The frequency of vibrations of a vibrating violin string is given by where L is the length of the string. Tis its tension, and p is its linear density. (a) Find the rate of change of the frequency with respect to the following. (1) the length (when Tand p are constant) (ii) the tension (when L and p are constant) ( 1/(4Lv/Tp )| (ii) the linear density (when L and Tare constant) -(1/(41)(/T )(p p(¯i),

The frequency of vibrations of a vibrating violin string is given by where L is the length of the string. Tis its tension, and p is its linear density. (a) Find the rate of change of the frequency with respect to the following. (1) the length (when Tand p are constant) (ii) the tension (when L and p are constant) ( 1/(4Lv/Tp )| (ii) the linear density (when L and Tare constant) -(1/(41)(/T )(p p(¯i),

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter17: Sound

Section: Chapter Questions

Problem 144CP: A string has a linear mass density µ, a length L, and a tension of FT, and oscillates in a mode n at...

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