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The speed of a wave on a certain 4.0 m rope is 3.2 m/s. What frequency of vibration is needed to produce a standing wave pattern with a) 3 nodes b) 8 nodes?

Respuesta :

We can find the frequencies using the following formula:

[tex]f_n=n\cdot\frac{v}{2l}[/tex]

a)

n = 3

[tex]f_3=3\cdot\frac{3.2}{2(4)}=1.2Hz[/tex]

b)

n = 8

[tex]f_8=8\cdot\frac{3.2}{2(4)}=3.2Hz[/tex]

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