Purchase Solution

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

Not what you're looking for?

Ask Custom Question

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.

Purchase this Solution
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 ...

Purchase this Solution
Free BrainMass Quizzes
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.

View More Free Quizzes
Related BrainMass Solutions

  • Finding Ratio of Wave Speeds in Two Strings

    Find the ratio of the wave speeds, vA/vB, in these two strings.

  • Physics: Simple Harmonic Oscillator

    411067 String tensions for maximum and minimum motion of bungee cord Traveling waves are set up in a pair of long strings by a simple harmonic oscillator. The strings have identical mass densities of 5.1 grams/meter.

  • Guitar String Frequency and Vibrations

    This tunes that string and in this way we can tune all strings of the guitar. The mass per unit length of different strings is different and according to that the different strings are set for different frequencies. 2.

  • Equilibrium of Bodies: Force and Tension

    202687 Equilibrium of Bodies: Force and Tension A body of mass 50 kg is suspended by two light, inextensible cables of lengths 15 m and 20 m from rigid supports placed 25 m apart on the same level. Find the tensions in the cables.

  • General questions: Six questions to learn concepts

    What is the purpose of frets on a guitar? In terms of frequency of the vibration of the strings, explain their use in 100 words or less The characteristics of sound are its loudness, pitch and quality.

  • Harmonic Frequencies and spring problems

    Let u = kinetic friction F = m*a = m*g*u a = u*g = 1.3*(9.8 m/s/s) = 12.74 m/s/s The expert examines harmonic frequencies and spring problems for guitar strings.

  • Guitar String: Speed and Frequency

    175991 Guitar String: Speed and Frequency One of the 63.5-cm-long strings of an ordinary guitar is tuned to produce the note B_3 (frequency 245 Hz when vibrating in its fundamental mode. a). Find the speed of transverse waves on this string.

  • Sound waves

    5849 Sound waves. what are the lengths of the longest and shortest pipes (open at both ends and producing sound at their fundamental frequencies) that you expect to find in a pipe?

  • tensions in the strings and accelerations of the object

    : (b) Express the tensions in the strings in terms of g and the masses m1 and m2.

View More Related Solutions