Giancoli's Physics: Principles with Applications, 7th Edition
12
Sound
Change chapter12-1: Characteristics of Sound
12-2: Intensity of Sound; Decibels
12-3: Loudness
12-4: Sources of Sound: Strings and Air Columns
12-5: Quality of Sound, Superposition
12-6: Interference; Beats
12-7: Doppler Effect
12-8: Shock Waves; Sonic Booms
Question by Giancoli, Douglas C., Physics: Principles with Applications, 7th Ed., ©2014, Reprinted by permission of Pearson Education Inc., New York.
Problem 42
Q
Determine the fundamental and first overtone frequencies when you are in a 9.0-m-long hallway with all doors closed. Model the hallway as a tube closed at both ends.
A
In order to watch this solution you need to have a subscription.
VIDEO TRANSCRIPT
This is Giancoli Answers with Mr. Dychko. For the tube closed at both ends, the mathematics is the same as it is for a string because you have a displacement node at both ends of the hallway at each closed door. So, the fundamental frequency is the wave speed divided by 2 times the length of the resonating thing which in this case is a column of air and the wave speed is the speed of sound because it's air that's vibrating. So, we have 343 meters per second divided by 2 times 9.0 meters which is about 19 hertz. And the second harmonic is going to be 2 times the fundamental. So, that'll be 38 hertz.
Find us on:
Giancoli Answers, including solutions and videos, is copyright © 2009-2024 Shaun Dychko, Vancouver, BC, Canada. Giancoli Answers is not affiliated with the textbook publisher. Book covers, titles, and author names appear for reference purposes only and are the property of their respective owners. Giancoli Answers is your best source for the 7th and 6th edition Giancoli physics solutions.