The frequency of vibrations of a piano string varies directly as the square root of the tension on the string and inversely as the length of the string. The middle A string has a frequency of 410 vibrations per second. Find the frequency of a string that has 1.75 times as much tension and is 1.2 times as long.

Question

The frequency of vibrations of a piano string varies directly as the square root of the tension on the string and inversely as the length of the string. The middle A string has a frequency of 410 vibrations per second. Find the frequency of a string that has 1.75 times as much tension and is 1.2 times as long.
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Quizplus · Accepted Answer

The Answer is 451.98 vibrations / sec

The Frequency of Vibrations of a Piano String Varies Directly