Understanding the Relationship
* Speed (v): The speed of a wave is how fast it travels through a medium.
* Frequency (f): The frequency of a wave is the number of wave cycles that pass a point per second.
* Wavelength (λ): The wavelength is the distance between two corresponding points on consecutive waves (e.g., crest to crest).
These are related by the following equation:
v = fλ
Solving for Wavelength
1. Convert speed to meters per second (m/s):
3 km/s = 3000 m/s
2. Rearrange the equation to solve for wavelength (λ):
λ = v / f
3. Plug in the values:
λ = 3000 m/s / 12 Hz
4. Calculate the wavelength:
λ = 250 meters
Therefore, the wavelength of the wave is 250 meters.