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Dimensional Analysis Help Please

  1. Jan 9, 2013 #1
    In this video lecture at about 23 minutes in, he starts talking about dimensional analysis. Can someone help expand on this a bit? I don't understand the Alpha, Beta and Gamma terms he uses.

  2. jcsd
  3. Jan 9, 2013 #2
    The professor is making the assumption that the time t of fall of an object depends on the height h from which it falls, the mass m of the object and the acceleration g due to gravity.

    He is using dimensional analysis to derive the required formula.

    The powers of h, m and g are still unknown. Hence he is using the symbols [itex]\alpha[/itex],[itex]\beta[/itex] and [itex]\gamma[/itex] for these powers.
  4. Jan 9, 2013 #3
    So they are just algabraic placeholders?
  5. Jan 9, 2013 #4
    The [itex]\alpha[/itex].[itex]\beta[/itex] and [itex]\gamma[/itex] are, as yet, unknown values to be determined later by equating the dimensions on each side of the resulting equation.
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