m/s} \) through a pipe \( 5.0 \) \( text{cm} \) in diameter. The pipe tapers down to \( 2.8 \) \( \text{cm} \) in diameter by the top floor, \( 16 \) \(\text{m} \) above, where the faucet has been left open. Calculate the flow velocity AND the gauge pressure in the pipe on the top floor. Assume no branch pipes and ignore viscosity.

Water at a gauge pressure of \( 3.8 \) \( \text{atm} \) at street level flows into an office building at a speed of \( 0.78 \) \( \text{m/s} \) through a pipe \( 5.0 \) \( \text{cm} \) in diameter. The pipe tapers down to \( 2.8 \) \( \text{cm} \) in diameter by the top floor, \( 16 \) \(\text{m} \) above, where the faucet has been left open. Calculate the flow velocity **AND** the gauge pressure in the pipe on the top floor. Assume no branch pipes and ignore viscosity.

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/80386/*