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All Journal Journal of Teaching and Learning Physics Journal of Physics: Theories and Applications
Endah Nur Syamsiah
Universitas Kebangsaan Republik Indonesia
Education Materials Science & Nanotechnology Physics

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Modified time-dependent linear thermal expansion equation: using Inhomogeneous 1-D heat equation Muhammad Rizka Taufani; Adam Hadiana Aminudin; Endah Nur Syamsiah; Keiichi Yoshua Togatorop
Journal of Physics: Theories and Applications Vol 9, No 2 (2025): Journal of Physics: Theories and Applications
Publisher : Universitas Sebelas Maret

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20961/jphystheor-appl.v9i2.110756

Abstract

The correction factor must be derived from the results of the linear thermal expansion experiment. We have two ways to address this problem: we use the form of polynomials for the linear thermal coefficient, and one must solve the one-dimensional heat diffusion equation. The temperature function that we obtained is the solution for the inhomogeneous differential equation. Using those two, then combine them into a modified linear thermal expansion equation, i.e., the infinitesimal form of the equation, so that we could find the expression for the time-dependent expansion for the metal rod, . We should attempt to reduce the higher-order terms by taking the approximation as our first step in this paper. Finally, the observer may choose a suitable boundary condition for the formula and use the resulting equation as the correction factor.
DEVELOPMENT OF LITA (LIQUID TILT ACCELEROMETER): AN ALTERNATIVE INSTRUMENT FOR ACCELERATION MEASUREMENT IN LINEAR MOTION EXPERIMENTS Endah Nur Syamsiah; Muhammad Rizka Taufani; Adam Hadiana Aminudin; Hilman Panji Firdaus; Adit Putra
Journal of Teaching and Learning Physics Vol. 11 No. 1 (2026): Journal of Teaching and Learning Physics (February 2026)
Publisher : UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/jotalp.v11i1.54154

Abstract

This study aims to design an alternative instrument for measuring acceleration in linear motion dynamics experiments, named LiTA (Liquid Tilt Accelerometer). The research employed a Research and Development (R&D) method using the ADPT (Analysis, Design, Prototyping, and Testing) approach. The needs analysis stage was conducted using a questionnaire, and the data were analyzed with VOSviewer. The results of the needs analysis revealed that the required experimental instrument should be easily obtainable at an affordable cost, simple in both operation and maintenance, and Integrated technology with digital support is already available. The design of LiTA utilizes the movement of water in a vessel mounted on a dynamics cart. The object’s acceleration is determined based on the inclination of the water surface inside the vessel. The prototyping of LiTA used transparent acrylic with black striped transparent stickers attached as a reference to help measure the air slope in the vessel. The testing process was carried out by conducting experiments to measure the acceleration of an object, and the results were compared with the theoretical acceleration values. The experimental data were analyzed using a paired sample t-test and the Bland–Altman plot method. The results of the paired sample t-test showed a p-value greater than 0.05, specifically 0.079, at a 95% confidence level. This indicates that there is no significant difference between the calculated acceleration and the experimental acceleration, when the pulley’s moment of inertia is included in the acceleration calculation. All data points fall within the limits of agreement when analyzed using the Bland–Altman plot. The LiTA acceleration measurement instrument can serve as an alternative apparatus for experiments on linear motion dynamics. It provides a feasible solution for measuring acceleration in situations where conventional experimental equipment is limited or unavailable.
Co-Authors Adit Putra Aminudin, Adam Hadiana Hilman Panji Firdaus Keiichi Yoshua Togatorop Muhammad Rizka Taufani