(a)
The wavelength of the sound waves if airplane were not moving.
(a)
Answer to Problem 101A
Explanation of Solution
Given:
Speed of sound,
Space between wave frontsin front of the plane,
Space between the wave fronts behind the plane,
Formula Used:
Wavelength can be obtained by:
Here,
Calculations:
Let the speed of the plane be
Add the two equations.
Conclusion:
Thus, the wavelength of the sound waves is 1 m.
(b)
The frequency of the sound waves.
(b)
Answer to Problem 101A
Explanation of Solution
Given:
Speed of sound,
Wavelength of the sound wave,
Formula Used:
The frequency of the sound wave can be obtained by:
Here,
Calculations:
Substitute the values and solve:
Conclusion:
Thus, the frequency of the sound waves is 340 Hz.
(c)
The speed of the airplane.
(c)
Answer to Problem 101A
Explanation of Solution
Given:
Speed of sound,
Wavelength of the sound wave,
Space between wave fronts in front of the plane,
Space between the wave fronts behind the plane,
Formula Used:
Wavelength can be obtained by:
Here,
Calculations:
Let the speed of the plane be
Substitute the known values in any one equation and solve for
Conclusion:
Thus, the speed of the airplane is 170 m/s.
(d)
The frequency of the sound wave detected by an observer located directly in front of the airplane.
(d)
Answer to Problem 101A
Explanation of Solution
Given:
Speed of sound,
Wavelength of the sound wave,
Frequency of the sound,
Speed of the airplane,
Formula Used:
From Doppler effect, frequency of the sound wave when source is moving towards the observer can be obtained by:
Here, v is the speed of the sound,
Calculations:
Conclusion:
Thus, the frequency of the sound wave detected by an observer located directly in front of the airplane is 680 Hz.
(e)
The frequency of the sound wave detected by an observer located directly behind the airplane.
(e)
Answer to Problem 101A
Explanation of Solution
Given:
Speed of sound,
Wavelength of the sound wave,
Frequency of the sound,
Speed of the airplane,
Formula Used:
From Doppler effect, frequency of the sound wave when source is moving away from the observer can be obtained by:
Here, v is the speed of the sound,
Calculations:
Conclusion:
Thus, the frequency of the sound wave detected by an observer located directly in front of the airplane is
Chapter 23 Solutions
Glencoe Physics: Principles and Problems, Student Edition
Additional Science Textbook Solutions
Lecture- Tutorials for Introductory Astronomy
College Physics
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
College Physics (10th Edition)
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON