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Rain Drops falling down in a uniform cloud

  1. Dec 20, 2009 #1
    1. The problem statement, all variables and given/known data
    Consider a uniforms cloud of density ρ1 which consists of many little drops that are approximately still.Consider a special rain drop that is a little more bigger than the others so that it starts to fall down.Water drops stays spherical all the way.But the radius gets higher as it falls down.Also water's density is ρ0.
    (a) Find a relation between [tex]\dot{r}[/tex], velocity of the drop, and the two densities.
    (b) Find rain drop's acceleration.
    2. Relevant equations

    3. The attempt at a solution
    The differential equation is non-linear.
  2. jcsd
  3. Dec 20, 2009 #2
    Any thoughts on how to go about this? Any logical assumptions?
  4. Dec 23, 2009 #3
    We have no air resistance force.But it might be possible to find a solution when the air exerts linear resistance force.
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