If the fundamental frequency of a guitar string is 220 Hz, what is the frequency of the second harmonic? Of the third harmonic?
Step 1 of 3
Frequency of harmonics of a vibrating string can be found by using the mathematical expression,
Where, L - Length of the string
n - Order of harmonics
- Wavelength of the nth harmonics
Rearranging this equation we get,
---------------- (1)
We know that, wavelength of the string and frequency of the string is related by the equation,
-------------------- (2)
Where, v - speed of sound
f - frequency of the string
Rearranging this equation we get, ? -------------------------- (3)