Book edition 10th Edition

Author(s) David Halliday

Pages 1328 pages

ISBN 9781118230718

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Short Answer

Question: A pitot tube (Figure) on a high-altitude aircraft measures a differential pressure of $180 P a$ . What is the aircraft’s airspeed if the density of the air is $0.031 k g / m^{3}$ ?

The plane’s airspeed is $1.1 * 10^{2} m / s$ .

Step-By-Step Solution

Step 2: Determining the concept of Bernoulli’s equation

Find the expression for the plane's airspeed using Bernoulli's equation. Find the plane's airspeed using the supplied values and this phrase. According to Bernoulli's equation, the pressure inside a flowing fluid falls as the fluid's speed rises.

The formula is as follows:

role="math" localid="1657558198830" $p v + 1 / 2 p g^{2^{}} h + c o n s \tan t$

Where, $p$ is pressure, v is velocity, h is height, $g$ is the acceleration due to gravity, h is height, and $p$ is density.

Step 3: Determining the plane’s airspeed

Determining the plane’s airspeed

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Given information

The pressure difference measured by the pitot tube is .
The density of air

Determining the concept of Bernoulli’s equation

The formula is as follows:

Where, is pressure, v is velocity, h is height, is the acceleration due to gravity, h is height, and is density.

Determining the plane’s airspeed

The airflow obeys Bernoulli’s principle.

So,

Thus, rearranging,

Hence, the plane’s airspeed is . $1.1 * 10^{2} m / s$

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Fundamentals Of Physics

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Short Answer

Question: A pitot tube (Figure) on a high-altitude aircraft measures a differential pressure of $180 P a$ . What is the aircraft’s airspeed if the density of the air is $0.031 k g / m^{3}$ ?

Step by Step Solution

Given information

Determining the concept of Bernoulli’s equation

Determining the plane’s airspeed

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Fundamentals Of Physics

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Short Answer

Question: A pitot tube (Figure) on a high-altitude aircraft measures a differential pressure of 180 Pa. What is the aircraft’s airspeed if the density of the air is 0.031kg/m3 ?

Step by Step Solution

Given information

Determining the concept of Bernoulli’s equation

Determining the plane’s airspeed

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Question: A pitot tube (Figure) on a high-altitude aircraft measures a differential pressure of $180 P a$ . What is the aircraft’s airspeed if the density of the air is $0.031 k g / m^{3}$ ?