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Physics / College Physics 1 / Chapter 11 / Problem 84

College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs

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Some miners wish to remove water from a mine shaft. A pipe

Chapter 11, Problem 84

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QUESTION:

Problem 84PE

Some miners wish to remove water from a mine shaft. A pipe is lowered to the water 90 m below, and a negative pressure is applied to raise the water. (a) Calculate the pressure needed to raise the water. (b) What is unreasonable about this pressure? (c) What is unreasonable about the premise?

Questions & Answers

QUESTION:

Problem 84PE

Some miners wish to remove water from a mine shaft. A pipe is lowered to the water 90 m below, and a negative pressure is applied to raise the water. (a) Calculate the pressure needed to raise the water. (b) What is unreasonable about this pressure? (c) What is unreasonable about the premise?

ANSWER:

Solution 84PE

The magnitude of pressure $P$ at a depth $d$ of a fluid of density $\rho{}$ is given by $P=d\rho{}g$ . The pressure of the pipe must be lower than the mine shaft to to raise the water.

Part a

Step 1 of 3

Given data:

The depth upto which the pipe is taken $d=90$ m

Density of water $\rho{}=1000$ kg/m3

Acceleration due to gravity $g=9.80$ m/s2

The pressure required to raise the water,

$P=d\rho{}g$

$P=90\times{}1000\times{}9.80$ Pa

$P=8.82\times{}1{0}^{5}$ Pa

The pressure needed to raise the water is $8.82\times{}1{0}^{5}$ Pa.

Part b

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