Problem 52P

(I) If a violin string vibrates at 440 Hz as its fundamental frequency, what are the frequencies of the first four harmonics?

Solution 52P

What are harmonics? Harmonic of a wave with fundamental frequency f is a wave with frequency that is an integer multiple of the fundamental frequency f. I.e waves with frequencies 2f, 3f, 4f and so on are harmonics of the wave with fundamental frequency f.

The frequency of fundamental

So, the frequency of first harmonic

The frequency of 2"J harmonic

The frequency of 3"1 harmonic

The frequency of4,h harmonic

Thus, the first four harmonics are