Understanding the Relationship
* Speed (v): How fast the wave travels (meters per second).
* Wavelength (λ): The distance between two consecutive crests or troughs of the wave (in meters).
* Frequency (f): The number of wave cycles that pass a point in one second (in Hertz, Hz).
The relationship between these is:
v = fλ
Solving for Frequency
1. Convert units: Since the speed is in meters per second, we need to convert the wavelength to meters: 20 cm = 0.2 meters.
2. Rearrange the equation: To find the frequency (f), we rearrange the equation:
f = v / λ
3. Plug in the values:
f = (10 m/s) / (0.2 m)
4. Calculate:
f = 50 Hz
Therefore, the frequency of the wave is 50 Hz.