Recent content by vmedica

Thanks for your help. I have been researching the tornado and wikipedia says the water condense due to adiabatic cooling. I know that means P1-γTγ=constant and they also give γ suggesting this is perhaps the correct approach to part d). I understand that with the equation for pressure, i need to...

You have the general idea but the conservation of momentum equation needs a bit of modification. The momentum before is correct but the momentum after forgets the momentum of the first ball. It might turn out the the momentum of the first ball is 0 after the collision but this should come from...

For my working, P=∫ρairv2/r dr and then I got a ln(r) term which I can now see is wrong. For a later part (3b inside the tornado) they assume that it is a rigid body so so v~r. Would it be sensible to assume irrotational flow and what other things exhibit this kind of flow? Also, would the...

Homework Statement I am currently stuck on parts 2b,c and d of this problem. http://www.wopho.org/download/Theoretical_3_Tornado.pdf Homework Equations The Attempt at a Solution For part 2b, I use the the equation from part 2a and just integrate. I know that as we exit the tornado...

That makes sense now. Thank you for your help.

Differential length is √(r2+(dr/dθ)2). Do you mean the tangential component of the velocity? For that, I get √(ds2-dr2). (Using v=r dθ and ds2=(r dθ)2+dr2). Or do you mean the tangent to the curve at that point, if ds is a straight line at that point, then v=ds/dt. This looks better, so...

Well my idea is that since I have the velocity of the particle in the direction of the path, then would the time just be ∫(a*cos2(θ)/v(θ))dθ integrated between the two angles I want ( f(v) is the velocity along the path as a function of theta). The main problem is see with this is that r dθ is...

Homework Statement I have a path defined in polar coordiantes defined as r=a*cos2(θ). I also have the velocity along this path as a function of θ. I want to find the time take to move between two given angles on the path.2. The attempt at a solution I know that this problem will involve some...

Homework Statement A cubic container with sidelength l has a small hole with cross sectional area a (a<<l). The gas has density ρ and pressure P. Find the initial rate of gas leakage given that the outside pressure is 0. Homework Equations The question mentions the formula p=ρc2/3 so...

Homework Statement The problem is page 5 on: http://www.physics.ox.ac.uk/olympiad/Downloads/PastPapers/Paper3_2010_.pdf I will just summarise the question: The refractive index of space,n, at a distance r from the sun is given by √(1+5920/r). The light from a distant star is deflected by a...