On a guitar, the lowest toned string is usually strung to the E note, which produces sound at 82.4 Hz. The diameter of E guitar strings is typically 0.0500 in and the scale length between the bridge and nut (the effective length of the string) is 25.5 in. 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 B (62.8 Hz). If you were to maintain the same tension in the string as with the E string, what diameter of string would you need to purchase to produce the desired note? Assume all strings available to you are made of the same material diameter of string: inches Unfortunately, none of the strings in your collection have such a large diameter. In fact, the largest diameter you possess is 0.05780 in. If the tension on your existing string is denoted Thefore. by what fraction will you need to detune (that is, lower the tension) of this string to achieve the desired B note? Tafter Tefore

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Chapter17: Sound Waves
Section: Chapter Questions
Problem 17.29P: The most soaring vocal melody is in Johann Sebastian Bach's Mass in B Minor. In one section, the...
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On a guitar, the lowest toned string is usually strung to the E note, which produces sound at 82.4 Hz. The diameter of E guitar
strings is typically 0.0500 in and the scale length between the bridge and nut (the effective length of the string) is 25.5 in.
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 B (62.8 Hz). If you were to maintain the same tension in the string as with
the E string, what diameter of string would you need to purchase to produce the desired note? Assume all strings available to
you are made of the same material
diameter of string:
inches
Unfortunately, none of the strings in your collection have such a large diameter. In fact, the largest diameter you possess is
0.05780 in. If the tension on your existing string is denoted Thefore. by what fraction will you need to detune (that is, lower the
tension) of this string to achieve the desired B note?
Tafter
Tefore
Transcribed Image Text:On a guitar, the lowest toned string is usually strung to the E note, which produces sound at 82.4 Hz. The diameter of E guitar strings is typically 0.0500 in and the scale length between the bridge and nut (the effective length of the string) is 25.5 in. 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 B (62.8 Hz). If you were to maintain the same tension in the string as with the E string, what diameter of string would you need to purchase to produce the desired note? Assume all strings available to you are made of the same material diameter of string: inches Unfortunately, none of the strings in your collection have such a large diameter. In fact, the largest diameter you possess is 0.05780 in. If the tension on your existing string is denoted Thefore. by what fraction will you need to detune (that is, lower the tension) of this string to achieve the desired B note? Tafter Tefore
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