The wavelength of a tone can be calculated using the formula:
Wavelength (λ) = Speed of Sound (v) / Frequency (f)
In air, the speed of sound is approximately 343 meters per second (m/s) at room temperature. Given that the frequency (f) is 450 Hz, we can substitute the values into the formula:
λ = 343 m/s / 450 Hz
This simplifies to:
λ ≈ 0.762 meters
So, the wavelength of a 450 Hz tone in air is approximately 0.762 meters, or 76.2 centimeters. This means that each cycle of the sound wave occupies this length in space.