(a) The speed of sound in air at a given temperature can be calculated using the following formula:
v = 331.4 + 0.6 * T
where v is the speed of sound in m/s, and T is the air temperature in ºC.
For an air temperature of 20.0ºC:
v = 331.4 + 0.6 * 20.0
v ≈ 343.4 m/s
The speed of sound in air at 20.0ºC is approximately 343.4 m/s.
(b) To find the wavelength corresponding to the lower frequency limit for human hearing (20.0 Hz), we can use the formula:
λ = v / f
where λ is the wavelength, v is the speed of sound in m/s, and f is the frequency in Hz.
λ = 343.4 m/s / 20.0 Hz
λ ≈ 17.17 m
The corresponding wavelength for the lower frequency limit for human hearing at 20.0ºC is approximately 17.17 meters.
The lower frequency limit for human hearing is usually considered to be 20.0 Hz. (a) What is
the speed of sound in m/s if the air temperature is 20.0ºC? (b) What is the corresponding
wavelength for this frequency?
1 answer