Answer:
460.8 m/s
Explanation:
The equation that relates fundamental frequency, wavelength and speed of a standing wave on a string is
[tex]f=\frac{v}{2L}[/tex]
where
f is the frequency
v is the speed of the wave
L is the length of the string
in this problem, we have
f = 256 Hz is the frequency
L = 0.90 m is the length of the string
Therefore, re-arranging the equation we can find the speed of the wave:
[tex]v=2Lf=2(0.90 m)(256 Hz)=460.8 m/s[/tex]
