Inner-core P-wave velocity

  1. Inner-core P-wave velocity (25 points)

A nice feature of the PREM model is that seismic velocities are inverted for polynomials.   For example, in the lower mantle between radii 3480 and 3630 km, the P-wave velocity is given in km/s as:

Vp = 15.3891 – 5.3181x + 5.5242 x2 – 2.5514x3

Don't use plagiarized sources. Get Your Custom Essay on
Inner-core P-wave velocity
Just from $10/Page
Order Essay

Where x = r/a, at radius r, with a whole Earth radius of a = 6371 km.  Given the following P-wave velocities as a function of r, invert for 2nd order polynomial that describes the inner-core P-wave velocity as a function of x, as described above.  Plot both the observations given below and your polynomial function to show that it is a good fit.

Data for this problem are:

Radius (km)     Vp (km/s)

0                      11.2607

64.3                 11.2931

128.6               11.2258

192.9               11.3040

257.2               11.2158

321.4               11.2323

385.7               11.2365

450.0               11.2199

514.3               11.2351

578.6               11.1638

642.9               11.2234

707.2               11.1809

771.5               11.1805

835.8               11.1888

900.1               11.1708

964.3               11.1207

1028.6             11.1309

1092.9             11.1166

1157.2             11.1004

1221.5             10.9902

  1. Density of the core (25 Points)

Use the acceleration of gravity at the core-mantle boundary (g = 10.7 m/s2) to find the total mass and average density of Earth’s core.

Hint: the average density is just given by:


Where a is radius.  So, you simply need to find the Mass.

Get professional assignment help cheaply

Are you busy and do not have time to handle your assignment? Are you scared that your paper will not make the grade? Do you have responsibilities that may hinder you from turning in your assignment on time? Are you tired and can barely handle your assignment? Are your grades inconsistent?

Whichever your reason may is, it is valid! You can get professional academic help from our service at affordable rates. We have a team of professional academic writers who can handle all your assignments.

Our essay writers are graduates with diplomas, bachelor, masters, Ph.D., and doctorate degrees in various subjects. The minimum requirement to be an essay writer with our essay writing service is to have a college diploma. When assigning your order, we match the paper subject with the area of specialization of the writer.

Why choose our academic writing service?

  • Plagiarism free papers
  • Timely delivery
  • Any deadline
  • Skilled, Experienced Native English Writers
  • Subject-relevant academic writer
  • Adherence to paper instructions
  • Ability to tackle bulk assignments
  • Reasonable prices
  • 24/7 Customer Support
  • Get superb grades consistently


Order a unique copy of this paper
(550 words)

Approximate price: $22

Basic features
  • Free title page and bibliography
  • Unlimited revisions
  • Plagiarism-free guarantee
  • Money-back guarantee
  • 24/7 support
On-demand options
  • Writer’s samples
  • Part-by-part delivery
  • Overnight delivery
  • Copies of used sources
  • Expert Proofreading
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Our guarantees

We value our customers and so we ensure that what we do is 100% original..
With us you are guaranteed of quality work done by our qualified experts.Your information and everything that you do with us is kept completely confidential.

Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read more

Zero-plagiarism guarantee

The Product ordered is guaranteed to be original. Orders are checked by the most advanced anti-plagiarism software in the market to assure that the Product is 100% original. The Company has a zero tolerance policy for plagiarism.

Read more

Free-revision policy

The Free Revision policy is a courtesy service that the Company provides to help ensure Customer’s total satisfaction with the completed Order. To receive free revision the Company requires that the Customer provide the request within fourteen (14) days from the first completion date and within a period of thirty (30) days for dissertations.

Read more

Privacy policy

The Company is committed to protect the privacy of the Customer and it will never resell or share any of Customer’s personal information, including credit card data, with any third party. All the online transactions are processed through the secure and reliable online payment systems.

Read more

Fair-cooperation guarantee

By placing an order with us, you agree to the service we provide. We will endear to do all that it takes to deliver a comprehensive paper as per your requirements. We also count on your cooperation to ensure that we deliver on this mandate.

Read more

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
The price is based on these factors:
Academic level
Number of pages
Open chat
You can contact our live agent via WhatsApp! Via +1 817 953 0426

Feel free to ask questions, clarifications, or discounts available when placing an order.

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