The Simple Pendulum Dr. Jonathan lvleair A simple pendulum takes the same amount of time to complete each cycle of its motion. 1When considering what could affect the time per cycle or period of the motion, we can consider at least three factors: - The amplitude of the swing II The mass of the pendulum bob II The length of the pendulum To determine how these factors affect the pendulum period, you can do a controlled experiment in which the period of oscillation is measured while only changing one variable at a time. In this experiment, you will use a stopwatch to measure the period of a pendulum and determine how it is affected by each of the described factors. Learning Objectives 1. Students will determine how the period of a simple pendulum depends on its amplitude, mass, and length. Materials You will need string and some objects to hang from it. For string you can use dental floss, thread from a sewing kit, shing line, shoe laces, etc. Be creative, but be sure that the mass you hang from it is much heavier than the string. To make measurements you will need a stopwatch [such as the one on your cell phone] and a ruler or some other precise measurement tool. if you cannot nd a ruler, remember that [13 letter paper is 8.5 X 1 1.0 inches and 1 inch = 2.54 cm. You should be able to do a fine job making length measurements if you put in the effort. \f\f\f9. Use the model I" or how Ihe period of a pendulum squared depends on its length along with the lit parameters of your linear t to determine an experimental value for the free- i'all gravitation acceleration on Earth. Show your work. {You may nd it helpful to review Ihe \"Data Analysis and Graphing" instruction le to assist in understanding how to compare models to lit equations.) ID. What is the percent error in your experimental value for the freefall gravitational acceleration [g] of Earth? Show your work. It. Conclusion Question: According to the model, how does the period ofa pendulum swing depend on its length? Carefully state the mathematical relationship between them. Does your experiment confirm this relationship? Justify your answer by referencing important features in your graph. Carefully explain your answer using wellwritten complete sentences. I2. Take a picture ofyour experimental setup [including the objects used} and put it in the space below