Question

What is the distance travelled by sound in air when a tuning fork of frequency $256Hz$ completes $25$ vibrations? The speed of sound in air is $343m{s}^{-1}$.

Answer 1

The frequency of the fork is $256Hz$. This means that the sound waves generated by the fork take a time of $\frac{1}{256}seconds$ to complete one single oscillation.

To complete 25 oscillations, it will take $\frac{25}{256}seconds$

We know that $distance=speed\times time$

Hence the answer is $\frac{343\times 25}{256}metres=33.5metres$