High School

The D string on a violin has a frequency of 293 Hz when in tune. Calculate the period.

Answer :

Final answer:

The period of the D string on a violin when in tune, with a frequency of 293 Hz, is 0.00341 seconds or 3.41 milliseconds. This is calculated using the period-frequency relationship formula: T = 1/f, where T is the period and f is the frequency.

Explanation:

The period of a wave is the time it takes to complete one cycle. It can be calculated using the formula: T = 1/f where T is the period and f is the frequency of the wave. In this case, the frequency of the D string on a violin when in tune is 293 Hz. Applying this value to the formula, the period would be:

T = 1/293 Hz = 0.00341 seconds (or 3.41 milliseconds)

This means the D string on a violin completes one cycle every 3.41 milliseconds when in tune.

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