---
title: "A fountain with an opening of radius \\( 0.015 \\) \\( \\text{m} \\) shoots a stream of water vertically from ground level at \\( 6.0 \\) \\( \\text{m/s} \\). The density of water is \\( 1000 \\) \\( \\text{kg/m}^3 \\)."
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url: "https://nerd-notes.com/ubq/81535/"
date_modified: "2025-03-13T11:13:17+00:00"
---

# A fountain with an opening of radius \( 0.015 \) \( \text{m} \) shoots a stream of water vertically from ground level at \( 6.0 \) \( \text{m/s} \). The density of water is \( 1000 \) \( \text{kg/m}^3 \).

A fountain with an opening of radius \( 0.015 \) \( \text{m} \) shoots a stream of water vertically from ground level at \( 6.0 \) \( \text{m/s} \). The density of water is \( 1000 \) \( \text{kg/m}^3 \).

**Part a)** Calculate the volume rate of flow of water. *(3 points)*

**Part b)** The fountain is fed by a pipe that at one point has a radius of \( 0.025 \) \( \text{m} \) and is \( 2.5 \) \( \text{m} \) below the fountain’s opening. Calculate the absolute pressure in the pipe at this point. *(3 points)*

**Part c)** The fountain owner wants to launch the water \( 4.0 \) \( \text{m} \) into the air with the same volume flow rate. A nozzle can be attached to change the size of the opening. Calculate the radius needed on this new nozzle. *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/81535/*