Understanding the Relationship
* Speed of sound (v): The speed at which sound travels through a medium (in this case, air).
* Wavelength (λ): The distance between two consecutive crests or troughs of a wave.
* Frequency (f): The number of waves that pass a point in one second.
These three are related by the following equation:
v = fλ
Solving for Frequency
1. Rearrange the equation: To solve for frequency (f), divide both sides of the equation by wavelength (λ):
f = v / λ
2. Plug in the values:
* v = 340 m/s (speed of sound)
* λ = 0.68 m (wavelength)
3. Calculate:
f = 340 m/s / 0.68 m
f ≈ 500 Hz
Therefore, the frequency of the wave is approximately 500 Hz.