Question

The frequency of the fundamental of the guitar string is 320 Hz. At what speed v do waves move along that string?

Answer 1

V = 640L m/s

Step-by-step explanation:

The formula for calculating the fundamental frequency of wave in strings is expressed as:

Fo = V/2L where

V is the velocity of the wave

L is the length of the string

Given the fundamental frequency Fo = 320Hz

From the equation above:

V = Fo2L

V = 320(2L)

V = 640L m/s

This value of the velocity varies with the length of the string

Answer 2

v = 640L, where L is the length of the string.

Step-by-step explanation:

We need the length of the string in order to find the velocity of the waves.

Let us denote the length of the string as 'L'.

If the waves are propagating in the fundamental frequency, then

`f_1 = (v)/(2L)\\v = 2(320)L = 640L`