Question

A bass guitar string is 89 cm long with a fundamental frequency of 30 Hz. What is the wave speed on this string?

Answer 1

Answer:

53.4 m/s

Explanation:

For a standing wave on a string, the fundamental frequency is given by

$f=\frac{v}{2L}$

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

$f=30 Hz$ 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:

$v=2Lf=2(0.89 m)(30 Hz)=53.4 m/s$