1. The violin is an instrument with four strings E, A, D, and G, with E being the thinnest and G being the thickest. The diameter of the E string (the highest frequency) on a violin is 0.25 mm. The ratio of the frequencies of adjacent strings is 3 to 2. Assuming that the strings are made of steel and have the same tension, calculate the diameters of the A, D, and G strings. Hint: How is the fundamental frequency related to the velocity of the wave? How is the velocity related to the mass per unit length of the string? The string can be thought of as a long cylinder. Establish a relationship between the frequency and the diameter of the string. Which string has the higher frequency, the thinner or the thicker string? (a) Diameter of A: V mm (b) Diameter of D: (c) Diameter of G: V mm

1. The violin is an instrument with four strings E, A, D, and G, with E being the thinnest and G being the thickest. The diameter of the E string (the highest frequency) on a violin is 0.25 mm. The ratio of the frequencies of adjacent strings is 3 to 2. Assuming that the strings are made of steel and have the same tension, calculate the diameters of the A, D, and G strings. Hint: How is the fundamental frequency related to the velocity of the wave? How is the velocity related to the mass per unit length of the string? The string can be thought of as a long cylinder. Establish a relationship between the frequency and the diameter of the string. Which string has the higher frequency, the thinner or the thicker string? (a) Diameter of A: V mm (b) Diameter of D: (c) Diameter of G: V mm

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter14: Sound

Section: Chapter Questions

Problem 47P: A steel wire with mass 25.0 g and length 1.35 m is strung on a bass so that the distance from the...

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