Richard Keitz Lab4

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Excelsior University *

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202L

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Mechanical Engineering

Date

Dec 6, 2023

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docx

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Uploaded by DrThunder7652

Course: PHYS202 Section: _______________________________ Name: Richard Keitz Instructor Name: Abul Faiz Ishaq __________________________________________________________________________ Title : Experiment: Uniform Circular Motion __________________________________________________________________________ Abstract : __________________________________________________________________________ Introduction: __________________________________________________________________________ Methods: __________________________________________________________________________ Results: The Purpose of this experiment was to determine the Coefficient of static friction( ? ) of a simulated Ladybug and Fly on a spinning disc and determine whether ? remained constant as the respective bugs radius ( ? ) increased. I proposed the hypothesis that as the radius ( ? ) increased that the angular speed ( ? ) would need to decrease to keep the bug on the disc as well as that ? would remain constant as the radius increased. To ensure my data remained as accurate as possible I repeated the experiment multiple times at each radius additionally measuring as accurately as possible with the simulation ruler as well. Uncertainty was however introduced since the simulator is pretty small and measurements rely on the naked eye observing a small, simulated ruler. Because of this it was difficult to get the radius precisely correct. Additionally, the angular speed accuracy was +/- 0.1m/s ❑ ❑ 2 Given the ladybug data below: Ladybug Radius Angular Speed (radians/s) Static Coefficient of Friction 1.00 62.60 399.87 2.00 44.20 398.70 2.50 39.70 399.87 3.00 36.00 402.06 3.50 33.40 396.73 Mean μ s = 399.45

The data illustrates no significant deviation in the Static Coefficient of Friction over the radius changes and the scatter of data that I had found surrounding the mean was within expected margins of error at . 69% variation at the maximum Fly Radius Angular Speed (radians/s) Static Coefficient of Friction Mean μs = 1.00 62.10 393.51 397.36 2.00 44.20 398.70 397.36 2.50 39.50 398.02 397.36 3.00 36.00 396.73 397.36 3.50 33.40 399.87 397.36 Mean μ s = 397.36

The data from the fly illustrates things in much the same way as the Ladybug data both overall showing a relatively consistent Static Coefficient of Friction. Discussion : This experiment was curated to illustrate that the Static Coefficient of Friction will remain the same across a spectrum of radii across a disc. Additionally the Weight of the bug did not have an effect on the coefficient either. The results clearly indicated that as the radius increased the angular speed required to unseat the bug from the disc decreased. This result is significant since if the coefficient of static friction did not act in this way, then the object could not achieve uniform circular motion. When discussing this it does bring up questions about achieving elliptical orbits and how those are maintained? __________________________________________________________________________ Conclusion: The experiment demonstrated through the simulation and the data gathered that though we may not be as precise an instrument as we can be that the static coefficient of friction of an object is a relatively static term and is independent of the weight of an object, as well as that it is independent of the radius from the center of a spinning plane. The data gathered reinforced the lesson that the Static coefficient of friction is what keeps the object in question in place in uniform circular motion until the force of acceleration acts against it to the point that it is overcome. __________________________________________________________________________ References: Excelsior College. (2021).Module 4: Module Notes: Uniform Circular Motion. https://excelsior.instructure.com/courses/24810/pages/module-4-module-notes-uniform- circular-motion?module_item_id=2291870

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