The unfingered guitar string vibrates at a fundamental frequency of 627 Hz. When the string is fingered one third of the way from the end, only two thirds of the string length can vibrate, resulting in a new frequency of 940.5 Hz. This calculation is derived from the principles of string harmonics, specifically using the relationship between string length and frequency. Understanding these concepts is crucial for accurately determining the frequencies produced by guitar strings under different conditions.
PREREQUISITESMusicians, physics students, guitarists, and anyone interested in the acoustics of string instruments will benefit from this discussion.
Then you might want to take another look in your course literature on the subject and think about how the length of the string relates to the fundamental frequency.Kevin Kim said: