Question

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?

Answer 1

We can find the frequencies using the following formula:

$f_n=n\cdot\frac{v}{2l}$

a)

n = 3

$f_3=3\cdot\frac{3.2}{2(4)}=1.2Hz$

b)

n = 8

$f_8=8\cdot\frac{3.2}{2(4)}=3.2Hz$