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

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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