Michael Kasha of Florida State University used physics and mathematics to design a new classical guitar. The model he used for the frequency of the vibrations on a circular plate was

?
,
?
where ? 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 (see figure).
?

Estimate the frequency when the plate thickness is 2 millimeters.
?

A. Around 433
B. Around 333
C. Around 533
D. Around 233
E. None of these


Answer: B

Mathematics

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