Here we know a frequency, and from this we want to find the wavelength of a soundwave with that frequency.
We will see that the solution is: Wavelength = 69.46cm
The equation we need to use is:
- v = λ*f
- Where:
- v = velocity
- λ = wavelength
- f = frequency.
In this particular case we know that the frequency is:
f = 493.88 Hz
And the velocity of the wave is:
v = 343.06 m/s
We can replace these in the general equation:
343.06 m/s = λ*(493.88 Hz)
(343.06 m/s)/(493.88 Hz) = λ
0.6946 m = λ
And we want to write this in centimeters, remember that:
1m = 100cm
Then:
λ = 0.6946 m = 0.6946*(100cm) = 69.46cm
If you want to learn more, you can read:
https://brainly.com/question/12924624
