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)

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ISBN:9780470458365
Author:Erwin Kreyszig
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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 dE, 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

Frequency
(vibrations per second)
700
600
500
400
300
200
100
=======|||||||||||
+
2
3 4
Plate thickness (millimeters)
Transcribed Image Text:Frequency (vibrations per second) 700 600 500 400 300 200 100 =======||||||||||| + 2 3 4 Plate thickness (millimeters)
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