Understanding the Relationship
The speed of sound, frequency, and wavelength are related by the following equation:
* Speed of sound (v) = Frequency (f) × Wavelength (λ)
Solving for Frequency
1. Speed of sound in air at room temperature: The speed of sound in air at room temperature (approximately 20°C) is about 343 meters per second (m/s).
2. Rearrange the equation to solve for frequency:
* f = v / λ
3. Plug in the values:
* f = 343 m/s / 0.686 m
4. Calculate the frequency:
* f ≈ 500 Hz
Therefore, the frequency of the sound wave is approximately 500 Hertz.