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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/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


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    Homework Helper

    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.

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