Tracking the Acceleration Due to Gravity and Damping of a Pendulum: A Video Analysis
Main Article Content
Abstract
This study focused on using video analysis to track the acceleration due to gravity and damping of a pendulum. The video tracker analysis software was proven effective in collecting data from several physics experiments. This study offered new insights on using a tracker and combining it with MS Excel to generate a damping graph. A pendulum was set in motion and recorded with a high-speed camera from the iPhone 13. The footage was then analyzed using tracker video analysis, modeling software, and Microsoft Excel to determine the amplitude and frequency of the pendulum's motion. At the same time, the other variables were measured using traditional tools (e.g., the length of the yarn using a meter ruler). The measured values were then used to calculate the acceleration due to gravity and the damping constant of the system. The results showed that the acceleration due to gravity was consistent with the average accepted value, while the damping constant accurately represented what was seen from the generated graph. Overall, this study demonstrated the effectiveness of video analysis in tracking the behavior of physical systems and its potential applications in various fields.
Downloads
Article Details
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
References
Anni, M. (2021). Quantitative Comparison between the Smartphone Based Experiments for the Gravity Acceleration Measurement at Home. Education Sciences, 11(9), 493.
Bura, Y., Jufriansah, A., & Donuata, P. B. (2022). The Effect of Using Phyphox Applications to Improve Learning Outcomes Reviewed from Early Knowledge and Response. Jurnal Pendidikan Fisika dan Teknologi, 8(2), 203-207.
Fatmala, F. D., Suyanto, E., Wahyudi, I., & Herlina, K. (2020). The Effect of GIL Assisted Phyphox in Physics Learning towards Creative Thinking. Jurnal Pembelajaran Fisika, 8(2), 148.
Fitria, N.S.I & Darma, N.M. (2022). Pengembangan Modul Praktikum Osilasi Teredam Pada Pegas Berbasis Analisis Video Berbantuan Tracker. UPEJ Unnes Physics Education Journal, 12(2), 9-16.
Fitzgerald, M. T., McKinnon, D., Danaia, L., & Woodward, S. (2011). Using smartphone camera technology to explore stellar parallax: Method, results, and reactions. Astronomy Education Review, 10(1), 1-8.
Hafez, Y. (2022). Solving the nonlinear pendulum equation with friction and drag forces using the Finite Element Method. The Romanian Journal of Technical Sciences. Applied Mechanics., 67(2), 137-161.
Kanga, L. K., Astro, R. B., & Ika, Y. E. (2021). Analysis of Vertical Movements on Freedom and Bullet Movement Events using Video Tracking Method. ScienceEdu: Jurnal Pendidikan IPA, 4(1), 19-25.
Kecik, K., & Mitura, A. (2020). Energy recovery from a pendulum tuned mass damper with two independent harvesting sources. International Journal of Mechanical Sciences, 174, 105568.
Macuglia, D. (2021). The universe: A book written in the mathematical—and the programming—language. Il nuovo cimento C, 44(1), 1-13.
Martin, T., Frisch, K., & Zwart, J. (2020). Systematic Errors in Video Analysis. The Physics Teacher, 58 (3), 195. https://doi.org/10.1119/1.5145415
Marzari, A., Rosi, T., & Onorato, P. (2021). Three experiments on the Einstein’s lift. European Journal of Physics, 42(4), 045404.
MIT OpenCourseWare (2011). Under, Over and Critical Damping. Retrieved from https://ocw.mit.edu/courses/18-03sc-differential-equations-fall-2011/7e212064ad281d00e1dac893b1f722a7_MIT18_03SCF11_s13_2text.pdf
Niu, Y. L. (2018). Geological understanding of plate tectonics: basic concepts, illustrations, examples and new perspectives. Global tectonics and metallogeny., 10(1), 23-46.
Pennington, Z. T., Dong, Z., Feng, Y., Vetere, L. M., Page-Harley, L., Shuman, T., & Cai, D. J. (2019). ezTrack: An open-source video analysis pipeline for the investigation of animal behavior. Scientific reports, 9(1), 19979.
Pfeiffer, K., Escande, A., Gergondet, P., & Kheddar, A. (2023). The Hierarchical Newton’s Method for Numerically Stable Prioritized Dynamic Control. IEEE Transactions on Control Systems Technology, 1-14.
Rajasekaran, S. (2009). 2 - Free vibration of single-degree-of-freedom systems (undamped) in relation to structural dynamics during earthquakes. Woodhead Publishing Series in Civil and Structural Engineering, Bangkok, Thailand.
Sohn, E., & Hansen, A. (2019). Models and Designs. Norwood House Press.
Tahira, A. H., Ramzan, M., & Khalid, M. (2020). Impulsive Response of Damped Harmonic Oscillator Via Fourier Transform. Nature and Science, 18, 12.
Vidak, A., Šapić, I. M., & Mešić, V. (2021). An augmented reality approach to learning about the force of gravity. Physics Education, 56(6), 065026.
Wabeto, A. (2022). Determining of acceleration due to gravity using video image processing. Available at SSRN: https://ssrn.com/abstract=4066133 or http://dx.doi.org/10.2139/ssrn.4066133
Xiang, Y., Tan, P., He, H., Yao, H., Zheng, X., & Yang, K. (2023). A novel bi-directional rail variable friction pendulum-tuned mass damper (BRVFP-TMD). Mechanical Systems and Signal Processing, 197, 110396.
Zhou, S., Ke, M., Qiu, J., & Wang, J. (2019). A survey of multi-object video tracking algorithms. In International Conference on Applications and Techniques in Cyber Security and Intelligence ATCI 2018: Applications and Techniques in Cyber Security and Intelligence (pp. 351-369). Springer International Publishing.