Lab 14 Report Template

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 14.3 Trial Mass Carriage (kg) Circular radius (m) Number of Revolutions t (s) 1 0.050 0.0662 50 24.88 2 0.150 24.78 3 0.250 24.68 4 0.300 24.84 5 0.050 24.72 6 0.150 24.79 7 0.250 24.68 8 0.300 24.76 9 0.050 24.74 10 0.150 24.75 11 0.250 24.71 12 0.300 24.76 Data Table 14.4 Trial v (m/s) a c (m/s 2 ) F c (N) Total Mass Carriage Weight (N) % Difference 1 0.835906 10.55497 0.527748 0.49 29.19486 2 0.839279 10.64033 1.59605 1.47 10.74503 3 0.84268 10.72673 2.681683 2.45 7.052621 4 0.837252 10.58899 3.176697 2.94 5.068737 5 0.841316 10.69205 0.534602 0.49 34.05338 6 0.838941 10.63175 1.594762 1.47 10.64388 7 0.84268 10.72673 2.681683 2.45 7.052621 8 0.839957 10.65753 3.197258 2.94 5.473614 9 0.840636 10.67477 0.533738 0.49 33.44777 10 0.840297 10.66614 1.599921 1.47 11.04826 11 0.841657 10.7007 2.675175 2.45 6.871198 12 0.839957 10.65753 3.197258 2.94 5.473614

Lab 14: Centripetal Force Laboratory Report Data Table 14.5 Trial Mass Carriage (kg) Circular radius (m) Number of Revolutions t (s) 1 0.150 0.05 50 24.72 2 0.07 24.69 3 0.09 24.64 4 0.11 24.68 5 0.250 0.05 24.62 6 0.07 24.70 7 0.09 24.73 8 0.11 25.00 9 0.300 0.05 24.69 10 0.07 24.84 11 0.09 24.71 12 0.11 24.84 Data Table 14.6 Trial v (m/s) a c (m/s 2 ) F c (N) Total Mass Carriage Weight (N) % Difference 1 0.635435 8.075563 0.403778 1.47 -29.0527 2 0.890691 11.33328 1.699992 1.47 18.40681 3 1.147497 14.63056 3.657639 1.47 44.92096 4 1.400224 17.82387 5.347162 1.47 61.24839 5 0.638016 8.141298 0.407065 2.45 -16.6318 6 0.89033 11.3241 1.698616 2.45 10.98689 7 1.143321 14.52426 3.631065 2.45 26.5524 8 1.382301 17.3705 5.211151 2.45 35.57757 9 0.636208 8.0952 0.40476 2.94 -14.3261 10 0.885312 11.19682 3.359045 2.94 8.486483 11 1.144247 14.54778 4.364334 2.94 22.20121 12 1.391204 17.595 5.2785 2.94 30.13766

Lab 14: Centripetal Force Laboratory Report apparatus wrong causing it to be less accurate than it could have been. This is evidenced by random 30% errors in otherwise les than 10% errors. There was also the likelihood that the motor was dying as sated by my partner who noticed sometimes that it would slow, this could be another potential explanation. Finally, while timing my partner, I found it initially difficult to count the revolutions and stop the timer at the same time. This could have contributed to some of the error int the first experiment. Conclusions Write a fully developed paragraph based on your expectations , state whether the lab was a success or failure; support this with reasons or examples. I believe this lab was a success because we learned about centripetal acceleration and its components, and we applied it to our experiments. We got the data quickly and efficiently. We did have some hiccups with learning how to properly rotate the stopper and stop the timer while counting the revolutions. However, despite that our percent difference is low with only minor spikes in a few places. We also learned the differences between centripetal and centrifugal force.