The Pendulum
Galileo Galilee has expansively performed experiments on pendulums throughout his life, and has researched the parameters and characteristics of their motion. Through further investigation of the Parameters of the Pendulums, he was able to use them as time measurement devices later in his career. These Parameters included how the period of the pendulum is independent from its bob weight, how the period of the pendulum is independent of the amplitude or angle, and how the length of the pendulum varies with the period. Furthermore, through my experiments, I attempted to investigate these parameters, and delve into how the equation of the period in a pendulum functions. Moreover, these experiments too examine Galileo's trials on the conservation of energy and gravity in a pendulum. In Galileo's "Dialogues Concerning Two New Sciences", he conducts experiments on how the period is independent of the bob weight. Moreover, In my experiment on how mass affects the period of the pendulum, different weights were placed on a string of the same length and amplitude. They were both suspended and dropped from an angle of 90 degrees and found to have approximately the same period. Galileo also performed this experiment in his
Therefore, these angles clearly didn't have the same period, but approximately did. The farther you are from the center of the earth, the smaller the force. They were close to being identical but not surely identical. Nonetheless, the pendulum has a larger distance to cover so they balance each other out and the period remains the same. Furthermore, by seeing the relationship of these parameters of length, mass, amplitude, along with the factor of gravity, the period of a pendulum equation is established and could be used for many uses in everyday life. Other factors I didn't test in my experiments that affects how a pendulum swings could be gravity. Galileo's "Dialogues Concerning Two New Sciences", he postulated that the period of a pendulum was independent of the amplitude. " Therefore Gravity does have effect on the pendulum as well as the length, and so does in amplitude in my experiment. The amplitude or angle is not involved in the equation either, therefore my claim that the angle affects the period is false, and the length varies directly with the square of the period is true. Furthermore, since I found out that mass does have an affect on the period equation; it is not included in the equation. Furthermore, the second data set had the longer pendulum length average 9. However, even on earth the force of gravity is not the same in all places. Also, as gravity gets larger, the period will get shorter (it falls faster). The pendulum is then followed by faster oscillations because of the height of distance involved in v2 in the kinetic energy formula.
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