[SOLUTION] Data Calculations

You were to choose a mass and angle and perform 20 trials for 5 different lengths of the pendulum string. Prepare a formal lab report for submission focusing only on the following sections:Data Calculations SectionInclude tables of your raw data, sample mean, standard deviation, and standard error. In each caption, state the value of the mass and angle used for all trials.Include a plot of the functional dependence of length on the period of the pendulum. You should have three plots for each of the three types of functional linearization (i.e, T vs L, T vs L2, T2 vs L).Remember, tables and plots must contain proper captions. In each caption, state the value of the mass and angle used for all trials.  Also, be sure to print the equation of the line and R2 value in each caption. This R2 value is called a linear regression coefficient. Discussion SectionExplain which of the three functional models most likely models the dependence of the period on the length of the strength and how you came to that conclusion. Remark on the size of the error bars. If they are relatively large, explain how that could diminish confidence in your results. Also explain how you could improve the results of your experiment without simply purchasing better equipment.Questions Section1. Using the theoretical mathematical model for the period of a pendulum, predict what the period would be for a pendulum of length 0.50 m. Compare this to the experimental value on your graph. How do they compare?2. If you were asked to construct a pendulum with a period of 5 seconds, how long should its length be? Explain how you arrived at your answer.

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