Understanding the Relationship
* Speed of Sound: The speed of sound in air is approximately 343 meters per second (m/s) at room temperature.
* Wavelength (λ): The distance between two consecutive crests (or troughs) of a wave.
* Frequency (f): The number of wave cycles that pass a point per second.
Formula
The relationship between speed, wavelength, and frequency is:
* Speed (v) = Wavelength (λ) * Frequency (f)
Calculation
1. Rearrange the formula to solve for frequency:
* f = v / λ
2. Plug in the values:
* f = 343 m/s / 5 m
3. Calculate:
* f = 68.6 Hz
Answer:
The frequency of a sound wave with a wavelength of 5 meters in air would be approximately 68.6 Hz. This is a very low frequency, below the range of human hearing (typically 20 Hz to 20,000 Hz).