Wednesday, September 14, 2016

9/7/16: Propagated Uncertainty in Measurements

Title: Propagated Uncertainty in measurements
Purpose:
The purpose of this lab is to make sure how to calculate the propagated error for each measurement of a density.
Apparatus:
                                    

A Vernier Caliper was used to measure accurate lengths of the cylinders, and a balance was used to measure the mass of the cylinders.
Theory:

                                    

The propagated error in the density is found through partial derivatives.
Data:

                                                         

                                   

Calculations:

                                               

                                   

                                    

Analysis:
The density and the propagated error were found through the equations as shown in the Theory section. The process for finding the density and errors for Aluminum were the same as Iron, and therefore only the results are shown.

Conclusion:
The results obtained were reasonable and reliable. The measurements obtained make sense and as a result, the calculations also is reasonable.




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