Drawback 1 Absorption coefficient  Plot the mixed classical absorption coefficient as a operate of frequency (over an acceptable acoustic vary) for each air and recent water at 20◦ C. Talk about the outcomes, together with any assumptions you're making, and make sure you cite the supply of your materials parameters. Submit each the plots and a printout of your code (possible a .m file, however as much as you). You may be graded on capacity to run the script/operate, correctness of resolution, and legibility of code.  Drawback 2 Cavitation  An sound transducer in a freshwater lake generates very intense sinusoidal aircraft waves within the water. If in the course of the unfavourable half cycle, the whole stress (ambient plus acoustic stress) turns into zero, cavitation (the manufacturing of air bubbles) could happen. Recall that the ambient stress at a depth h is given as h = p0 + ρ0gh, the place p0 is the atmospheric stress above the floor of the water, ρ0 is the water density, and g is the acceleration as a result of gravity.  What's the most acoustic depth that could be achieved with out operating the danger of cavitation at a transducer depth of 10 m? What's the SPL (re 1 μPa) that corresponds to this depth?  Drawback three Discovering a hidden sound supply  An omnidirectional level supply of sound S is immersed in a freshwater lake. An observer on the shore notes that the sound in transmitted within the air at an angle of 5◦ (referenced to the vertical) at his present location. When he strikes 1 m farther from the supply, he notes that the angle has elevated to six◦. How far-off was the observer from the supply at his authentic location, and the way deeply submerged is the supply? (See Blackstock Drawback 5-2 for a sketch of the geometry)  Drawback four Modes of a water tank  A water tank of width W , size L, and top H has inflexible ends and backside, stress launch sides, and an open prime. (a) Discover an expression for plmn, the stress of the (lmn)th mode (b) Discover an expression for flmn, the frequencies of the conventional modes. What are the allowed, non-trivial values of l, m, and n?  (c) A tank of W =zero.5ft,L=2ft,andH =1ftisfilledwithfreshwaterat20◦C. Checklist the six lowest nontrivial modes and their indices so as of accelerating frequency.  Drawback 5 Derive the conservation of mass for the three-dimensional acoustic wave equation  Begin with a small fluid component fastened in area. The change in mass in all three dimensions should equal the change in mass of all the component. 
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