Lab 14 Report Template

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Harding University *

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Physics

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Dec 6, 2023

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Lab 14: Centripetal Force Laboratory Report Name: Jacob Barnhil Lab Partner(s): Judah Purpose of Experiment Write a fully developed paragraph that describes the purpose of the experiment. Include each of the following topics: 1) the main concept(s) being investigated, 2) the variables (quantities) being measured, 3) the instruments and techniques used, and 4) the type of analysis used to draw conclusions from the data. The main concepts being investigated are centripetal force and the components by which we compute it. Also, the differences between centripetal and centrifugal force. The variables being measured are the circular radius and time it takes to rotate fifty times and in the second experiment it records the time it takes to capture 200 events. The third experiment measures the time it takes to capture 200 events at different length of radii. We used a rubber stopper connected to a string with a glass tube on the string and a clip to keep track of the force. we spun this around for 50 times while keeping the clip in the same spot then recorded the time and the radius. In the second experiment we used a centripetal force apparatus, a mass carriage, and a photogate sensor to measure the number of events. While doing the experiments if we felt the trial had not resulted in accurate data, we did it again. We also examined the data to see if the data was following an expected trend. After the lab we used percent difference to find the difference between the weight and the force. Data & Analysis Data Table 14.1 Trial Hanging m (kg) Stopper m (kg) Circular radius (m) Number of Revolutions t (s) 1 0.100 0.03964 .4877 50 36.66 2 .6075 40.77 3 .6549 42.83 4 .5145 36.07 5 0.200 .4975 31.23 6 .7551 31.74 7 .7245 32.22 8 .5231 32.31 9 0.300 .6943 27.28 10 .6582 28.85

Lab 14: Centripetal Force Laboratory Report 11 .6855 26.14 12 .4236 24.00 Data Analysis Question: Why is it important that the circular radius remain as constant as possible during the experiment? What would change? Support your answer with your data. It is important because if the radius remains constant than that means that the force is equal to the weight of the object. If the radius changes than that means that the force on the stopper has gone down or up resulting in it being unequal to the weight. Using percent difference, the highest error we got was 74% and the lowest was 0.0207%

Lab 14: Centripetal Force Laboratory Report Data Table 14.2 Trial v (m/s) a c (m/s 2 ) F c (N) Hanging Weight (N) % Difference 1 4.179364 35.81522 1.419715 0.98 63.20829 2 4.681181 36.07153 1.429876 0.98 64.20936 3 4.80371 35.23535 1.396729 0.98 60.88993 4 4.481146 39.02949 1.547129 0.98 74.80993 5 5.004618 50.34413 1.995641 1.96 1.82239 6 7.473902 73.97592 2.932405 1.96 33.83741 7 7.064196 68.87904 2.730365 1.96 28.79054 8 5.086249 49.45504 1.960398 1.96 0.020716 9 7.99563 92.07849 3.649991 2.94 13.23256 10 7.167405 78.04876 3.093853 2.94 3.382898 11 8.238568 99.01387 3.92491 2.94 17.07063 12 5.544911 72.58272 1.419715 2.94 -72.8461 Data Analysis Question: Was your calculated centripetal force close to the force of the hanging weight? If so or if not, give a reasonable explanation as to why. Support your answer with your data. It was fairly close; the difference is to be expected considering that this was done by hand and it is extremely hard to keep a constant rate of rotation for extended periods of time. The highest percent difference was 74% which is sizable, however the lowest was .0207%. this means that time we did it perfectly and this makes sense because it was later in the trials after we got the hang of it.

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