Fundamentals of physics Question: A pitot tube (Figure) ... [FREE SOLUTION]

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鈥檚 airspeed if the density of the air is $0.031 k g / m^{3}$ ?

Short Answer

Expert verified

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

Step-By-Step Solution

Step 2: Determining the concept of Bernoulli鈥檚 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鈥檚 airspeed

Determining the plane鈥檚 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鈥檚 principle.

So,

Thus, rearranging,

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

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