Figure shows the output from a pressure monitor mounted at a point along thepath taken by a sound wave of a single frequency traveling at 343 m/s through air with a uniform density of 1.21 kg//m^3. The vertical axis scale is set by Delta p = 5.0 mPa. Ifthe displacement function of the wave is s(.x, t) = s_mcos(kx - omega t) , what are (a) s_m(b) k, and (c) omega ? The air is then cooled so that its density is 1.35 kg/m and the speed of a sound wave through it is 320 m/s. The sound source again emits the sound wave at the same frequency and same pressure amplitude. What now are (d)s_m, (c ) k, and (f) omega ?

Figure shows the output from a pressure monitor mounted at a point alo

1.	Figure shows the output from a pressure monitor mounted at a point along thepath taken by a sound wave of a single frequency traveling at 343 m/s through air with a uniform density of 1.21 kg//m^3. The vertical axis scale is set by Delta p = 5.0 mPa. Ifthe displacement function of the wave is s(.x, t) = s_mcos(kx - omega t) , what are (a) s_m(b) k, and (c) omega ? The air is then cooled so that its density is 1.35 kg/m and the speed of a sound wave through it is 320 m/s. The sound source again emits the sound wave at the same frequency and same pressure amplitude. What now are (d)s_m, (c ) k, and (f) omega ?
Answer» Solution :`(a) 343 m//s , (B) 9.2rad//m (c ) 3142 rad//s ~~ 3.1 xx 10^3 rad//s , (d) 7.4 NM, (e ) 9.8 rad//m , (f) 3142 rad//s ~~ 3.1 xx 10^3 rad//s`

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