In Exercises 103 106, use the following information. Michael Kasha, of Florida State
Chapter 2, Problem 103(choose chapter or problem)
In Exercises 103 –106, use the following information. Michael Kasha, of Florida State University, used physics and mathematics to design a classical guitar. He used the model for the frequency of the vibrations on a circular plate
\(v=\frac{2.6 t}{d^{2}} \sqrt{\frac{E}{\rho}}\)
where v is the frequency (in vibrations per second), t is the plate thickness (in millimeters), d is the diameter of the plate, E is the elasticity of the plate material, and is the density of the plate material. For fixed values of d, E, and, the graph of the equation is a line, as shown in the figure.
Estimate the frequency when the plate thickness is 2 millimeters.
Text Transcription:
v=2.6t/d^2 sqrtE/rho
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