Question

macmillan learning im Hamm at big bend Coty Conege A 1.30-m-long rope is stretched between two points with a tension that makes the speed of transverse waves 61.4 m/s. What are the wavelength and frequency of the the third harmonic? Number Wavelength = 1 Number Frequency = Hz

Answer 1

0.87 m

70.6 Hz

Step-by-step explanation:

`L` = length of the rope = 1.30 m

`n` = order of the harmonic = 3

`\lambda` = Wavelength

Wavelength is given as

`\lambda = (2L)/(n)`

`\lambda = (2(1.30))/(3)`

`\lambda` = 0.87 m

`v` = Speed of transverse wave = 61.4 m/s

`f` = frequency of the third harmonic

frequency is given as

`f = (v)/(\lambda )`

`f = (61.4)/(0.87)`

`f` = 70.6 Hz