BuyFindarrow_forward

Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
ISBN: 9781337553278

Solutions

Chapter
Section
BuyFindarrow_forward

Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
ISBN: 9781337553278
Textbook Problem

The speed of sound in air (in meters per second) depends on temperature according to the approximate expression

v = 331.5 + 0.607 T C

where TC is the Celsius temperature. In dry air, the temperature decreases about 1°C for every 150-m rise in altitude. (a) Assume this change is constant up to an altitude of 9 000 m. What time interval is required for the sound from an airplane flying at 9 000 m to reach the ground on a day when the ground temperature is 30°C? (b) What If? Compare your answer with the time interval required if the air were uniformly at 30°C. Which time interval is longer?

(a)

To determine

The required time interval for the sound to reach the ground when the ground temperature is 30.0°C.

Explanation

The altitude of the plane is 9000m, the temperature at the ground is 30.0°C, the temperature in dry decreases about 1°C for every 150m rise.

The speed of the sound at an altitude of 9000m from the ground is,

    v=331.50.607TC

Substitute 30.0°C for TC in above expression.

    v=331.50.607(30.0°C)=313.29m/s

The expression for the velocity at the ground is given as,

    v=331.5+0.607TC

Here, TC is the temperature in Celsius.

Substitute 30.0°C for TC in above expression.

    v=331.5+0.607(30.0°C)=349.71m/s

Formula to calculate the average speed of the sound is,

    vavg=v+v2

Substitute 349

(b)

To determine

The time interval required if the air were uniformly at 30.0°C and compare it with the time interval calculated in part (a).

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Additional Science Solutions

Find more solutions based on key concepts

Show solutions add

To plan a healthy diet that correctly assigns the needed amounts of food from each food group, the diet planner...

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

What are genomes?

Human Heredity: Principles and Issues (MindTap Course List)

Are tides always shallow-water waves? Are they ever in deep water?

Oceanography: An Invitation To Marine Science, Loose-leaf Versin