 Suggested languages for you:

Europe

Answers without the blur. Sign up and see all textbooks for free! Fundamentals of physics

Expert-verified Found in: Page 386 ### Fundamentals Of Physics

Book edition 10th Edition
Author(s) David Halliday
Pages 1328 pages
ISBN 9781118230718 # 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 $0.031kg/{m}^{3}$ ?

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" $pv+1/2p{g}^{{2}^{}}h+cons\mathrm{tan}t$

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

## Given information

1. The pressure difference measured by the pitot tube is .

2. The density of air

## 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:

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 .$1.1*{10}^{2}m/s$

## Recommended explanations on Physics Textbooks

94% of StudySmarter users get better grades. 