Purchase Solution

# Guitar strings' lengths and relative densities, find their frequencies and tensions.

Not what you're looking for?

Given two guitar strings' lengths and relative densities, find information about their frequencies and tensions.

The thinnest string on a certain guitar has a linear density one fifteenth the linear density of the thickest string. Both strings are the same length, L= .64 m.

NOTE: On a musical scale a note one octave higher than a certain note is twice the frequency of that note.

PART a. If both strings have the same tension force, find the ratio of their two fundamental frequencies, 'fhi / flo'.

PART b. The fundamental note (first harmonic) of the thicker string is135 cy/sec, and its linear density is .006 kg/m. Find the tension in this string.

PART c. Find the frequency and the tension in the thinner string if it is to produce a note which is 3 octaves above the fundamental note of the thicker string.

##### Solution Summary

The solution presents a step by step process to arrive at the answers. The guitar strings' lengths, relative densities, frequencies and tension are found.

##### Solution Preview

Preliminary: You need to recall that in general, the frequency f emitted by a string of a musical instrument is:
(1) f= (n/ 2L) (sqrt[F/ d]) in which:
n is the number of the harmonic (the fundamental note is the first harmonic so n=1) ,
L is the length of the string,
F is the tension in ...

##### Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

##### The Moon

Test your knowledge of moon phases and movement.

##### Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

##### Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

##### Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.