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A violin string ? = 31.6 cm long and ? = 0.65 g⁄m linear mass density is tuned to play a La4 note at 440.0 Hz. This means that the string is at its fundamental oscillation mode, that is, you will be on that note without placing a finger on it. From this information:
A. Calculate the tension in the string that keeps it in tune.
Expert Solution
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Step 1
The frequency of the violin is given by:
Here, L is the length of the string, T is the tension in the string, n is the mode of the frequency, and is the mass per unit length.
For a fundamental mode, n is equal to 1.
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