Understanding the Relationship
The speed of a wave (v), its frequency (f), and its wavelength (λ) are related by the following equation:
v = fλ
Solving for Wavelength
1. Identify the knowns:
* Speed (v) = 12 meters per second
* Frequency (f) = 3 hertz
2. Rearrange the equation to solve for wavelength (λ):
λ = v / f
3. Substitute the known values:
λ = 12 m/s / 3 Hz
4. Calculate the wavelength:
λ = 4 meters
Answer: The wavelength of the transverse wave is 4 meters.