# The frequency of a tuning fork is 384 per second and velocity of sound in air is 352 m/s. How far the sound has traveled while the fork completes 36 vibrations ?

Jan 2, 2018

The sound travels 33.0 m while the tuning fork vibrates thru 36 vibrations.

#### Explanation:

Since 384 vibrations and 1 second are equivalent time periods, the value of $\left(1 \text{ second")/(384 " vibrations}\right)$ is unity. So we can use that as a conversion factor.

36 cancel(" vibrations") * (1 " second")/(384 cancel(" vibrations")) = 0.09375 s

In that amount of time, sound travels

$\frac{352 m}{\cancel{s}} \cdot 0.09375 \cancel{s} = 33.0 m$

I hope this helps,
Steve