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 A# (58.3 Hz). If you were to maintain the same tension in the string as with the E string, what diameter d of string would you need to purchase to produce the desired note? Assume all strings available to you are made of the same material. Unfortunately, none of the strings in your collection have such a large diameter. In fact, the largest diameter you possess is 0.06033 in. 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 A# note?
Properties of sound
A sound wave is a mechanical wave (or mechanical vibration) that transit through media such as gas (air), liquid (water), and solid (wood).
Quality Of Sound
A sound or a sound wave is defined as the energy produced due to the vibrations of particles in a medium. When any medium produces a disturbance or vibrations, it causes a movement in the air particles which produces sound waves. Molecules in the air vibrate about a certain average position and create compressions and rarefactions. This is called pitch which is defined as the frequency of sound. The frequency is defined as the number of oscillations in pressure per second.
Categories of Sound Wave
People perceive sound in different ways, like a medico student takes sound as vibration produced by objects reaching the human eardrum. A physicist perceives sound as vibration produced by an object, which produces disturbances in nearby air molecules that travel further. Both of them describe it as vibration generated by an object, the difference is one talks about how it is received and other deals with how it travels and propagates across various mediums.
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 A# (58.3 Hz). If you were to maintain the same tension in the string as with the E string, what diameter d of string would you need to purchase to produce the desired note? Assume all strings available to you are made of the same material.
Unfortunately, none of the strings in your collection have such a large diameter. In fact, the largest diameter you possess is 0.06033 in. 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 A# note?
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