Understanding the Relationship
* Frequency (f): How many waves pass a point per second (measured in Hertz, Hz).
* Wavelength (λ): The distance between two consecutive peaks or troughs of a wave (measured in meters, m).
* Speed of Propagation (v): How fast the wave travels through a medium (for sound in air, this is approximately 343 m/s at room temperature).
The relationship between these is:
v = fλ
Calculating the Wavelength
1. Assume a medium: We need to know the speed of the wave. Let's assume the wave is traveling through air.
2. Use the speed of sound: The speed of sound in air is approximately 343 m/s.
3. Solve for wavelength:
* λ = v / f
* λ = 343 m/s / 25 Hz
* λ = 13.72 meters
Therefore, the wavelength of a 25 Hz sine wave traveling through air is approximately 13.72 meters.
Important Note: The wavelength will change if the wave is traveling through a different medium (like water or a solid) because the speed of propagation will be different.
