SOLUTION: Solve the Variation Problem The frequency of a vibrating string varies inversely as its length. A string 3 feet long vibrates 175 cycles per second. Find the frequency of a 5 fo

Question 180804: Solve the Variation Problem
The frequency of a vibrating string varies inversely as its length. A string 3 feet long vibrates 175 cycles per second. Find the frequency of a 5 foot string.
Answer by eperette(173) (Show Source): You can put this solution on YOUR website!
Concept: Inverse Variation
If F varies inversely with L then F=k/L, where k is a constant (number)
Know: Usually in this problems, you have to find the constant before you can continue to find other frequencies or lenghts
Answer:
F=k/L
175= k/3
3(175=k/3)
3(175) = 3(k/3)
525 = k
*****
Then F = 525/5
F= 105
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