PHYExperiment 3

# Data angles of inclination 10 5 other values present

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Data Angles of Inclination: 10°, 5°. Other values present on data sheet.

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Data Analysis Angle of inclination: 10° Experimental acceleration from the graph: 1.75m/s 2 Theoretical Acceleration: gsinθ 9.792*sin(10) =1.70036295571458 =1.70m/s 2 Difference between values: (1.75-1.70) =0.05m/s 2 Standard deviation from the graph: 0.03 Percentage Error: (0.05/1.70)*100 =2.9%
Angle of Inclination: 5° Experimental acceleration from the graph: 0.81m/s 2 Theoretical Acceleration: gsinθ 9.792*sin(5) =0.85342903298507m/s 2 =0.85m/s 2 Difference between values: (0.85-0.81) =0.04m/s 2 Standard deviation from the graph: 0.02 Percentage Error: (0.04/0.85)*100 =2.9% Discussion Table of Results For 10°, Experimental acceleration: 1.7 ± 0.03 m/s 2

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Theoretical acceleration: 1.7m/s 2 Discrepancy: 0.05 m/s 2 Percentage Difference: 2.9% For 5°, Experimental acceleration: 0.81 ±0.02 m/s 2 Theoretical acceleration: 0.85 m/s 2 Discrepancy: 0.04 m/s 2 Percentage Difference: 2.9% Difference for 10° Up the ramp: 1.76-1.70 =0.06m/s 2 Down the ramp: 1.73-1.70 =0.03m/s 2 Entire period: 1.75-1.70 =0.05 m/s 2 Difference for 5° Up the ramp: 0.85-0.83 =0.02m/s 2 Down the ramp: 0.85-0.79 =0.06m/s 2
Entire period: 0.85-0.81 =0.04 m/s 2 In the experiment, for both trials, it is noticed that the magnitude of the acceleration up the ramp is higher than the magnitude of acceleration down the ramp and even higher than the magnitude of acceleration for the entire period of time. The differences are smaller than the standard deviation given in the statistics command, hence the experiment’s results agree within the limits of experimental error.

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