# CH3 - Objective The main objectives of this lab was to...

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1 Objective: The main objectives of this lab was to familiarize ourselves with the concepts of error propagation and graph linearization with logger pro. Experimental data: Part 2. Density Slope (d 3 vs m graph) 941.7±5.126mm 3 /g SPHERE #3 Mass 86.8, grams Diameter 43.53, mm .1783, mm Data analysis: (10 points) 1) State the power of the diameter from mass vs diameter graph. The power would be, to the second. 2) Calculate the density of ONE of six spheres, formula (1) from the manual. You can choose a sphere whatever you want. Show substitutions and units. 𝑉 = ? 6 ∗ 86.8 3 ?? 3 𝑃 = 16.4𝑔 43188?? 3 𝑃 = .002009 g/mm 3 3) Propagate the error in the density. Apply equation (2) in the lab manual. Provide a formula, substitutions and units. Since the density is a function of both the mass and the diameter, you need to take into account a partial derivative with respect to the mass as well. The error in the mass is the precision of the balance. The error in the diameter can be found using formula (3) from the lab manual. 𝛥? = ( 1 𝑣 ∗ 𝛥?) 2 + (− ?

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