Solved: Guitar String. One of the 63.5-cm-long strings of
Chapter 15, Problem 15.49(choose chapter or problem)
Guitar String. One of the 63.5-cm-long strings of an ordinary guitar is tuned to produce the note \(\mathrm{B}_{3}\) (frequency 245 Hz) when vibrating in its fundamental mode.
(a) Find the speed of transverse waves on this string.
(b) If the tension in this string is increased by 1.0%, what will be the new fundamental frequency of the string?
(c) If the speed of sound in the surrounding air is 344 m/s, find the frequency and wavelength of the sound wave produced in the air by the vibration of the \(\mathrm{B}_{3}\) string. How do these compare to the frequency and wavelength of the standing wave on the string?
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