The A-string on a guitar is 0.648 m long and has a linear mass density of 4.25 g/m. If the string is perfectly in tune, then the third harmonic should have a frequency of 330 Hz. However, on a particular out-of-tune guitar, the A-string's third harmonic is measured to be 319 Hz. By how much should the tension be increased in order to bring the A-string back into tune? (You may ignore any slight changes to the linear mass density of the string that might result from the tuning process.)

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
icon
Concept explainers
Question
100%
The A-string on a guitar is 0.648 m long and has a linear mass
density of 4.25 g/m. If the string is perfectly in tune, then the
third harmonic should have a frequency of 330 Hz. However, on
a particular out-of-tune guitar, the A-string's third harmonic is
measured to be 319 Hz. By how much should the tension be
increased in order to bring the A-string back into tune? (You
may ignore any slight changes to the linear mass density of the
string that might result from the tuning process.)
Transcribed Image Text:The A-string on a guitar is 0.648 m long and has a linear mass density of 4.25 g/m. If the string is perfectly in tune, then the third harmonic should have a frequency of 330 Hz. However, on a particular out-of-tune guitar, the A-string's third harmonic is measured to be 319 Hz. By how much should the tension be increased in order to bring the A-string back into tune? (You may ignore any slight changes to the linear mass density of the string that might result from the tuning process.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Properties of sound
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON