A string on a cello has length 1.52 m. By what length (in meters) must the strin
ID: 1431861 • Letter: A
Question
A string on a cello has length 1.52 m. By what length (in meters) must the string be shortened (i.e., what length will not be used) by fingering to increase the (fundamental) frequency by a factor of 2.42?
A string on a cello has length 1.52 m. By what length (in meters) must the string be shortened (i.e., what length will not be used) by fingering to increase the (fundamental) frequency by a factor of 2.42?
A string on a cello has length 1.52 m. By what length (in meters) must the string be shortened (i.e., what length will not be used) by fingering to increase the (fundamental) frequency by a factor of 2.42?
Explanation / Answer
f = v/2L
Now f'' = 2.42f = v/2L'
2.42 (v/2L) = v/2L'
2.42 / L = 1 / L'
L' = L / 2.42 = 1.52 / 2.42 = .62
By a factor of .62 m the length has brrn shortened.
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