The sound wave propagates through steel at a speed of 5000 m / s. Determine the frequency of this wave if its length is 6.16 m.

Given:

u = 5000 meters per second – the speed of propagation of a sound wave in steel;

l = 6.16 meters – the length of the sound wave.

It is required to determine v (Hertz) – the frequency of the sound wave.

Let’s find the period of the sound wave:

T = l / u = 6.16 / 5000 = 0.001232 seconds.

Then, to determine the frequency of the sound wave, you must use the following formula:

v = 1 / T = 1 / 0.001232 = 812 Hertz (the result has been rounded to the nearest whole).

Answer: The frequency of a sound wave in steel is 812 Hertz.