Answer:
53.4 m/s
Explanation:
For a standing wave on a string, the fundamental frequency is given by
[tex]f=\frac{v}{2L}[/tex]
where
v is the wave speed
f is the frequency
L is the length of the string
For the wave on the guitar string in this problem, we have
[tex]f=30 Hz[/tex] is the fundamental frequency
L = 89 cm = 0.89 m is the length of the string
Solving the equation for v, we find the wave speed:
[tex]v=2Lf=2(0.89 m)(30 Hz)=53.4 m/s[/tex]
