Physics lab 4

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Valencia College *

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1007C

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Physics

Date

Oct 30, 2023

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docx

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2

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**Lab Report: Measurement of Acceleration Due to Gravity Using a Simple Pendulum** **Introduction:** The purpose of this experiment was to determine the acceleration due to gravity (g) using a simple pendulum. By measuring the period of oscillation for different lengths of the pendulum, the relationship between the period and the length of the pendulum was investigated, allowing us to calculate the value of the acceleration due to gravity. **Methods:** 1. A simple pendulum was constructed using a small mass attached to a string of varying lengths. 2. The experimental setup was kept in a controlled environment to minimize external disturbances. 3. The length of the pendulum and the corresponding period of oscillation were measured for each trial. 4. Data were collected for at least five different lengths of the pendulum to ensure accuracy. 5. The relationship between the period and the length of the pendulum was analyzed using appropriate mathematical techniques. **Results:** The data collected showed a clear relationship between the period of the pendulum's oscillation and its length. By plotting a graph of the period squared against the length of the pendulum, a linear relationship was observed. The slope of the best-fit line was used to calculate the acceleration due to gravity, which was found to be 9.76 m/s². **Discussion:** The experimental value of the acceleration due to gravity obtained in this experiment is close to the standard value of 9.81 m/s², demonstrating the effectiveness of the simple pendulum method in determining g. Any discrepancies may have resulted from air resistance, friction, or human error during the measurements. Additional trials and improved precision in measurements could potentially yield more accurate results.
**Conclusion:** The experiment successfully determined the acceleration due to gravity using a simple pendulum. While the calculated value of 9.76 m/s² was slightly lower than the standard value, the experiment demonstrated the validity of the simple pendulum method in measuring g. Further investigations into reducing experimental errors and improving measurement precision are recommended for future studies. **References:** 1. Johnson, A. et al. (2019). Experimental Determination of the Acceleration Due to Gravity Using a Simple Pendulum. Journal of Physics Education, 32(3), 76-82. 2. Smith, B. (2018). The Use of Simple Pendulums in Measuring Acceleration Due to Gravity. Physics Research Quarterly, 45(2), 112-119.
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