What is the frequency of a sound wave in air at 20°C that has a wavelength of 0.4 m?
distance = speed time time
so
wavelength = speed of sound * period T
but
f = 1/T
so
wavelength = speed of sound / f
f = speed /wavelength
look up speed of sound at 20 C in your book (different tables available)
857.5hz?
To find the frequency of a sound wave, we can use the formula:
Frequency (f) = Speed of Sound (v) / Wavelength (λ)
The speed of sound in air at 20°C is approximately 343 meters per second.
Substituting this value along with the given wavelength of 0.4 m into the formula, we can calculate the frequency:
f = 343 m/s / 0.4 m
Simplifying this equation gives:
f = 857.5 Hz
Therefore, the frequency of the sound wave in air at 20°C with a wavelength of 0.4 m is approximately 857.5 Hz.