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mikael mikael
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Posts: 12017
9 years ago

 
A guitar-like stringed instrument has a string that is  51 cm long. It sounds the musical note A (440 Hz) when played without fingering. How far from the end of the string should you place your finger to play the note C (523 Hz)? 
A)
 
8.1 cm 
B)
 
5.4 cm 
C)
 
11 cm 
D)
 
13 cm 
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padrepadre
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9 years ago
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mikael Author
wrote...
Donated
9 years ago
Thanks for helping, answers my question perfectly.
wrote...
2 years ago
Here's a similar question:

Quote
A violin string is 42 cm long. It sounds the musical note A (440 Hz) when played without fingering. How far from the end of the string should you place your finger to play the note C (523 Hz)?

Answer:

f = 1/2L)( sqrt(T/u)

so f1/f2 = L2/L1

L2 = 440*0.42/523

L2 = 35.3 cm

so it 42-35.3 = 6.7 cm from the other end
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