The longitudinal displacement of a mass element in a medium as a sound wave passes through it is given by s = sm cos (kx – ωt). Consider a sound wave of frequency 440 Hz and wavelength 0.75m. If sm = 12 μm, what is the displacement of an element of air located at x = 1.2 m at time t = 0.11 s?

The longitudinal displacement of a mass element in a medium as a sound wave passes through it is given by s = sm cos (kx – ωt). Consider a sound wave of frequency 440 Hz and wavelength 0.75m. If sm = 12 μm, what is the displacement of an element of air located at x = 1.2 m at time t = 0.11 s?

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Question

The longitudinal displacement of a mass element in a medium as a sound wave passes through it is given by s = s_m cos (kx – ωt). Consider a sound wave of frequency 440 Hz and wavelength 0.75m. If s_m = 12 μm, what is the displacement of an element of air located at x = 1.2 m at time t = 0.11 s?

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