Objective:
The objective of this laboratory was to theoretically calculate the moment of inertia of a disk and a ring and then to verify the moment of inertia for both objects through experiment. This laboratory shows that while the theoretical is not within the uncertainty of the experimental, both values are extremely similar to each other.
Data and Analysis:
Data:
Table 1: The Angular Acceleration of No Ring and Ring
Trial No Ring Ring
5g 4.57 ± 0.005 rad/s2 1.32 ± 0.005 rad/s2
10g 13.16 ± 0.005 rad/s2 3.09 ± 0.005 rad/s2
15g 20.45 ± 0.005 rad/s2 4.83 ± 0.005 rad/s2
20g 27.89 ± 0.005 rad/s2 6.60 ± 0.005 rad/s2
25g 35.65 ± 0.005 rad/s2 8.35 ± 0.005 rad/s2
Table 2: The Average Experimental and Theoretical Moment of Inertia for No Ring and Ring
Type Experimental Moment of Inertia Theoretical Moment of Inertia
No Ring 0.000198 ± 0.000047 kg•m2 0.000133 kg•m2
Ring 0.000631 ± 0.000101 kg•m2 0.000503 kg•m2
Analysis:
After completing the experiment, the data was transferred from DataStudio to Excel file, Lab9. Next, the points in the data when it started to increase were removed from the data points because that was when the 3-step pulley spun the opposite way of its original direction. This caused the mass hangar to be pulled back up and our experiment focuses on the just the drop. After deleting the excessive data, a scatter plot was created for all five trials for both the No Ring and the Ring. Then a trendline 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 on the graph of each trial.
After finding the angular acceleration, the experimental moment of inertia was calculated for all the tria...
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...ertia of the No Ring. The reason for this can be that the height of the 3-step pulley was changed during the experiment. Also, the angle of the clamp-on super pulley was changed in order to prevent the string from falling off the clamp-on super pulley during every trial. These are some of the things that were observed that have affected our results. There might multiple other changes that were done subconsciously by the experimenters without noticing.
In the future, the experiment can be improved by making sure that changes above, if required, are done before the first trial of the first run starts. Another problem was that the 3-step pulley moved slightly every time a trial was conducted. This could be prevented for the future labs by have a 3-step pulley that more resistible to movement. With these improvements, future laboratory might get more accurate results.
Results: The experiments required the starting, ending, and total times of each run number. To keep the units for time similar, seconds were used. An example of how to convert minutes to seconds is: 2 "minutes" x "60 seconds" /"1 minute" ="120" "seconds" (+ number of seconds past the minute mark)
There were no significant error factors that may have affected the arrangement of the lab experiment. Everything went smoothly with relative ease.
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Other human errors could have affected the results, such as not inverting the plate before putting it into incubation would not allow for bacterial growth. Not pipetting the tube up and down to mix the bacteria that settled at the bottom of the tube before starting the Gram Stain would not allow for an accurate reading because there wouldn’t be many bacteria on the slide. Passing the slide over the bunsen burner too many times, hence killing the bacteria and not allowing for a Gram Stain. If this experiment had to be redone, one improvement would be to allow for more than one plate without a point deduction. Unexpected human errors might interfere with a person’s results.
Vrock= Vcenter of mass + Wrock Where V is the translational velocity, and W is the angular velocity
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...mpanies. The Structural Test Article simulated pressure on the vertical components during launch. After testing, Marshall concluded that the gap size was sufficient for both of the O-rings to be out of position. Again Thiokol rebutted Marshall’s claim by challenging the validity of the electrical components used to measure joint rotation. Thiokol believed that their test was superior to Marshall’s test, because it validated their conclusion. This is a fundamental problem know as experimenter’s regress. Since the true solution is unknown, the best test is the one that supports the experimenter’s view. Since this disagreement could not be solved between the two, the O-ring manufacturer was consulted. The manufacturer told the two that the O-ring was not designed for such high project specifications needed for the craft, but NASA decided to work with what they had.
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