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PHYS 201L10/08/2020Simple pendulum labData: Metal ball (Mass=67.5g)Length(m)T1 T2 T3 T4 T5T average(s)T average2Acceleration,<g>% Difference0.67 1.661.65 1.66 1.65 1.65 1.65 2.73 9.67 1.470.60 1.571.57 1.57 1.57 1.57 1.57 2.47 9.58 2.380.53 1.491.49 1.49 1.49 1.47 1.49 2.21 9.48 3.400.47 1.401.40 1.40 1.40 1.40 1.40 1.96 9.45 3.620.40 1.311.30 1.30 1.30 1.30 1.30 1.69 9.33 4.910.35 1.21.21 1.19 1.2 1.21 1.20 1.44 9.58 2.35 Wood ball (Mass=5.4g)Length(m)T1 T2 T3 T4 T5 T average T average2Acceleration,<g>% Difference0.7 1.691.68 1.68 1.69 1.68 1.68 2.84 9.73 0.820.64 1.611.61 1.61 1.61 1.61 1.61 2.59 9.73 0.770.56 1.521.51 1.52 1.52 1.52 1.52 2.30 9.61 1.990.5 1.431.43 1.43 1.43 1.43 1.43 2.04 9.65 1.650.44 1.331.33 1.34 1.33 1.33 1.33 1.77 9.79 0.180.37 1.231.22 1.22 1.22 1.23 1.23 1.50 9.72 0.93Graphs:Acceleration due to gravity: Metal Acceleration due to gravity: WoodFree body diagram: Questions: 1.) The relationship between the length of the pendulum and the period is that they are directly proportional together meaning as the length of the string increases, the period will increase as well, proportional to the change in length. The results show that the data follows the trend because the percent difference for all the trials for both the metal and wooden ball, it did not exceed 5%. 2.) If you use the equation G=4 π2×lT2, you will get the answer G=9.67ms2 which, is a little less than the expected value but, its still a good way to determine what G equals for experiments like this where you can’t calculate extremely precise data points. A huge reason for error would be user error while operating the lab devices or, accidentally letting go of the pendulum too late or too early. 3.) The mass of the Bob has no effect on the period of pendulum.4.) Instead of timing each individual oscillation, you could time how long it takes for the pendulum to complete two or four oscillations and then, divide that number to find the period for the individual


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