Measurements_Report_C

Physics I Laboratory Faculty of Science, Ontario Tech University Report PhyI-01: Measurement and Evaluation of Physical Parameters Student’s name Devarsh Joshi CRN 45753 Date 20/09/2023 TA Signature_____________________ Experiment #1: Linear Dimensions and Volume Hypothesis What method do you think will be more precise for measuring the object’s volume (a) using calipers to measure linear dimensions and then calculate the volume or (b) just measuring the volume of water displaced by the object? Why do you think so? Measurements Shape of the regular-shaped object: Cuboid Table 1.1. Measurements, linear in cm and volume in ml ( cm 3 ) Object Height of cylinder or block, h, cm Diameter of cylinder, d , or width of block, w, cm regular-shaped object 4.89 4.88 4.90 4.89 4.89 1.585 1.580 1.590 1.590 1.590 irregular-shaped object N/A* N/A *Not Applicable Object Length of block only, l , cm Displaced volume, V D , ml (cm 3 ) regular-shaped object 3.18 3.19 3.18 3.17 3.18 25 26 25 25 26 irregular-shaped object N/A 27 26 27 26 27 Report PhyI-01: Measurement and Evaluation of Physical Parameters Method (b) is more precise to calculate the volume. I think so, because the absolute uncertainity for water-displaced method is 0.5 while for the caliper method is 0.9041.

Physics I Laboratory Faculty of Science, Ontario Tech University Experiment #2: Mass and Densit y Measurements Table 2.1. Measurements Object Mass m , g regular-shaped object 65.70 irregular-shaped object 67.20 Report PhyI-01: Measurement and Evaluation of Physical Parameters 2

Physics I Laboratory Faculty of Science, Ontario Tech University Experiment #2: Analysis Table 2.1. Measurements Object Mass m , g Instrumental uncertainty, σ m ,inst , g Absolute uncertainty, σ m , g regular-shaped object 65.70 0.05 0.0509 irregular-shaped object 67.20 0.05 0.0475 Table 2.2. Analysis Object Volume, V, cm 3 Absolute uncert., σ V , cm 3 Mass, m , g Absolute uncert., σ m , g Density, ρ exp , g/cm 3 Absolute uncert., σ ρ , g/cm 3 regular-shaped object, indirect volume equation method 24.67 0.9041 65.70 0.05 2.6631 0.0975 regular-shaped object, direct displaced volume method 25.40 0.5 65.70 0.05 2.5866 0.0509 irregular-shaped object, direct displaced volume method 26.60 0.5 67.20 0.05 2.5263 0.0475 Density of the regular-shaped object ρ exp = 2.5866 Material: Aluminum , ρ ref = 2.60 Density of the irregular-shaped object ρ exp = 2.5263 Material: Aluminum , ρ ref = 2.60 Conclusion and Error Analysis In conclusion, during this physics lab we successfully measured object dimensions, volume, mass and density while conducting error analysis for direct and indirect methods. Direct measurements offered higher accuracy and indirect measurements introduced greater uncertainty due to multiple measurements. Consistent methods are very important, as was made clear by identifying systematic and random errors. For scientific research to go as smoothly as possible, knowledge upon this is essential. Report PhyI-01: Measurement and Evaluation of Physical Parameters 4