SOLUTION: The rate of vibration​ (in oscillations per​ second) V of a string under constant
tension varies inversely with the length L.
​(a) If a string is 33 inches long
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tension varies inversely with the length L.
​(a) If a string is 33 inches long
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Question 1075044: The rate of vibration (in oscillations per second) V of a string under constant
tension varies inversely with the length L.
(a) If a string is 33 inches long and vibrates 690 times per second, find a function
that relates the rate of vibration to the length of a string.
(b) What is the rate of vibration of a string that is 46 inches long? Answer by ikleyn(52810) (Show Source):
It is NEVER used. Let me tell you (under the secret) that such a term DOES NOT EXIST.
The number of oscillations per second is FREQUENCY.
It is the standard naming for this conception.
Solution
The condition says that the frequency f is
f = k/L,
where k is the constant coefficient, L is the length of the string.
Additionally, the condition says that
690 = , which gives k = .
Thus f = .
If L = 46 inches, then the frequency is
f = .
Calculate.
