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Friction less Banked curve

  1. Jun 1, 2007 #1
    Hey I am doing a assignment on Roller coaster physics and i am to design a Roller coaster taking all the aspects of physics.

    I am stuck at my banked curve i dont know what formula to use to find the angle of the curve.
    I have seen this formula in the forums
    Tan theta=v^2/rg

    but the thing is i dont know how that formula was derived so i cant useit in my assigment unless i know how it was made.

    So if someone know how to make that formula or another forumula i can use please could you post it. Thanks

    ahh ya and i for got to say that you can ignore friction.
  2. jcsd
  3. Jun 1, 2007 #2


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    Gold Member

    Welcome to PF, Newme. I can't help you with any math stuff; I'm more of a 'hands on' guy. (No one would get on my rides in Rollercoaster Tycoon. :frown:)
    You are definitely in the right place to get the answers, though. Just hang tight and the experts will show up like rock bass on a dead minnow.
  4. Jun 1, 2007 #3
    Well here is a neat link on the forces at work on a banked curve:http://hyperphysics.phy-astr.gsu.edu/hbase/mechanics/carbank.html
    But it does include friction but it will at least give you a really good idea as to what exactly is at play here.
    Hope it helps.
  5. Jun 1, 2007 #4

    Thanks for that!!
    Ok so know with this formula
    Velocity max=sqaure root (rg tan theta)
    can be rearanged to tan theta=v^2/rg
    thanks for the help on that
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