SOLUTION: The rate of vibration (f) of a string under constant tension varies inversely with the length (l) of the string. If a string is 24 inches long and vibrates 128 times per second, wh

Algebra ->  Rational-functions -> SOLUTION: The rate of vibration (f) of a string under constant tension varies inversely with the length (l) of the string. If a string is 24 inches long and vibrates 128 times per second, wh      Log On


   

Question 1137140: The rate of vibration (f) of a string under constant tension varies inversely with the length (l) of the string. If a string is 24 inches long and vibrates 128 times per second, what is the length of a string that vibrates 96 times per second?


Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+f+=+k%2A%281%2FL%29+
+128+=+k%2A%281%2F24%29+
+k+=+3072+
-----------------------
+96+=+k%2A%281%2FL%29+
+96+=+3072%2A%281%2FL%29+
+L+=+3072%2F96+
+L+=+32+
32 in