SOLUTION: the frequency(F) of vibration of a string varies inversely with the length(L). knowing that a rope 15 cm long vibrates at a frequency of 128 v/s, what would be the length of a stri

Algebra ->  Algebra  -> Expressions-with-variables -> SOLUTION: the frequency(F) of vibration of a string varies inversely with the length(L). knowing that a rope 15 cm long vibrates at a frequency of 128 v/s, what would be the length of a stri      Log On

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Question 127140: the frequency(F) of vibration of a string varies inversely with the length(L). knowing that a rope 15 cm long vibrates at a frequency of 128 v/s, what would be the length of a string vibrates at 192 v/s?
Answer by scott8148(5895) About Me  (Show Source):
You can put this solution on YOUR website!
"the frequency(F) of vibration of a string varies inversely with the length(L)"
__ FL=k

"a rope 15 cm long vibrates at a frequency of 128 v/s" __ 128*15=k __ 1920=k

"what would be the length of a string vibrates at 192 v/s" __ 192*L=1920