Question

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 ?

Answer 1

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 `(1 " second")/(384 " vibrations")` 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

`(352 m)/cancel(s) * 0.09375 cancel(s) = 33.0 m`

I hope this helps,
Steve