High School

What are the first three harmonics of a note produced on a 31.0 cm long violin string if waves on this string have a speed of 274.4 m/s?

Answer :

The first three harmonics of a note produced on a 31.0cm long violin string are : 442 Hz, 882 Hz, 1330 Hz.

What is harmonics?

A harmonic is a wave with frequency that is positive integer multiple of the fundamental frequency that is the frequency of the original periodic signal, such as a sinusoidal wave.

Given; length of the string = 31 cm

and speed of waves is 274.4 M/s or 2740 cm/s

So, wavelengths are

62 cm

31 cm and

62 / 3 = 20.67 cm

The 1st, 2nd and 3rd harmonics are

  • 27440/ 62 = 442.6 = 442 Hz
  • 27440/31 = 885.2 = 882 Hz
  • 27440 / 20.67 = 1328 = 1330 Hz

To know more about harmonics, refer

https://brainly.com/question/4290297

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