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Dimensional analysis of simple pendulm

  1. Sep 23, 2012 #1
    1. The problem statement, all variables and given/known data

    Use dimensional analysis to determine the dependence of the period T of
    a simple pendulum on its mass m , weight w , length l and arc-length of
    swing s.

    2. Relevant equations
    g= [L/T2]

    3. The attempt at a solution

    T =cst * malbgcsd

    [T]=malbgcsd
    =[M]a[L]b[g]c[L]d
    okay im making a mistake here aren't I? by including the arc-Length? i do not know why i should not include it? some one explain? im a bit confused... after this I'll be able to go on.

    then i will equate the exponents and solve it.

    EDIT: Thanks in advance
     
  2. jcsd
  3. Sep 24, 2012 #2
    a=0
    b+c+d=0
    -2c=1 => c=-1/2

    b+d=1/2 ==> b=d=1/4

    T=l1/4g-1/2s1/4

    but T= 2π (l/g)1/2

    what i did is is correct?
     
  4. Sep 24, 2012 #3
    could someone help me out here?
     
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