Question

Plz explain your answer

A guitar string has a length of 0.90 m. When you pluck it, it plays a “C” that has a frequency of 256 Hz. How fast is the wave moving back and forth along the string?

Answer 1

460.8 m/s

Step-by-step explanation:

The equation that relates fundamental frequency, wavelength and speed of a standing wave on a string is

`f=(v)/(2L)`

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:

`v=2Lf=2(0.90 m)(256 Hz)=460.8 m/s`