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Material Density Sound Speed Acoustic Impedance Water 1000 kg/m 1480 m/s 1.48 1.48 MRayls Beef 1080 kg/m 1550 m/s 1.67 1.67 MRays Concrete 2300 kg/m 3650 m/s 8.39 8.4 MRayls 1. SOLUTIONS To find the acoustic impedance of a substance, in Rayls, multiply its density in kg/m, by the sound speed in m/s. Water: Zw = PWCw = (1000 kg/m)(1480 m/s) = 1.480 x 10 Rayls = 1.480 MRayls Beef: Zb = Pbcb = (1080 kg/ms)(1550 m/s) = 1.674 x 10 Rayls = 1.674 MRayls Concrete: Zc = PcCc = (2300 kg/ms)(3650 m/s) = 8.395 x 10 Rayls = 8.395 MRayls 2. Water-to-Beef (1 of 3) A sound wave traveling through water is incident on a slab of beef. (a) Calculate the reflection and transmission coefficients for water and beef. R = 0.003783 0.00378 T = 0.9962 0.996 (b) What percentage of the incident wave was reflected? Reflected = 0.3783 0.378 % (c) What percentage of the incident wave was transmitted? Transmitted = 99.62 99.6 % Ratios and Level Changes (2 of 3) (d) What is the ratio of the reflected and incident wave intensities? What then is the CHANGE in dB level between the incident and reflected waves? APR = PR - BI = (e) What is the ratio of the transmitted and incident wave intensities? What then is the CHANGE in dB level between the incident and transmitted waves? ABT = PT - BI =3. STEAK ON THE GROUND (1 of 2) You dropped a beautiful steak on the concrete sidewalk, and now you're standing there yelling at it (of course). The sound wave of your yells travels through the now ruined steak and reflects off the concrete. (a) Calculate the reflection coefficient for beef and concrete. R = 0.4455 (b) What percentage of the sound wave is transmitted into the sidewalk? Transmitted = 55.44 % (c) What is the dB level of the transmitted wave if the incident wave had an dB level of 73 dB? AT = 73 dB X Submit