Lab 1

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School

University of Kentucky *

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Course

211

Subject

Statistics

Date

Apr 3, 2024

Type

xlsx

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1

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~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Understanding the color code for PHY 2XX PI Name: ~ Raw Data Errors in values? Formula that needs to be entered Open Response area DA Name: ~ Researcher Name: ~ ~ Task 1 ~ Trial 1 (s) Trial 2 (s) … Best Data for a single swing ~ PI 1.44 1.4 1.29 ~ DA 1.2 1.41 1.21 ~ Researcher 1.31 1.45 1.1 ~ ~ 1.42 +/- 0.03 ~ ~ ~ Task 2 ~ ~ ~ ~ ~ Data Run 1 Data Run 2 Data Run 3 Data Run 4 ~ Time (s) Period (s) Time (s) Period (s) Time (s) Period (s) Time (s) Period (s) ~ 0 1.51631 0 1.52729 0 1.52783 0 1.5216 ~ 0.116364 1.51735 0.04845 1.52796 0.00552 1.52791 0.00865 1.52169 ~ 0.764655 1.51656 0.76666 1.52736 0.76163 1.52724 0.75935 1.52068 ~ 0.880384 1.51804 0.81533 1.52804 0.76723 1.52726 0.76802 1.51201 ~ 1.516309 1.51699 1.52729 1.52817 1.52783 1.52705 1.5216 0.76723 ~ 1.633717 1.51772 1.57641 1.52884 1.53343 1.52713 1.53034 1.51059 ~ 2.281219 1.51664 2.29402 1.52705 2.28887 1.5272 2.28003 0.76977 ~ 2.398425 1.5182 2.34337 1.52771 2.29449 1.52725 2.28003 1.52067 ~ 3.0333 1.5165 3.05546 1.52684 3.05488 1.52696 2.28883 1.52081 ~ 3.151437 1.51784 3.10525 1.52746 3.06056 1.527 3.04093 1.52073 ~ 3.79786 1.51692 3.82107 1.52738 3.81607 1.52672 3.0498 1.52077 ~ 3.916623 1.51813 3.87108 1.52806 3.82174 1.52682 3.8007 1.51949 ~ 4.549801 4.5823 4.58184 3.80964 ~ 4.669273 4.63271 4.58756 4.56166 ~ 5.314778 5.34845 5.34279 4.57057 ~ 5.434755 5.39914 5.34856 5.32019 ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ DA- What is the connection between your measurements between task 1 and task 2. What is the period of the pendulum? (Your answer should include both text and a graph of your data.) The data in task 1 was recorded as a control group. Therefore, all members of the group each timed one period of the pendulum. The times recorded averaged 1.42 seconds. I compared these times to Data Run 1 from task 2. The average for this data run for the period was 1.52 seconds. These results indicate that when timed with a stopwatch the best time recorded had a period that was a tenth of a second slower than when recorded with a photogate system. The average time of the pendulum changed less than a tenth of a second between data trials 1, 2, &3 when compared to Data Run 1. All of the average period times from Task 2 were within 0.12 seconds compared to the times from Task 1. Group - Evaluate your data so far: Changes made from trial 1 Changes made from trial 1,2 Changes made from trial 1,2,3 RELEASING THE PENDULUM AT A LARGER ANGLE MOVING PHOTOGATE LOWER ON ROD RELEASING AT A SMALLER ANGLE Researcher - What is the Random Uncertainty of your photogate system? What adjustments did you make to the experimental setup or procedure to reduce this uncertainty? According to the Lab Manual, Random Uncertainty is described as the measure of precison in given data. In this experiment, our Random Uncertanity is 0.0007 seconds. In efforts to decrease the amount of random uncertanity, we made changes to each data run. First, we released the Pendulum at a larger angle. For the third data run, we chose to move the photo gate lower on the rod. Lastly, in data run four, we released the Pendulum at a smaller angle. Our highest random uncerntanity was on data run four with it being 0.0009 seconds. Data run three was the smallest random uncertanity at 0.0004 seconds. Finally, data run two was 0.0006 seconds. PI - Compare your results for two different Task 2 data runs by building a second graph. Is there a “systematic shift” between these two data sets? Can you estimate the size of this shift? Could this be accounted for by the Random uncertainty of your system? There is a systematic shift between data run one and two but there is so way to estimate the shift. Since there is no way to estimate the systematic shift the random uncertainty can be accounted for because data run two is larger because of the large angle it was released at. Group- The data in the “Period of Pendulum” graph in the manual has a weird pattern in it. The 1 st , 5 th , 9 th , and 13 th points are low while the 4 th , 8 th , and 12 th points are high. If you are getting a similar pattern where is it coming from? If no similar pattern appears then you don’t need to worry about this question. Based on the data collected from Task 2, some Data Run's followed this pattern while other's did not. One example of a Data Run that perfectly follows the pattern described is Data Run 1. Points 1, 5, & 9 were all lower than points 4, 8, and 12. Data Run 2 was similar although point 5 was higher than point 8. Data Run's 3 and 4 did not follow the pattern. In both of these trials both points 1 and 9 were larger than points 4 and 12. This pattern is due to the accuracy vs. precision being greater or lesser between different trials. 0 2 4 6 8 10 12 14 1.51 1.512 1.514 1.516 1.518 1.52 1.522 1.524 1.526 1.528 1.53 Period of Pendulum - Data Run 1 & 2 Swing Number Period (s)
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