To find the frequency of a musical note given its period, you can use the formula:
\[ \text{Frequency} (f) = \frac{1}{\text{Period} (T)} \]
In this case, the period \( T \) is 0.00387 seconds.
Calculating the frequency:
\[ f = \frac{1}{0.00387} \approx 258.65 \text{ Hz} \]
This frequency is close to the commonly accepted frequency for middle C (C4), which is approximately 261.63 Hz.
Among the options you provided, 263.16 hertz is the closest representation of middle C's frequency, considering slight variations in tuning may account for the difference.
So, the answer is:
263.16 hertz.
1 answer