Book edition 10th Edition

Author(s) David Halliday

Pages 1328 pages

ISBN 9781118230718

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Short Answer

To suck lemonade of density $1000 kg / m^{3}$ up a straw to a maximum height of $4.0 cm$ , what minimum gauge pressure (in atmospheres) must you produce in your lungs?

Gauge pressure produced in the lungs in atmospheric unit is $- 3.9 \times 10^{3} atm$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: The given data

Maximum height, $h = 4 cm or 0 .04 m$

Density of lemonade, $ρ = 1000 kg / m^{3}$

Acceleration due to gravity, $g = 9.8 m / s^{2}$

Step 2: Understanding the concept of pressure

To find gauge pressure in the atm, we can use the formula for pressure in terms of density, acceleration due to gravity, and height. Using the conversion factor, we can convert the pressure into atmospheric pressure.

Formula:

Pressure applied on a body, $p = ρgh$

Step 3: Calculation of gauge pressure in atm

The pressure produced in the lungs in SI unit using equation (i) can be given as follows:

$p = - 1000 kg / m^{3} \times 0.04 m \times 9.8 m / s^{2}$

$= - 392 Pa$

role="math" localid="1657535402885" $= - 392 Pa \times \frac{1 atm}{1 .01 \times 10^{5} Pa} (1 atm = 1.01 \times 10^{5} Pa)$

$= - 3.9 \times 10^{- 3} atm$

So, the pressure value is $- 3.9 \times 10^{- 3} atm$

Negative sign indicates that the pressure inside the lung is less than the outside pressure.

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Fundamentals Of Physics

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Short Answer

To suck lemonade of density $1000 kg / m^{3}$ up a straw to a maximum height of $4.0 cm$ , what minimum gauge pressure (in atmospheres) must you produce in your lungs?

Step by Step Solution

Step 1: The given data

Step 2: Understanding the concept of pressure

Step 3: Calculation of gauge pressure in atm

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Fundamentals Of Physics

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Short Answer

To suck lemonade of density 1000kg/m3 up a straw to a maximum height of 4.0 cm, what minimum gauge pressure (in atmospheres) must you produce in your lungs?

Step by Step Solution

Step 1: The given data

Step 2: Understanding the concept of pressure

Step 3: Calculation of gauge pressure in atm

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To suck lemonade of density $1000 kg / m^{3}$ up a straw to a maximum height of $4.0 cm$ , what minimum gauge pressure (in atmospheres) must you produce in your lungs?