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

If a violin string vibrates at 440 Hz as its fundamental frequency, the frequencies of the first four harmonics of the violin string vibrating at a fundamental frequency of 440 Hz are as follows:1st harmonic: 440 Hz,2nd harmonic: 880 Hz,3rd harmonic: 1320 Hz,4th harmonic: 1760 Hz

To find the frequencies of the first four harmonics of a violin string vibrating at a fundamental frequency of 440 Hz, we can use the formula:

f_n = n × f_1,

where f_n is the frequency of the nth harmonic and f_1 is the fundamental frequency.

Given that the fundamental frequency (f_1) is 440 Hz, we can calculate the frequencies of the first four harmonics:

First harmonic (n = 1):

f_1 = 1 × 440 Hz = 440 Hz

Second harmonic (n = 2):

f_2 = 2 × 440 Hz = 880 Hz

Third harmonic (n = 3):

f_3 = 3 ×440 Hz = 1320 Hz

Fourth harmonic (n = 4):

f_4 = 4 × 440 Hz = 1760 Hz

Therefore, the frequencies of the first four harmonics of the violin string vibrating at a fundamental frequency of 440 Hz are as follows:

1st harmonic: 440 Hz

2nd harmonic: 880 Hz

3rd harmonic: 1320 Hz

4th harmonic: 1760 Hz

To learn more about fundamental frequency visit: https://brainly.com/question/1967686

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