Recent content by FermatPell

  1. F

    Learn Math & Physics on Your Own: Tips for Middle Schoolers

    Of course you can. You can study almost anything on your own, if you're an intelligent person (which you obviously are) and you have internet. Check out MITOCW and other MOOCs.
  2. F

    Tracing seismic rays - possible intersection

    This problem is about seismic wave propagation in a non-homogeneous layer over a halfspace. I'm not asking you to solve anything, I've already solved the problem both algebraically and in Matlab. However, the graph that I've gotten mildy surprises me. According to the graph, the seismic rays...
  3. F

    Schools Graduate school without ANY research experience

    Hello, By next summer I'll have completed my bachelor's degree in geophysics at the University of Zagreb (Croatia). My GPA is perfect (5.0/5.0, although i know that a good gpa from a globally unknown university doesn't stand for much), my GRE's are great (General test, quant-170, verbal-160)...
  4. F

    A hypothetical machine (fluid expansion)

    Also, the coefficients are thermal expansion (volumetric coefficents) are small numbers. Let's take for instance ethanol (which expands quite a lot) whose β=750*10^(-6) K^-1. Do you agree that thermal expansion will be too negligible to produce any significant work, like closing/opening the...
  5. F

    A hypothetical machine (fluid expansion)

    Hello, Imagine that we have a fluid heated up by solar energy (every day during sunlight). Due to higher temperature it would undergo thermal expansion and do some mehanical work while expanding, right? And during night it would cool down and hence compress and do some negative mechanical...
  6. F

    Physics Bachelor of science in geophysics

    Hello, is it (generally, i know it depends individually) possible to enroll in a PhD program (in U.S.) in physics or computer science with a bachelor of science in Geophysics? i know there's no simple answer but does anyone know what the general requirements for a PhD are? Do most universities...
  7. F

    What's wrong with this wind turbine concept?

    Hello, a friend of mine has a "revolutionary" idea about harvesting wind power by using a "translational turbine". however, it all sounds silly to me. this is what it should look like: is this a good idea for a wind "turbine"?
  8. F

    RLC Low-Pass Circuit: Find Current in Resistor

    Homework Statement Find the current through the resistor in the following RLC low-pass circuit: (there's an EMF missing on the left side, V=Vo cos(omega*t) Homework Equations Kirchoff's loop ruleThe Attempt at a Solution By using Kirchoff's loop rule and the junction rule, i get two...
  9. F

    Taylor series (very easy but have a problem)

    Homework Statement series expansion at c=2 of ln(x^2+x-6) Homework Equations The Attempt at a Solution After substituting y= x -2 we get ln(y^2+5y) = ln(y) + ln(y+5) but I am not kinda sure how to use the taylor series of ln(1+x)...
  10. F

    Finding P(n) for a Challenging Sum Series: A Hint for Simplifying the Expression

    No, you misunderstood it. i is not an imaginary term, its a variable (integer) that goes from 2 to n
  11. F

    Finding P(n) for a Challenging Sum Series: A Hint for Simplifying the Expression

    Substitute u=sqrt(k+1), v=sqrt(k+x). After some algebra, the final solution is: P(n) = (n-1) \frac{\pi}{2} - \sum\limits_{i=2}^n \arctan(\sqrt{i}) Now i need another way to write that
  12. F

    Finding P(n) for a Challenging Sum Series: A Hint for Simplifying the Expression

    Is there a simpler form of this? $\sum\limits_{i=2}^n \arctan(\sqrt{i})$
  13. F

    Finding P(n) for a Challenging Sum Series: A Hint for Simplifying the Expression

    I've tried that I the result was really ugly. Something like this: a = \frac{\frac{x-1}{(k+x+1)sqrt(k+1)}+sqrt(C)}{2} where C is a very complicated fraction. I don't think that's the way to go EDIT: I've succeeded. :D :D but followed a different path.. MOD's please delete this post, i don't...
  14. F

    Finding P(n) for a Challenging Sum Series: A Hint for Simplifying the Expression

    Homework Statement Let P(x) = \displaystyle\sum\limits_{k=1}^\infty arctan (\frac{x-1}{(k+x+1)sqrt(k+1) + (k+2)sqrt(k+x)}) (infite sum from K=1 to infinity) a) Simplify the expression for P(n), where n is a non-negative integer Homework Equations...
  15. F

    A simple capacitors related question

    Homework Statement Consider two identical capacitors with parallel plates (the distance between the plates is (d). In each of them a metal (thickness d/3, surface equal to the plates surface) is placed right in between the plates. In one of them a metal part is connected to the upper plate, an...
Back
Top