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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

Respuesta :

Answer:

0.87 m

70.6 Hz

Explanation:

[tex]L[/tex] = length of the rope = 1.30 m

[tex]n[/tex] = order of the harmonic = 3

[tex]\lambda[/tex] = Wavelength

Wavelength is given as

[tex]\lambda = \frac{2L}{n}[/tex]

[tex]\lambda = \frac{2(1.30)}{3}[/tex]

[tex]\lambda[/tex] = 0.87 m

[tex]v[/tex] = Speed of transverse wave = 61.4 m/s

[tex]f[/tex] = frequency of the third harmonic

frequency is given as

[tex]f = \frac{v}{\lambda }[/tex]

[tex]f = \frac{61.4}{0.87}[/tex]

[tex]f[/tex] = 70.6 Hz

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