The table below shows the data from a Simple Pendulum experiment, where the peri

Question

The table below shows the data from a Simple Pendulum experiment, where the period T and the length l of the pendulum wore measured. The relationship between and 1 is Plot a T vs I graph on 3-cyelc Log-Log paper. Kind the slope of the best fit. What should the slope of the plot theoretically be? Explain why. Solve the above equation for g. Calculate g in the table for each row. Also, put the proper unit into the table bonder. find the average, the standard deviation, standard deviation of the mean, and the 2a uncertainty (use the tabular method and show your work). You may use the two additional columns in the table. Report the final answer in standard form. Assuming that length can be measured with a relative uncertainty of 61/1 0.02 and time with a relative uncertainty of calculate the relative error of g. 6gfg. Use error propagation rules.

Explanation / Answer

Value of g

=>      g1 = 4 * 3.142 * 0.2/0.922

                      =   9.32 m/sec2

=>     g2 = 4 * 3.142 * 0.4/1.272

                      =   9.78 m/sec2

=>   g3 = 4 * 3.142 * 1/2.012

                      =   9.76 m/sec2

=>    g4 = 4 * 3.142 * 1.8/2.682

                      =   9.88 m/sec2

=> g5 = 4 * 3.142 * 4/3.952

                      =   10.11 m/sec2

=> g6 = 4 * 3.142 * 8/5.732

                      =   9.61 m/sec2

=> g7 = 4 * 3.142 * 24/9.842

                      =   9.77 m/sec2

=> g8 = 4 * 3.142 * 52/14.162

                      =   10.22 m/sec2

Average =   9.806 m/sec2

standard deviation = 0.276 m/sec2

standard deviation of mean = 0.0975 m/sec2

uncertainty = 0.195 m/sec2

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