Topic > The Moment of Inertia of a Disc and a Ring - 785

Objective:The objective of this laboratory was to theoretically calculate the moment of inertia of a disc and a ring and then verify the moment of inertia of both objects through experimenting. This lab demonstrates that although the theoretical is outside the uncertainty of the experiment, both values ​​are extremely similar to each other. Data and analysis: Data: Table 1: The angular acceleration of No Ring and RingProva No Ring Ring5g 4.57 ± 0.005 rad/s2 1.32 ± 0.005 rad/s210g 13.16 ± 0.005 rad/s2 3.09 ± 0.005 rad/s215g 20.45 ± 0.005 rad/s2 4.83 ± 0.005 rad/s220g 27.89 ± 0.005 rad/s2 ± 0.005 rad/s225g 35.65 ± 0.005 rad/s2 8.35 ± 0.005 rad/s2Table 2: Experimental and theoretical average moment of inertia for without ring and ring type Experimental moment of inertia Theoretical moment of inertia without ring 0.000198 ± 0.000047 kg•m2 0.000133 kg•m2Ring 0.000631 ± 0.000101 kg•m2 0. 000503 kg•m2Analysis: After completing the experiment, the data was transferred from DataStudio to the Excel file, Lab9. Subsequently, the points in the data where it started to increase were removed from the data points because at that time the 3-phase pulley was spinning in the opposite direction from its original direction. This caused the mass hangar to rise, and our experiment focuses only on the fall. After eliminating excess data, a scatterplot was created for all five trials for both No Ring and Ring. Then a trend line was added for the trials and the option to show the linear equation was selected. From the graph, the angular acceleration was determined by taking the slope from the equation shown in the graph of each test. After finding the angular acceleration, the experimental moment of inertia was calculated for all tria...... middle of paper ......ertia of the No Ring. The reason for this may be that the height of the 3-step pulley was changed during the experiment. Additionally, the angle of the clamp-on super pulley was changed to prevent the rope from falling off the clamp-on super pulley during each trial. These are some of the things we observed that influenced our results. There may be many other changes made unconsciously by experimenters without realizing it. In the future, the experiment can be improved by ensuring that the above changes, if necessary, are made before the first trial of the first run begins. Another problem was that the 3-step pulley moved slightly every time a test was conducted. This could be avoided for future labs by having a more motion-resistant 3-stage pulley. With these improvements, the future laboratory could obtain more accurate results.