Answer :
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
#SPJ11
