phys 223 lab 6 report

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Physics

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Apr 3, 2024

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docx

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February 27, 2024 PHYS 223-02 Experiment 6 Jasmine Warren, Mia Hardy, Ella Dozer Introductions and Objectives The objective of this experiment was to find the acceleration of a mass that is connected to another mass across a pulley. First, we had to set the pulley about 160 cm above the floor. Then we connected 50 g hangers on each end of a string that was then placed on the pulley with each hanger on each side of the pulley. We then added different sets of masses to each hanger according to the data table. We measured the distance from our starting to stopping point. Then we had one person release the heavier mass from the starting point, another person caught it before it hit the floor, and another person timed how long it took to reach the predetermined stopping point. We record the drop time for each set of masses 3 times and noted them in our data table. Lastly, we had to plot the calculated acceleration by (m 2 - m 1 ) and acceleration by [1 / (m 2 +m 1 )]. Data Sheets and Graphs m 1 (g) m 2 (g) m 2 -m 1 (g) t 1 (s) t 2 (s) t 3 (s) t ave (s) a = 2 d t 2 ( m / s 2 ) 125 145 20 1.88 1.71 1.60 1.73 0.72 120 150 30 1.35 1.37 1.56 1.43 1.05 115 155 40 1.41 1.16 1.16 1.24 1.38 110 160 50 1.09 1.13 1.06 1.09 1.79 105 165 60 0.94 1.00 1.03 0.99 2.18
100 170 70 0.81 0.96 0.84 0.87 2.83 Table 1: Data from when m 1 + m 2 = 270 g . m 1 (g) m 2 (g) 1 m 2 + m 1 ¿ t 1 (s) t 2 (s) t 3 (s) t ave (s) a = 2 d t 2 ( m / s 2 ) 120 150 0.0037 1.41 1.44 1.34 1.40 1.10 170 200 0.0027 1.56 1.69 1.63 1.63 0.81 220 250 0.0021 1.79 1.97 1.78 1.85 0.63 Table 2: Data from when m 2 m 1 = 30 g . Graph 1: Plot of m 2 m 1 vs acceleration.
Graph 2: Plot of 1 m 2 + m 1 vs acceleration. Analysis To calculate the acceleration of each set of masses we had to use the equation a = 2 d t 2 ¿ where our measured distance was always d = 107 cm = 1.07 m (Table 1 & 2). After we got all our data, we plotted acceleration from Table 1 vs m 2 m 1 (Graph 1). I applied a linear fit to get an equation that has a slope of 0.041 m s 2 g . The expected result can be found using g m 1 + m 2 = 9.81 270 = 0.036 m s 2 g . To calculate the percent error, you use | 0.041 0.036 | 0.036 100 = 0.005 0.036 100 = 0.1389 100 = 13.89% . We also plotted acceleration
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