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 = 2.6t / d2 sqrt( E/P)
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 = 2.6t / d2 sqrt( E/P)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 = 2.6t / d2 sqrt( E/P)
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 4 millimeters.
______ vibrations/sec
Transcribed Image Text:Frequency
(vibrations per second)
700
600
500
400
300
200
100
=======|||||||||||
+
2
3 4
Plate thickness (millimeters)
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