If a violin strong vibrates at 440 Hz as its fundamental frequency, what is the

Question

If a violin strong vibrates at 440 Hz as its fundamental frequency, what is the frequency of the 1st harmonic? Give answer to two decimal places. If a violin strong vibrates at 440 Hz as its fundamental frequency, what is the frequency of the 2nd harmonic? Give answer to two decimal places. If a violin strong vibrates at 440 Hz as its fundamental frequency, what is the frequency of the 3rd harmonic? Give answer to two decimal places. If a violin strong vibrates at 440 Hz as its fundamental frequency, what is the frequency of the 4th harmonic? Give answer to two decimal places.

Explanation / Answer

A violin is a both ends fixed, and so successive harmonics are simply multiples of the fundamental:

Therefore, f1 = 440Hz (fundamental frequency)
f2 = 2f1 = 2 x 440 = 880 Hz
f3 = 3f1 = 3 x 440 = 1320 Hz
f4 = 4f1 = 4 x 440 = 1760 Hz

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