Recent content by kennethgilpin

  1. K

    Is It Possible to Solve cos(a + 90 - b) = k.a for a Given b and k?

    Ahh, I remember this from school. Presumably it only works if you can find a derivative of the original function.
  2. K

    Is It Possible to Solve cos(a + 90 - b) = k.a for a Given b and k?

    Thank you for your detailed replies. although I was pretty handy at maths, that was 'A' level which was almost 20 years ago, so I don't understand the notation in micromasses answer. I'm a physiological modeller, and solved the equation by induction, i.e. by knowing my upper and lower...
  3. K

    Is It Possible to Solve cos(a + 90 - b) = k.a for a Given b and k?

    hi, quick question, is it possible to solve an equation of the type: cos(a + 90 - b) = k.a to find a where b and k are known? Do you have to solve this by iteration? kenneth
  4. K

    Calculating the dimensions of an arc

    thank you for your replies. @likeSerena - i got similar equations to you which I could not solve. This is for use within an iterative model so I will try to solve it iteratively. kenneth
  5. K

    Calculating the dimensions of an arc

    Dear all, I feel this should be a simple problem but I can't solve it. Could you give me a hand? Imagine if an arc is bounded by a rectangle of dimensions width and height. The arc starts in the bottom left corner of the rectangle, and ends in the bottom right corner. The apex of the...
  6. K

    Calculating change in velocity with resistance

    thank you for your reply. I've been using a mixture of your code and mine and it's been working well. I think that there is another regime and i wanted your opinion/help for it: where, speed is above vt _and_ speed opposes the force. once again you would still need a 'tz' time parameter...
  7. K

    Calculating change in velocity with resistance

    Filip thank you a thousand times for your help with this problem. I just wanted to tie this thread off in case someone else comes here looking for a solution. You can see that I've used some of the formula above but haven't written in the need to decelerate (or accelerate) the particle to...
  8. K

    Calculating change in velocity with resistance

    thank you all of the formula work wonderfully. You haven't defined v in the case of f being negative, and also v0 > vt. I assumed it might be: v = v_t \cot(\cot^{-1}(v_0/v_t)-\lambda t) (can't find the Latex for arccot!) but this doesn't work out, and when I...
  9. K

    Calculating change in velocity with resistance

    thank you for your quick reply. The function seems to work well in with a few test examples I've just put in. the problem is for my use is with deceleration due to a change in direction of the force, f. if I have a positive velocity, v0, but a negative force, f, then function (2) does not...
  10. K

    Calculating change in velocity with resistance

    Hi everyone, I'm a doctor who is fair at maths - haven't done physics for a while. I'm trying to model some heart physiology which I can describe as a mechanics problem: I have a particle, mass m, with a constant force acting on it, f. It also has resistance R, where the resistance is...
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