Chapter 14: Fundamentals of physics (page 386)

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 $0.031 k g / m^{3}$ ?

Short Answer

Expert verified

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

Step by step solution

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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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 $0.031 k g / m^{3}$ ?

Short Answer

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 180Pa. What is the aircraft’s airspeed if the density of the air is 0.031kg/m3?

Short Answer

Step by step solution

Given information

Determining the concept of Bernoulli’s equation

Determining the plane’s airspeed

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Medical Physics

Quantum Physics

Dynamics

Electricity

Rotational Dynamics

Magnetism and Electromagnetic Induction

Study anywhere. Anytime. Across all devices.

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 $0.031 k g / m^{3}$ ?