---
title: "A drinking fountain projects water at an initial angle of \\( 50^	ext{o} \\) above the horizontal, and the water reaches a maximum height of \\( 0.150 \\) \\( \\text{m} \\) above the point of exit. Assume air resistance is negligible."
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url: "https://nerd-notes.com/ubq/82846/"
date_modified: "2025-11-03T09:11:24+00:00"
---

# A drinking fountain projects water at an initial angle of \( 50^	ext{o} \) above the horizontal, and the water reaches a maximum height of \( 0.150 \) \( \text{m} \) above the point of exit. Assume air resistance is negligible.

A drinking fountain projects water at an initial angle of \( 50^ \circ \) above the horizontal, and the water reaches a maximum height of \( 0.150 \) \( \text{m} \) above the point of exit. Assume air resistance is negligible.

**Part a)** Calculate the speed at which the water leaves the fountain. *(3 points)*

**Part b)** The radius of the fountain’s exit hole is \( 4.00 \times 10^{-3} \) \( \text{m} \). Calculate the volume rate of flow of the water. *(3 points)*

**Part c)** The fountain is fed by a pipe that at one point has a radius of \( 7.00 \times 10^{-3} \) \( \text{m} \) and is \( 3.00 \) \( \text{m} \) below the fountain’s opening. The density of water is \( 1.0 \times 10^{3} \) \( \text{kg/m}^3 \). Calculate the gauge pressure in the feeder pipe at this point. *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/82846/*