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Density and its uncertainty

  1. Mar 22, 2010 #1
    1. The problem statement, all variables and given/known data
    Calculate the density and its ucertainty...

    Mass = 0.0163 kg
    Uncertainty Mass = 0.0001 kg
    Diameter = 0.015m
    Uncertainty Diameter = 0.001m


    2. Relevant equations
    p=6M/piD^3
    ^p/p=^m/m + 3^D/D

    3. The attempt at a solution
    p= 6 x (0.0163)/ pi(0.015^3)
    = 9223.9 kg/m^3

    ^p/9223.9= 0.0001/0.0163 + 0.003/0.015
    ^p= 1901 kg/m^3

    The value for ^p just seems too large???
     
  2. jcsd
  3. Mar 22, 2010 #2

    ehild

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    Homework Helper
    Gold Member

    Your result is correct. The relative uncertainty of the density is about 0.2, which is not too big compared to the 0.067 relative uncertainty of the diameter.

    ehild
     
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