Recent content by O2F

Thank you again SteamKing, I can't believe how much time you've given to my problem. I wonder if I might be able to ask a few more questions. 1) In the line below... ... should the term we are multiplying by, sin (π/2 - α/2) not be cos(π/2 - α/2)? [I realize that we could also simplify by...

Thank you SteamKing for the very quick reply. I did originally think of something similar when I first looked at this problem and there is something here that I do not understand. If I understand what you have said, we are multiplying the circumference of the outermost external edge of the...

What is the simplest way to calculate the surface area of a region of a torus? Please see this diagram: https://www.dropbox.com/s/73eics7x43bgiwm/surface-area-torus.png?dl=0 This is a cross section through a torus, the dashed line is the central axis. I am interested in the external surface...

I would like to find the refractive index of a 1M sorbitol solution. Is there any resource out there that lists refractive indexes? Is there any way to calculate this? Thank you

I am looking at an object that diffuses randomly inside a circular plane. What is the easiest way to find the expectation value for how long would it take on average to reach the wall if it was initially placed at a random position? If it is easier: what if the initial position were the...

Thank you both for your help. I'm not sure I completely understand Andy's reply. I probably should have said at the start that I am just trying to get an estimate of the pressure at the constriction (the tightest part of the cone), I drew the tube afterwards to simplify things (in reality...

Yes, thank you, I can see this. I should have kept this simpler: look at the attached drawing, the diameters d1 and d2 and the pressure P1 are all known quantities... how can I calculate P2? Any ideas?

I have a flow through a pipe that changes in diameter to become narrower. I can measure the pressure P1 at the wider end where it is applied and I want to calculate the pressure P2 at the narrow end. I can't directly apply Bernoulli's equation here because I have no way of measuring the flow...

I'm looking for an analytical solution to a very simple problem I've come across. Start with a circle of radius a. Now place n points at random positions inside this circle. Can you calculate the expectation value for the mean distance between the points? For the sake of argument can you...