Solve the following:
Guitar strings' lengths and relative densities, find their frequencies and tensions.
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.
a. If both strings have the same tension force, find the ratio of their two fundamental frequencies, 'fhi / flo'.
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.
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.