Consider a guitar string (say, the 1st-string (E-high): the thinnest string). Its tension is adjusted such that when open (string vibrating at full length), its fundamental frequency is 330 Hz (E). Keeping the tension same, if we now close the first fret (i.e. put our finger on the first fret), the fundamental frequency becomes 350 Hz (F). If the length of the string is about 60 cm, can you estimate the reduction in length of the string when you place your finger on the first fret? Note that this is roughly the distance between the nut (Oth-fret) and the first fret.

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1
Consider a guitar string (say, the 1st-string (E-high): the thinnest string). Its tension is
adjusted such that when open (string vibrating at full length), its fundamental frequency is
330 Hz (E). Keeping the tension same, if we now close the first fret (i.e. put our finger on the
first fret), the fundamental frequency becomes 350 Hz (F). If the length of the string is about
60 cm, can you estimate the reduction in length of the string when you place your finger on
the first fret? Note that this is roughly the distance between the nut (Oth-fret) and the first fret.
Transcribed Image Text:tutorial 5[165].pdf- Adobe Reader File Edit View Window Help Tools Fill & Sign Comment Open 238% Problem 1 Consider a guitar string (say, the 1st-string (E-high): the thinnest string). Its tension is adjusted such that when open (string vibrating at full length), its fundamental frequency is 330 Hz (E). Keeping the tension same, if we now close the first fret (i.e. put our finger on the first fret), the fundamental frequency becomes 350 Hz (F). If the length of the string is about 60 cm, can you estimate the reduction in length of the string when you place your finger on the first fret? Note that this is roughly the distance between the nut (Oth-fret) and the first fret.
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