Name: Qiwen Ye (Sherry)
Lab partners names: Eugene, Chandler
Date: 7-Sep-2016
2. Purpose
In this lab, we studied the propagated uncertainty by measuring the Density of Metal Cylinders. To find density of different cylinders along with the propagated error.
3. Theory/Introduction
The reason we worried about propagated uncertainty was we didn't know what the accepted value was. The equation to find the total density and differential of uncertainty is
We started by choosing two cylinder made of different meals which are Al and Tin. Measured the masses by using a scale, then measured the heights and radius using a measuring instrument called a fractional caliper. The fractional caliper allows us to take precise measurements that we calculated an accurate volume. The pictures show the cylinders and the measure machine.
5.Data
Here is the values that we got from the scale by measure the Tin and Al of height, diameter and mass.
6. Results/Graphs
We took the data from the table above and solved for the density of Tin and Al. After we solved the density, we got the propagated error of our calculated density.
The calculation of the density of Tin:
The calculation of the density of Al:
7. Analysis
Through the calculation, we calculated the propagated error in each of density measurement. We found that the experimental uncertainty of the density of the Tn is 11.32+/-0.62 g/cm^3; the experimental uncertainty of the density of the Tin is 2.79+/-0.23 g/cm^3. Compared to the theoretical value of the density, Al is 2.7 g/cm^3, and Tin is 7.31 g/cm^3.
8. Conclusion
In this lab, we studies how to measure the density of the metal cylinders in order to do the propagated error calculation. We used the equation of calculating the propagated uncertainty that we learned in the class, and tried to determine the density of the metal cylinders. Through this lab, it made me more clearly to understand the concept of the propagated uncertainty.
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