Understanding the Relationship
* Frequency (f): The number of sound wave cycles passing a point per second (measured in Hertz - Hz).
* Wavelength (λ): The distance between two consecutive crests or troughs of a wave (measured in meters - m).
* Speed of Sound (v): The speed at which sound travels through a medium (approximately 343 m/s in air at room temperature).
The Formula
The relationship between these three is:
v = fλ
Solving for Wavelength
1. Rearrange the formula to solve for wavelength: λ = v / f
2. Plug in the values:
* v = 343 m/s (speed of sound in air)
* f = 680 Hz (frequency of the tone)
3. Calculate: λ = 343 m/s / 680 Hz = 0.504 m
Answer: The wavelength of a 680 Hz tone moving through air is approximately 0.504 meters.
