53. The rate of vibration of a string under constant tension varies inversely with the length 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 64 times per second?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
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53. The rate of vibration of a string under constant tension
varies inversely with the length 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 64 times per
second?
Transcribed Image Text:53. The rate of vibration of a string under constant tension varies inversely with the length 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 64 times per second?
Expert Solution
Step 1

lets say

vibration per second =v

length = l

as per data

v1lv1l1=v2l2

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