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Energy loss due to drag

  1. Oct 22, 2012 #1
    I'm carrying on a research project in my school about roller coasters and I'm wondering if the following question is right.

    I have a drag force which equation is [itex]\frac{1}{2}\rho·v^{2}·C_{D}·A[/itex] where [itex]\rho[/itex] is air density; [itex]v^{2}[/itex] is squared velocity, [itex]C_{D}[/itex] is drag coeficient and [itex]A[/itex] is effective area.

    I want to know the energy loss due to drag, so the [itex]W_{Fair}[/itex] done by the air.
    Is there any [itex]\int[/itex]integral which I can use to calculate its area and so the energy loss? It will be like a free falling object as it doesn't have any source of extra-proportion of kinetic energy, like engines.

    By the way, I'm looking for any formula which I can use to calculate the effects gain/loss of velocity due to wind (by calculating kinetic energy). Is there any? I found:
    [itex]E_{C}=\frac{1}{2}·(\rho·A·v·t)·v^{2}[/itex]
     
  2. jcsd
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