If the fundamental frequency of a violin string is 440 Hz, what is the frequency of the second harmonic? Of the third harmonic?

Solution 36E Step 1: th Frequency of n harmonics of a vibrating string can be found by using the mathematical expression, n L = 2n Where, L - Length of the string n - Order of harmonics th n Wavelength of the n harmonics Rearranging this equation we get, 2L n= n ---------------- (1) We know that, wavelength of the string and frequency of the string is related by the equation, v = f -------------------- (2) Where, v - speed of sound f - frequency of the string Rearranging this equation we get, f = v/ -------------------------- (3)