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