---
title: "A pump, submerged at the bottom of a well that is \\( 35 \\) \\( \\text{m} \\) deep, is used to pump water uphill to a house that is \\( 50 \\) \\( \\text{m} \\) above the top of the well, as shown to the right. The density of water is \\( 1000 \\) \\( \\text{kg/m}^3 \\). All pressures are gauge pressures. Neglect the effects of friction, turbulence, and viscosity."
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url: "https://nerd-notes.com/ubq/81600/"
date_modified: "2025-03-13T06:34:38+00:00"
---

# A pump, submerged at the bottom of a well that is \( 35 \) \( \text{m} \) deep, is used to pump water uphill to a house that is \( 50 \) \( \text{m} \) above the top of the well, as shown to the right. The density of water is \( 1000 \) \( \text{kg/m}^3 \). All pressures are gauge pressures. Neglect the effects of friction, turbulence, and viscosity.

A pump, submerged at the bottom of a well that is \( 35 \) \( \text{m} \) deep, is used to pump water uphill to a house that is \( 50 \) \( \text{m} \) above the top of the well, as shown to the right. The density of water is \( 1000 \) \( \text{kg/m}^3 \). All pressures are gauge pressures. Neglect the effects of friction, turbulence, and viscosity.

![Diagram](https://nerd-notes.com/wp-content/uploads/2025/03/fluidsfrqwaterfromwelltothetopofahouse.png)

**Part a)** Residents of the house use \( 0.35 \) \( \text{m}^3 \) of water per day. The day’s pumping is completed in \( 2 \) \( \text{hours} \) during the day. Calculate the minimum work required to pump the water used per day. *(3 points)*

**Part b)** Calculate the minimum power rating of the pump. *(3 points)*

**Part c)** The average pressure the pump actually produces is \( 9.20 \times 10^5 \) \( \text{N/m}^2 \). Within the well the water flows at \( 0.50 \) \( \text{m/s} \) and the pipe has a diameter of \( 3.0 \) \( \text{cm} \). At the house, the pipe diameter is \( 1.25 \) \( \text{cm} \). Calculate the flow velocity when a faucet in the house is open. *(3 points)*

**Part d)** Explain how you would calculate the minimum pressure at the faucet. *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/81600/*