Natural Frequency and wavelength

  • Thread starter viciousp
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  • #1
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Homework Statement


The portion of a piano string between the bridge and upper end of the finger board is 0.50 meters long. The string when plucked sounds a note of 440Hz- the first harmonic.

a. where must the violinist put a finder to pay a C note- 528Hz
b Without returning, is it possible to play a D note- 294 Hz


Homework Equations


V(n)/2L=f


The Attempt at a Solution


a.
V(1)/(2)(.5)=440 Hz
V=440 m/s

528=440(1)/2L
L=.416, so the violinist must put his finger up .083 meters

b. 440(1)/2L=294
L=.748 meters, so no he can not.

Does my work make sense?
 

Answers and Replies

  • #2
Redbelly98
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Yes, looks good.
 

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