Recent content by Juxtaroberto

  1. J

    Undergrad Understanding Relativistically Spinning Disk/Ring: Lorentz Boosts

    Could you elaborate on this point a little further? How does the relativity of simultaneity affect the answers to the questions I'm making? Or, perhaps, how have I assumed simultaneity in the way I worded the question?
  2. J

    Undergrad Understanding Relativistically Spinning Disk/Ring: Lorentz Boosts

    So that means I replace t by what it equals in terms of t' and x'? Is it really as simple as that? Meaning, take the first component of my 4-velocity. Does it change into (γ_ω)(γ_v)c+(γ_ω)(γ_v)*(v/c)*ωRsin(ω*(γ_v)[t'+vx'/c^2])? That then leads me to another question: how do I check that this...
  3. J

    Undergrad Understanding Relativistically Spinning Disk/Ring: Lorentz Boosts

    Do I use the Lorentz transformation formulas to do this? Meaning, t'=γ(t-vx/c^2), etc.? Which γ would this be, then?
  4. J

    Undergrad Understanding Relativistically Spinning Disk/Ring: Lorentz Boosts

    Alright. I just didn't want to make it look like a homework post. For the 4-velocity of the circle/annulus, I came up with γ_ω*[c, -Rωsin(ωt), Rωcos(ωt), 0]. Using u⋅u=-c^2 I found that γ_ω=(1-[Rω/c]^2)^(-1/2). So far, this is just a spinning circle of radius R, centered at (0,0). I then...
  5. J

    Undergrad Understanding Relativistically Spinning Disk/Ring: Lorentz Boosts

    I'm trying to understand the relativistically spinning disk within the framework of SR (if that is even possible). I thought to first simplify the problem by considering a spinning ring/annulus, but I don't know if my analysis is correct. I imagined a spinning ring of radius R, spinning at an...
  6. J

    Finding distance given two different velocities and times?

    The formulas you are using are for constant acceleration, but there isn't constant acceleration overall. There is zero acceleration for the first 9.0 s, and then there is non-zero acceleration from then until the end of the problem. You cannot apply these formulas over the entire interval in...
  7. J

    Isobaric/isochoric (?) heating of an ideal gas

    But the last term isn't V, it's ΔV, so no matter what P is, PΔV for an isochoric process will be 0, because volume doesn't change (ΔV=0). I feel that this is a safe assumption, since you were given CV, which is the specific heat at constant volume.
  8. J

    Undergrad Differentiated values are treated just like any other variable, right?

    http://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.596257.html One of the steps leads us to A=2x√(r2-x2). The page then says that we could differentiate at this step, but that it would be easier to first square both sides, so as to not have to...
  9. J

    Rate word problem: speed of a plane in still air and distance traveled.

    Homework Statement So, I don't have the actual problem in front of me, but from my scribbles I can make out all the information the word problem gave. A plane flies from one place to another with the wind in 6 hours, and back against the wind, in 7 hours. The speed of the plane in still air is...
  10. J

    Graduate Pauli exclusion principle, quantum states, and lasers?

    Thanks, you guys have been really helpful. Although, let me rephrase that question... should photons cease to be bosons and become fermions, for whatever reason, is there anything in the nature of lasers that could go against the Pauli exclusion principle?
  11. J

    Graduate Pauli exclusion principle, quantum states, and lasers?

    So, unless I'm greatly misunderstanding, does that mean two bosons can be in the same place at the same time? What about composite bosons?
  12. J

    Graduate Pauli exclusion principle, quantum states, and lasers?

    As I understand it, the Pauli exclusion principle states that no two like fermions can be in identical quantum states. I also understand that the quantum states are thus: n, which is the electron shell, l, which is the subshell, m_{l}, which is orbital, and m_{s}, which is spin. However, it...