Respuesta :

Given that the frequency of the wave is, f = 450 Hz

and the length of the guitar string is, L = 80 cm = 0.8 m

We have to find the speed of the wave, v.

As the frequency is the fundamental frequency, so it will be the first harmonic.

The formula to find the wavelength is

[tex]\lambda=2L[/tex]

Substituting the values, we get

[tex]\begin{gathered} \lambda=2\times0.8 \\ =1.6\text{ m} \end{gathered}[/tex]

The formula to find the speed of the traveling wave is

[tex]v=\lambda\times f[/tex]

Substituting the values, we get

[tex]\begin{gathered} v=1.6\times450 \\ =720\text{ m/s} \end{gathered}[/tex]

Thus, the speed of the traveling wave is 720 m/s