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Homework Help: Use dimensional analysis to show that increase in g due to lead

  1. Apr 27, 2010 #1
    1. The problem statement, all variables and given/known data
    A clock is placed on a floor covered with lead density [tex]\rho[/tex] and thickness d. Use dimensional analysis to show that increase in gravitational field strength at the clock dueo to the layer of lead is proportional to [tex]Gd\rho[/tex]


    2. Relevant equations



    3. The attempt at a solution
    to show that [tex]\Delta g = kGd\rho[/tex]

    units of [tex]\Delta g = m s^{-2} [/tex]

    units of [tex]Gd\rho = m^{3}kg^{-1}s^{-2}kgm^{-3}[/tex]

    I don't get why they're not the same.
     
  2. jcsd
  3. Apr 27, 2010 #2
    You forgot to include the units for d, the thickness.
     
  4. Apr 27, 2010 #3
    argh, thanks. I just realized that. I've been thinking dp as differential of p
     
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