Friday, September 30, 2016

Lab#6: Propagated uncertainty in measurements

#6: Propagated uncertainty in measurements
Alexander Reyes
Lab Partners: Mike Flores & Mike
Performed on: 9/7/16
Theory/Introduction: In this lab the propagated uncertainty of two density measurements will be calculated for two metals.


Apparatus: The tool used to measure the height, diameter, and mass for the aluminum and iron metal is shown below.



Data: Below is the calculated propagated uncertainty for the aluminum cylinder. Experimental propagated uncertainty calculated was 2.74 +/- 0.2776g/cm^3. Actual density of aluminum is 2.7 g/cm^3, therefore the measurements are within the experimental uncertainty of the accepted values.


Data: Below is the calculated propagated uncertainty for the iron cylinder. Experimental propagated uncertainty calculated was 6.85 +/- 0.6936 g/cm^3. Actual density of iron is 7.87 g/cm^3, therefore the measurements are slightly off from the accepted values for experimental uncertainty.


Conclusion: The height, diameter and mass were experimentally calculated using an apparatus for an aluminum and iron cylinder. By calculating those specific dimensions for the metals the propagated uncertainty in measurements was derived for each using calculus. Sources of potential error could have occurred when measuring the height, diameter, and mass for the metals. The apparatus could have been slightly misused and calculations could have been misread.

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