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A violin string of L = 318 cm in length and u = 0.64 gim of linear mass density is tuned to play an A4 note at 440.0 Hz. This means that the string is in its mode of fundamental oscillation, that is, it will be on that note without placing any fingers on it. From this information, A. Calculate the tension in the string that will keep it in tune. ANSWER IS 50.119 N B. When playing the violin, different notes can be produced depending on the position of the fingers of one hand on the string The usual technique presses the string hard against the fretboard, reducing the length of the string that can vibrate. If we consider this string initially tuned for an A4, and a finger is placed a third of the way down from the headstock į What would be the new fundamental frequency, that is, the frequency of the new note that is being produced assuming it has the same tension as in part A?

A violin string of L = 318 cm in length and u = 0.64 gim of linear mass density is tuned to play an A4 note at 440.0 Hz. This means that the string is in its mode of fundamental oscillation, that is, it will be on that note without placing any fingers on it. From this information, A. Calculate the tension in the string that will keep it in tune. ANSWER IS 50.119 N B. When playing the violin, different notes can be produced depending on the position of the fingers of one hand on the string The usual technique presses the string hard against the fretboard, reducing the length of the string that can vibrate. If we consider this string initially tuned for an A4, and a finger is placed a third of the way down from the headstock į What would be the new fundamental frequency, that is, the frequency of the new note that is being produced assuming it has the same tension as in part A?

Physics for Scientists and Engineers, Technology Update (No access codes included)
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter17: Sound Waves
Section: Chapter Questions
Problem 17.61AP: To measure her speed, a skydiver carries a buzzer emitting a steady tone at 1 800 Hz. A friend on...
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A violin string of L= 31.8 cm in length and u = 0.64 g/m of linear mass density is tuned to play an A4 note at 440.0 Hz. This means that the string is in its mode of fundamental oscillation, that is, it will be on that note without placing any fingers on it. From this information, A. Calculate the tension in the string that will keep it in tune. ANSWER IS 50.119 N B. When playing the violin, different notes can be produced depending on the position of the fingers of one hand on the string. The usual technique presses the string hard against the fretboard, reducing the length of the string that can vibrate. If we consider this string initially tuned for an A4, and a finger is placed a third of the way down from the headstock: į. What would be the new fundamental frequency, that is, the frequency of the new note that is being produced assuming it has the same tension as in part A? ii. What would be the new frequency of the note, if instead of using the technique described above for violin playing, the technique called artificial harmonic is used, where the string is only partially pressed in such a way as to produce a node on the string? Hint: the following illustration may help you Nut Bridge 12th Fret 1/2 7th Fret Node 1/3 Sth Fret 1/4 1/5 1/6 1/7
Transcribed Image Text:A violin string of L= 31.8 cm in length and u = 0.64 g/m of linear mass density is tuned to play an A4 note at 440.0 Hz. This means that the string is in its mode of fundamental oscillation, that is, it will be on that note without placing any fingers on it. From this information, A. Calculate the tension in the string that will keep it in tune. ANSWER IS 50.119 N B. When playing the violin, different notes can be produced depending on the position of the fingers of one hand on the string. The usual technique presses the string hard against the fretboard, reducing the length of the string that can vibrate. If we consider this string initially tuned for an A4, and a finger is placed a third of the way down from the headstock: į. What would be the new fundamental frequency, that is, the frequency of the new note that is being produced assuming it has the same tension as in part A? ii. What would be the new frequency of the note, if instead of using the technique described above for violin playing, the technique called artificial harmonic is used, where the string is only partially pressed in such a way as to produce a node on the string? Hint: the following illustration may help you Nut Bridge 12th Fret 1/2 7th Fret Node 1/3 Sth Fret 1/4 1/5 1/6 1/7
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