Recent content by kbaumen

  1. K

    Travelling close to the speed of light

    Ok, cheers guys, that explains it.
  2. K

    Travelling close to the speed of light

    Ok, yes, I admit, that year was a shot in the dark with the main thing being that different times have elapsed. So you're saying that the ship is then a lightweek away from the Earth when it stops. But the ship's clock says that is has traveled for only a day. Does that mean that the people...
  3. K

    Travelling close to the speed of light

    I'm sure this has been asked a million times but a quick search didn't give me quite definitive answers so here it goes: Imagine a spaceship traveling away from the Earth at 0.99c. For argument's sake, let's ignore the acceleration and deceleration stages of the ship (is that valid?). Simply...
  4. K

    Mean velocity in a circular pipe

    Cheers, that actually makes sense. Integrate over area and divide by area.
  5. K

    Mean velocity in a circular pipe

    Homework Statement Frictionless, inviscous flow in a circular pipe. Velocity profile, v(r) = 6 - 6r^{1.828} Volume flowrate, Q = 9 \frac{\text{m}^3}{\text{s}} Pipe radius, R = 1 m Given velocities, v(0) = 6 m/s, v(R) = 0 m/s. Find mean velocity v_{av} 2. The attempt at a solution...
  6. K

    Programming language for Mechatronics

    Have you heard about Octave?
  7. K

    Estimating Laser Force: The Relationship Between Photon Momentum and Light Power

    Not very helpful but nonetheless interesting in my opinion: My high school physics teacher had a small vacuumed glass casing with a tiny metallic axle with three metallic wings, or rather sails on it inside the casing. If the casing was placed in sunlight, the contraption inside would start...
  8. K

    How to Solve Tricky Integrals Involving x^3*sin(x^2) and Rational Functions?

    If you want to use integration by parts for the first one, there is a certain substitution that would make it quite simple. Can you see it?
  9. K

    Calc- prove sinh(x) and cosh(x) identities?

    Have you tried expanding the brackets on the numerators?
  10. K

    Integrating a Line Integral over a Parabola: A Challenging Task?

    Oh yeah, I had incorrectly input it in the wolfram integrator. The integral indeed cannot be expressed in terms of elementary functions. So how do I go about the integral I have?
  11. K

    Integrating a Line Integral over a Parabola: A Challenging Task?

    Homework Statement \int_{C}(xy+\ln{x})\mathrm{d}s where C is the arc of the parabola y=x^2 from (1,1) to (3,9) Homework Equations \int_{C}f(x,y)\mathrm{d}s = \int_{a}^{b}f(x(t),y(t))\sqrt{(\frac{dx}{dt})^2+(\frac{dy}{dt})^2}\mathrm{d}t The Attempt at a Solution Ok, so...
  12. K

    Is a Personal Whiteboard Worth Investing In for Studying Electrical Engineering?

    My mate bought his whiteboard on e-bay. 40 GBP for a 1800 x 1200 whiteboard which I think is quite big. I've been contemplating this as well, seems like a great idea. Leave a wee corner for schedule and the rest for problem solving. I've also noticed at uni that it's much better to solve...
  13. K

    Integration Tricks for Homework Statement on Electrodynamics Problem

    Sorry for not making it clear, but I was indeed referring to the dot between the function and dx.
  14. K

    Integration Tricks for Homework Statement on Electrodynamics Problem

    I assume the dot there is an accident then, it doesn't mean anything.
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