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All Journal Time in Physics: Journal for Theoretical, Instrumentation, Material-Molecular, and Education Physics
Tri Isti Hartini
Jurusan Pendidikan Fisika, Fakultas Keguruan dan Ilmu Pendidikan, Universitas Muhammadiyah Prof. Dr. HAMKA, Jakarta, Indonesia
Education Mathematics Physics

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Analysis of the Differences Between Spring and Pendulum Oscillation Signals Using the Taylor Series Approach Fitroh Abdul Malik; Rayya Nurfauziah; Siti Sofiah Tiska Pratama; Imas Ratna Ernawati; Tri Isti Hartini
TIME in Physics Vol. 4 No. 1 (2026): March
Publisher : Universitas Mandiri

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Abstract

This study aims to analyze and compare the characteristics of oscillation signals in spring and pendulum systems using the Taylor series approach to understand the influence of mathematical approximations on the physical representation of harmonic and non-harmonic oscillatory phenomena. The research method employs experimental simulations using PhET Interactive Simulations in the Masses and Springs and Pendulum Lab modules with small and large displacement variations. The analysis is conducted by comparing oscillation signals obtained from the first-order Taylor series approximation for the spring system and the third-order approximation for the pendulum system with ideal data and simulation results. The results indicate that the Taylor series approach is capable of quantitatively visualizing differences in modeling accuracy based on the order of approximation used. In conclusion, this study demonstrates that the spring system can be accurately represented using a linear (first-order) approximation, whereas the pendulum system requires a higher-order (third- order) approximation to maintain accuracy at large displacements. This study provides an educational contribution by strengthening students’ understanding of modeling real physical systems through appropriate mathematical approaches.
Co-Authors Fitroh Abdul Malik Imas Ratna Ernawati Rayya Nurfauziah Siti Sofiah Tiska Pratama