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4. Rearrange the equation to solve for the constant g. Compute the value of g for each length used. 5. As part of the Error
4. Rearrange the equation to solve for the constant g. Compute the value of g for each length used. 5. As part of the Error Analysis, you should find the average and standard deviation for g from the 4 {or more} values to provide its uncertainty range. Then a % error is found between this average and the accepted value. Does the accepted value of g fall within this range? It so, you have no systematic errors w the uncertainty is simply due to random error. Table 3: Period with Varying Mases and Amplitude with a Constant String Length Number of Oscillations: |10 Pendulum Length Time for N m . oscillations 5 Period '5) 15 [1.050 |10 9.52 0.952 15 |20 9.55 0.955 15 |30 9.59 0.959 | Average: 9.55 Average: 0.955 30 [1.100 |10 11.67 1.167 30 |20 11.70 1.170 30 |30 11.73 1.173 | Average: 11.7 Average: 1.17 45 [1.250 |10 13.78 1.378 45 |20 13.80 1.380 45 |30 13.95 1.395 | Average: 13.8-1- Average: 1.38-1- 60 [1.150 |10 15.78 1.578 60 0 15.89 1.589 60 15.98 1.598 Average: 15.88 Average: 1.588 Table 4: Period at Varying String Lengths with Constant Mass Mass (kg): 250 Number of Oscillations: 10 Pendulum Length (m) Amplitude (") Time for N oscillations (s) Period (s) 15 10 13.98 1.398 15 20 14.05 1.405 15 30 14.18 1.418 Average: 14.07 Average: 1.407 30 10 14.76 1.476 30 20 14.83 1.483 30 30 14.95 1.495 Average: 14.85 Average: 1.485 45 10 16.78 1.678 45 20 16.86 1.686 45 30 16.93 1.693 Average: 16.86 Average: 1.686 60 10 17.04 1.704\f3. Create a plot of the period vs. length (fashion it the same you did for Experiment 1). Comment on the general shape of your plot and relate this shape to the equation describing the period of a pendulum: T = 20
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