Map sapling learning On a guitar, the lowest toned string is usually strung to t
ID: 1469773 • Letter: M
Question
Map sapling learning On a guitar, the lowest toned string is usually strung to the E note, which produces sound at 82.4 Hz. The diameter strings is typically 0.0500 inches and the scale length between the bridge and nut (the length of the string) is inches. Various musical acts tune their E strings down to produce a "heavier" sound or to better fit the vocal range of the singer. As a guitarist you want to detune the E on your guitar to C (65.4 Hz). If you were to maintain the same tension in the string as with the what diameter of string would you need to purchase to produce the desired all availabie to you are made of the same Number inches Unfortunately, none of the strings in your collection have such a large diameter. In fact, the largest diameter you possess is 0.05650 inches If the tension on your existing string is denoted Tbefore, by what fraction will you need to detune (that is, lower the tension) of this string to achieve the desired C note? Number after beforeExplanation / Answer
frequency is inversely proportional to the square root of the square of the diameter
f1*sqrt(d1^2) = f2*sqrt(d2^2)
f1/f2 = sqrt(d2^2/d1^2)
82.4/65.4 = Sqrt(d2^2/0.05^2) = d2/0.05 =
d2 = 0.06299 inches
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Tension id directly proportional to the square of the diametre
Tafter/Tbefore = 0.06299/0.05 = 1.259