In the following plots we study the dependence of the period of the pendulum on the initial angle. Compare the experimental data and the simulations obtained using both the effective and the fitted length. For more information about these lengths, go to the practice page. In the simulation shown, the fitted length is calculated for initial angle 15 degrees. The initial angular velocity is always 0 rad/sec.
For what initial angles is there a good agreement between the experimental values of the period and the period predicted from the nonlinear theory?