Lab report HP - PHY 122 Volumes and density Name Group...

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PHY 122: Volumes and density Name: Group members name: Group Number: Class Number: Day and Time: (1 point)
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Objective: (3 points) The main objective of this lab is to understand how error in each measurement, that is volumes and mass, propagates through into the final values of the quantities. On top of this, practicing the concepts of error analysis and graph linearization is also an objective of this lab. Experimental data (3 points): Part 2. Density Slope (d 3 vs m graph) 1.099 ± 7.397 Slope (ln (d) vs ln (m) graph) 0.3394 ± 0.02285 y-intercept (ln(d) vs ln(m) graph) 0.01585± 0.02285 SPHERE #_6___ Mass 224.06, g Diameter 3.808, cm ± 1.8635 Data analysis: (10 points) 1) State the power of the diameter from mass vs diameter graph Both diameter and mass are important in the calculation of the density of a substance or object. Diameter is used to calculate the volume which is then used to calculate the density. The volume of an object determines the density. Since the volume is determined by the diameter in this case, then if the diameter is too large, the density
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will be low and on the other side, if the diameter is small, then the density will be large. This is the power of the diameter. 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. Sphere number 6 Formula 1 density= mass/volume Mass=224.06g Diameter=3.808cm Volume of sphere= (4/3) pi (D/2) 3 = (4/3)*pi*(3.808/2) 3 =28.91cm 3 Density= mass/ volume = (224.06/28.91)g/cm 3 =7.7501g/cm 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
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