If the length of a guitar string is 90 cm, and the speed of sound is 343 m/s that day, what is the 3 rd fundamental frequency of the guitar?
To find the 3rd fundamental frequency of a guitar string, we need to know the speed of sound and the length of the string.
The fundamental frequency of a vibrating string is determined by the speed of sound divided by twice the length of the string:
Fundamental Frequency = (Speed of Sound) / (2 * Length of String)
Given that the length of the guitar string is 90 cm and the speed of sound is 343 m/s, we need to convert the length to meters before calculating the frequency:
Length of String = 90 cm = 0.9 m
Now we can calculate the 3rd fundamental frequency:
Fundamental Frequency = (343 m/s) / (2 * 0.9 m)
Fundamental Frequency = 190.556 Hz
Therefore, the 3rd fundamental frequency of the guitar is approximately 190.556 Hz.