Propagated Uncertainty in Measurements Lab
Isaiah Hernandez, Tony Wu, Leslie Zho
Purpose: Measure the Density of Metal Cylinders
Theory: The density of aluminum tin cylinders can be obtianed manually by measuring both the mass and volume of the samples and dividing the mass by the volume.
A summary of apparatus:
Our team was asked to select two samples and record the diameter of each cylinder in order to calculate its volume and measure each mass separately. After the experimental density value for each cylinder was found, we had to calculate the propagated uncertainty of this value.
Our team was asked to select two samples and record the diameter of each cylinder in order to calculate its volume and measure each mass separately. After the experimental density value for each cylinder was found, we had to calculate the propagated uncertainty of this value.
Table of calculated results:
Calculations for propagated uncertainty of density :
Conclusions:
Our team was able to find the density of Alminum and Tin using the formula Density = Mass/Volume. After deriving a general equation for density by specifically using the volume of a cylinder we were able to calculate the propagated uncertainty for each density.
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