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The length of a violin string varies inversely as the frequency of its vibrations. When the length increases, the frequency decreases, and when the length decreases, the frequency increases.

A violin string 18 inches long vibrates at a frequency of 350 cycles per second. Find the frequency of a 15-inch violin string.

Answer :

Final answer:

The frequency of a 15-inch violin string is approximately 1.29 cycles per second.

Explanation:

To find the frequency of a 15-inch violin string, we can use the inverse variation formula:

f = k / l

Where f is the frequency, l is the length of the string, and k is the constant of variation. We can find the value of k using the given information:

350 = k / 18

To find the frequency of a 15-inch string, we substitute the values into the formula:

f = k / 15

Substituting the value of k from the previous equation, we have:

f = (350 / 18) / 15

Simplifying the equation gives:

f ≈ 1.29 cycles per second

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