A guitar string has a tension of 100 N and is supposed to have a frequency of 110 Hz. When a standard tone of that value is sounded while the string is plucked, a beat frequency of 2 Hz is heard. The peg holding the string is loosened (decreasing the tension) and the beat frequency increases. What should the tension in the string be in order to achieve perfect pitch?

Answer 1

F = 110 - 2 = 108 Hz.

Tension = (110Hz/108Hz) * 100N=101.85 N.