Question

What are the first three harmonics of a note produced on a 0.31 m long violin string if the waves on this string have a speed of 274.4 M/s

Answer 1

442 Hz, 882 Hz, 1330 Hz

Step-by-step explanation:

Given data: length of the string= 0.31 m = 31 cm

speed of the waves = 274.4 M/s or 2740 cm/s

Wavelengths are

62 cm

31 cm and

62 / 3 = 20.67 cm

The frequencies associated with these wavelengths ( which are 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