The 62.0-cm-long string of a guitar has a fundamental frequency of 378 Hz when i
ID: 1899228 • Letter: T
Question
The 62.0-cm-long string of a guitar has a fundamental frequency of 378 Hz when it vibrates freely along its entire length. A fret is provided for limiting vibration to just the lower two-thirds of the string.(a) If the string is pressed down at this fret and plucked, what is the new fundamental frequency?
Hz
(b) The guitarist can play a "natural harmonic" by gently touching the string at the location of this fret and plucking the string at about one-sixth of its length from the bridge. What frequency will be heard then?
Hz
Explanation / Answer
fn = n * v /2L f1=v/2L v=378 *2 *0.62 =468.72 m/s fnew = 468.72/2.2/3L =567 Hz f=468.72/2.1/6 L =2268 Hz
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