PHY 122 Chapter Notes -Propagation Of Uncertainty, Standard Deviation

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1 Mar 2014
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This experiment was performed in order to demonstrate how density is related to mass and diameter and how mathematical models can be made to model real life scenarios. The diameter was measured six times for six spheres of different sizes and the mass was measured once for the spheres (all made of the same material). The density was found using = average where = 6m. D3 and is the error propagation for the density equation. The density was found to be 1. 67 +/- . 02 g cm3. Then, the density of the sphere was approximated by comparing how fast it sunk to other objects with known densities. After plotting diameter cubed versus the mass a best fit line and the slope of the line (of graph one in the appendix) was found which determined the average respectively. The results also suggest the ln plot more fairly represented the actual density.

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