For this trial, our measured period was 1 s (average time of 35 s for 20 oscillations). For trial 4, the mass of the object was kept at 50 g, and the length of the string was kept at 0 m, but the angle of displacement was increased to 20 degrees. The fact that the period changed with the length of the string suggests that the period is dependent on length. When comapared to the calculated (GAV) periods for trials we obtained percent errors of and for trials 1, 2, and 3, respectively. At 0 m, the measured period was 1 s (average time of 35 s for 20 oscillations). At a length of 1 m, the measured period was 2 s (average time of 41 s for 20 oscillations). For example, at a length of 1 m, our measured period was 2 s (with average time of 45 seconds for 20 oscillations). For trials in which we only changed the length of the string and kept the mass and angle of displacement constant, the measured periods became smaller as we decreased the length of the string. Data (attached) Analysis (attached) Conclusion The results of this experiment were very accurate. Here is a pendulum apparatus similar to the setup we used in lab to obtain our data. The slope from the best fit line was used to solve for the experimental value of g. Experimental period for the first three trials was squared and plotted against length of the string in Excel. We then found the average time for each trial, experimental period (in seconds), GAV period, and percent error. The physical properties present within the simple pendulum device include: length of the string, each, giving us three times (in seconds) for each. Angular frequency is related to the physical properties of a system, but it is not dependent on all those properties. The calculated period can be used as a GAV to determine how accurate the measured period is and can be found using the following equation: Another value that can be considered is angular frequency. The following equation can be used to find the measured period: Another useful calculation is the calculated period. The period has units in seconds and is inversely proprortional to the frequency. Therefore, the period of a simpe pendulum is the time it takes to swing from one side to the other and back again. The period is the time it takes to complete one full cycle. As the mass is released from some angle of displacement, the string swings back and forth, with gravity working as the restoring force. When the pendulum is at rest, the displacement angle is equal to zero degrees. Simple pendulums are tools that demonstrate simple harmonic motion (if the angle of displacement is less than 30 degrees). Theory A simple pendulum apparatus consists of a massed object connected to a massless string of a certain length. We also calculated an experimental value for acceleration due to gravity using the period of the pendulum. Related Studylists joye Hunter kp Physics waves Preview text Experiment: Simple Harmonic Motion Simple Pendulum PHYS 215, T 3pm Purpose The purpose of this experiment was to prove that the period of a simple pendulum is independent of both the mass of the hanging object and the angle of displacement of the pendulum.
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