Question

The speed of sound is 346 m/s. If a sound wave travels at a frequency of 55 Hz, what would its wavelength be

Answer 1

Answer:

Step-by-step explanation:

Sound waves are longitudinal waves that travels through a medium usually air and this is the most important of all the mechanical waves that occur in nature in  our everyday lives. To solve this problem, we must use the equation:

$v=\lambda f \\ \\ where: \\ \\ v: \ velocity \\ f: \ frequency \\ \lambda: \ wavelength$

So our goal is to find $\lambda$ Therefore:

$\lambda=\frac{v}{f} \\ \\ v=346m/s \\ \\ f=55Hz \\ \\ \lambda=\frac{346}{55}=6.29m$

Answer 2

Answer: 6.29 meters.

Step-by-step explanation:

The formula to find the wavelength is given by :-

$\lambda=\dfrac{v}{f}$ , where v is the speed of wave and f is the frequency of wave.

We are given that ,

The speed of sound is 346 m/s.

i..e v=346 m/s

A sound wave travels at a frequency of 55 H.

i..e f=55 Hz

Then, the  wavelength = $\lambda=\dfrac{346}{55}$

$=6.2909090909\approx6.29\ m$

Hence, the wavelength would be 6.29 meters.