We know that in a sound wave there are three associated waves: a longitudinal displacement wave, a pressure wave and a density wave. Assuming that the displacement wave is harmonica: y(x,t)=y0sin(kx-ωt) where y0 is the displacement amplitude. (a) determine the expression of the pressure wave p(x,t) (b) of the pressure wave expression identifies the amplitude or maximum pressure value pmax, shows that it can be written as: pmax = ρv0ky0 where v0 is the phase velocity of the wave and ρ the density of the gas (c) if the sound weaker than a person can hear at the frequency of 400 Hz corresponds to a pressure amplitude of approximately 8 x 10-5 Pa, what is the corresponding amplitude of displacement. Suppose the gas is air whose density it is ρ=1.3 kg/m3 and the phase velocity of sound in air is v0 = 340m/s

We know that in a sound wave there are three associated waves: a longitudinal displacement wave, a pressure wave and a density wave. Assuming that the displacement wave is harmonica: y(x,t)=y0sin(kx-ωt) where y0 is the displacement amplitude. (a) determine the expression of the pressure wave p(x,t) (b) of the pressure wave expression identifies the amplitude or maximum pressure value pmax, shows that it can be written as: pmax = ρv0ky0 where v0 is the phase velocity of the wave and ρ the density of the gas (c) if the sound weaker than a person can hear at the frequency of 400 Hz corresponds to a pressure amplitude of approximately 8 x 10-5 Pa, what is the corresponding amplitude of displacement. Suppose the gas is air whose density it is ρ=1.3 kg/m3 and the phase velocity of sound in air is v0 = 340m/s