/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 90 A shallow well usually has the... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Problem 90

A shallow well usually has the pump at the top of the well. (a) What is the deepest possible well for which a surface pump will work? [Hint: A pump maintains a pressure difference, keeping the outflow pressure higher than the intake pressure.] (b) Why is there not the same depth restriction on wells with the pump at the bottom?

Short Answer

Expert verified
Answer: The maximum depth for a pump at the top of a well to work is approximately 10.3 meters. This is because the pump has to maintain a pressure difference equal to atmospheric pressure to lift the water column. On the other hand, a submersible pump placed at the bottom of the well does not have to maintain this pressure difference since it is submerged in the water and can push water directly up the pipe. This eliminates the depth restriction that exists with a surface pump.

Step by step solution

01

Understand key concept

A pump works by creating a pressure difference between the inflow and outflow, allowing water to be pushed up. This pressure difference is restricted to 1 atmosphere (atm) to prevent the formation of a vacuum on the inflow side.
02

Calculate the pressure in the water column

At the surface of the well, the pressure is equal to atmospheric pressure. To find the maximum possible depth for the pump to work, we need to know the pressure at the bottom of the water column. The pressure in the water column is given by the formula: Pressure = Density of water * Gravity * Depth Density of water = 1000 kg/m^3 (approximately) Gravity = 9.81 m/s^2 We want to find the maximum depth that would maintain the pressure difference of 1 atmospheric pressure. 1 atmospheric pressure is equal to 101325 Pa.
03

Find the maximum depth

Now we can find the maximum depth of the well (D) by rearranging the pressure formula and solving for D: D = Pressure / (Density of water * Gravity) D = 101325 Pa / (1000 kg/m^3 * 9.81 m/s^2) D 鈮� 10.3 meters So, the deepest possible well for which a surface pump will work is approximately 10.3 meters.
04

Why there isn't a depth restriction with a submersible pump

In the case of a submersible pump placed at the bottom of the well, the pump does not have to maintain a pressure difference equal to atmospheric pressure because it is submerged in the water. Therefore, it can push water directly up the pipe without having to lift the entire water column. This eliminates the depth restriction that exists with a surface pump.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

What is the average pressure on the soles of the feet of a standing 90.0 -kg person due to the contact force with the floor? Each foot has a surface area of \(0.020 \mathrm{m}^{2}\).
Atmospheric pressure is about \(1.0 \times 10^{5} \mathrm{Pa}\) on average. (a) What is the downward force of the air on a desktop with surface area $1.0 \mathrm{m}^{2} ?$ (b) Convert this force to pounds so you really understand how large it is. (c) Why does this huge force not crush the desk?
While vacationing at the Outer Banks of North Carolina, you find an old coin that looks like it is made of gold. You know there were many shipwrecks here, so you take the coin home to check the possibility of it being gold. You suspend the coin from a spring scale and find that it has a weight in air of 1.75 oz (mass \(=49.7 \mathrm{g}\) ). You then let the coin hang submerged in a glass of water and find that the scale reads \(1.66 \mathrm{oz}\) (mass $=47.1 \mathrm{g}$ ). Should you get excited about the possibility that this coin might really be gold?
An IV is connected to a patient's vein. The blood pressure in the vein has a gauge pressure of \(12 \mathrm{mm}\) Hg. At least how far above the vein must the IV bag be hung in order for fluid to flow into the vein? Assume the fluid in the IV has the same density as blood.
A hypodermic syringe is attached to a needle that has an internal radius of \(0.300 \mathrm{mm}\) and a length of \(3.00 \mathrm{cm} .\) The needle is filled with a solution of viscosity $2.00 \times 10^{-3} \mathrm{Pa} \cdot \mathrm{s} ;\( it is injected into a vein at a gauge pressure of \)16.0 \mathrm{mm}$ Hg. Ignore the extra pressure required to accelerate the fluid from the syringe into the entrance of the needle. (a) What must the pressure of the fluid in the syringe be in order to inject the solution at a rate of $0.250 \mathrm{mL} / \mathrm{s} ?$ (b) What force must be applied to the plunger, which has an area of \(1.00 \mathrm{cm}^{2} ?\)
See all solutions

Recommended explanations on Physics Textbooks

Space Physics

Read Explanation

Further Mechanics and Thermal Physics

Read Explanation

Particle Model of Matter

Read Explanation

Turning Points in Physics

Read Explanation

Waves Physics

Read Explanation

Quantum Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.