Data Analysis and SI Unit Conversion · RMPH 2014 #3

Physics · mechanics

Problem

Context: Using the experimental data collected in the previous measurements and the theoretical expressions derived, determine the physical properties of the can in SI units. Given: g=9.8 m/s2g = 9.8 \, \text{m/s}^2 and water density ρ=1.0×103 kg/m3\rho = 1.0 \times 10^3 \, \text{kg/m}^3. 3.a. Create an appropriate linear plot of experimental data that allows you to determine the geometric dimensions of the can, its mass, and density of its material. Express all characteristics in SI units. 3.b. Use the graphical representation from task 3.a to determine the geometric dimensions of the can in meters. 3.c. Using the graphical representation from task 3.a, determine the mass of the can in kilograms. 3.d. Calculate the density of the metallic material of the can and the elementary volume of water, expressing results in SI units. 3.e. Determine the errors when measuring length in arbitrary units and time using the chronometer. Decide whether the errors increase when the amount of water increases and justify your answer.

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