Problem 1 Absorption coefficient 
Plot the combined classical absorption coefficient as a function of frequency (over an appropriate acoustic range) for both air and fresh water at 20◦ C. Discuss the results, including any assumptions you are making, and be sure to cite the source of your material parameters. Submit both the plots and a printout of your code (likely a .m file, but up to you). You will be graded on ability to run the script/function, correctness of solution, and legibility of code. 
Problem 2 Cavitation 
An sound transducer in a freshwater lake generates very intense sinusoidal plane waves in the water. If during the negative half cycle, the total pressure (ambient plus acoustic pressure) becomes zero, cavitation (the production of air bubbles) may occur. Recall that the ambient pressure at a depth h is given as h = p0 + ρ0gh, where p0 is the atmospheric pressure above the surface of the water, ρ0 is the water density, and g is the acceleration due to gravity. 
What is the maximum acoustic intensity that may be achieved without running the risk of cavitation at a transducer depth of 10 m? What is the SPL (re 1 μPa) that corresponds to this intensity? 
Problem 3 Finding a hidden sound source 
An omnidirectional point source of sound S is immersed in a freshwater lake. An observer on the shore notes that the sound in transmitted in the air at an angle of 5◦ (referenced to the vertical) at his current location. When he moves 1 m farther from the source, he notes that the angle has increased to 6◦. How far away was the observer from the source at his original location, and how deeply submerged is the source? (See Blackstock Problem 5-2 for a sketch of the geometry) 
Problem 4 Modes of a water tank 
A water tank of width W , length L, and height H has rigid ends and bottom, pressure release sides, and an open top.
(a) Find an expression for plmn, the pressure of the (lmn)th mode
(b) Find an expression for flmn, the frequencies of the normal modes. What are the allowed, non-trivial values of l, m, and n? 
(c) A tank of W =0.5ft,L=2ft,andH =1ftisfilledwithfreshwaterat20◦C. List the six lowest nontrivial modes and their indices in order of increasing frequency. 
Problem 5 Derive the conservation of mass for the three-dimensional acoustic wave equation 
Start with a small fluid element fixed in space. The change in mass in all three dimensions must equal the change in mass of the entire element. 

Don't use plagiarized sources. Get Your Custom Essay on
Just from $13/Page
Order Essay
Achiever Essays
Calculate your paper price
Pages (550 words)
Approximate price: -

Why Work with Us

Top Quality and Well-Researched Papers

We always make sure that writers follow all your instructions precisely. You can choose your academic level: high school, college/university or professional, and we will assign a writer who has a respective degree.

Professional and Experienced Academic Writers

We have a team of professional writers with experience in academic and business writing. Many are native speakers and able to perform any task for which you need help.

Free Unlimited Revisions

If you think we missed something, send your order for a free revision. You have 10 days to submit the order for review after you have received the final document. You can do this yourself after logging into your personal account or by contacting our support.

Prompt Delivery and 100% Money-Back-Guarantee

All papers are always delivered on time. In case we need more time to master your paper, we may contact you regarding the deadline extension. In case you cannot provide us with more time, a 100% refund is guaranteed.

Original & Confidential

We use several writing tools checks to ensure that all documents you receive are free from plagiarism. Our editors carefully review all quotations in the text. We also promise maximum confidentiality in all of our services.

24/7 Customer Support

Our support agents are available 24 hours a day 7 days a week and committed to providing you with the best customer experience. Get in touch whenever you need any assistance.

Try it now!

Calculate the price of your order

Total price:

How it works?

Follow these simple steps to get your paper done

Place your order

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Receive the final file

Once your paper is ready, we will email it to you.

Our Services

No need to work on your paper at night. Sleep tight, we will cover your back. We offer all kinds of writing services.


Essay Writing Service

No matter what kind of academic paper you need and how urgent you need it, you are welcome to choose your academic level and the type of your paper at an affordable price. We take care of all your paper needs and give a 24/7 customer care support system.


Admission Essays & Business Writing Help

An admission essay is an essay or other written statement by a candidate, often a potential student enrolling in a college, university, or graduate school. You can be rest assurred that through our service we will write the best admission essay for you.


Editing Support

Our academic writers and editors make the necessary changes to your paper so that it is polished. We also format your document by correctly quoting the sources and creating reference lists in the formats APA, Harvard, MLA, Chicago / Turabian.


Revision Support

If you think your paper could be improved, you can request a review. In this case, your paper will be checked by the writer or assigned to an editor. You can use this option as many times as you see fit. This is free because we want you to be completely satisfied with the service offered.

Live Chat+1(978) 822-0999EmailWhatsApp

Order your essay today and save 20% with the discount code RESEARCH