What is the density and uncertainty of a given object?

[gdogga]

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?

 

[ehild]

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