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Density and its uncertainty

  • Thread starter gdogga
  • Start date
  • #1
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Homework Statement


Calculate the density and its ucertainty...

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


Homework Equations


p=6M/piD^3
^p/p=^m/m + 3^D/D

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???
 

Answers and Replies

  • #2
ehild
Homework Helper
15,477
1,854
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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