Solved: Music Michael Kasha of Florida State University used physics and mathematics to
Chapter 0, Problem 110(choose chapter or problem)
Music Michael Kasha of Florida State University used physics and mathematics to design a new classical guitar. He used the model for the frequency of the vibrations on a circular plate where is the frequency (in vibrations per second), is the plate thickness (in millimeters), is the diameter of the plate, is the elasticity of the plate material, and is the density of the plate material. For fixed values of and the graph of the equation is a line (see figure). (a) Estimate the frequency when the plate thickness is 2 millimeters. (b) Estimate the plate thickness when the frequency is 600 vibrations per second. (c) Approximate the interval for the plate thickness when the frequency is between 200 and 400 vibrations per second. (d) Approximate the interval for the frequency when the plate thickness is less than 3 millimeters. True or False?
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