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 at its fundamental oscillation mode, i.e., 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. B. If the midpoint of the string is observed to have a maximum transverse motion of 2.59 mm when in the fundamental mode, what is the maximum speed vy máx of the antinode of the string? C. If the string tension is reduced by 6.3% of the tension found in part A, what is the resulting frequency of the note produced?

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 at its fundamental oscillation mode, i.e., 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. B. If the midpoint of the string is observed to have a maximum transverse motion of 2.59 mm when in the fundamental mode, what is the maximum speed vy máx of the antinode of the string? C. If the string tension is reduced by 6.3% of the tension found in part A, what is the resulting frequency of the note produced?

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter17: Superposition And Standing Waves

Section: Chapter Questions

Problem 32P

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