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Deriving Force Equation from Scaling Law

  1. Feb 21, 2013 #1
    I am reading this chapter about dimensionless ratios and scaling law. and it says like this:

    [itex]\alpha[/itex]F = [itex]\frac{Fp}{Fm}[/itex] = [itex]\frac{ρp . Vp^2 . Lp^2}{ρm . Vm^2 . Lm^2}[/itex] (1)

    From this, it is obvious one can write for these forces:

    Fp = C[itex]\frac{1}{2}[/itex] [itex]ρp Vp^2 . Lp^2[/itex] (2) and
    Fp = C[itex]\frac{1}{2}[/itex] [itex]ρm Vm^2 . Lm^2[/itex] (3)

    The thing I don't understand is, how can from equation (1) to equation (2) and (3)..
  2. jcsd
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