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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-23 18:31 |
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Conference: Bucharest University Faculty of Physics 2017 Meeting
Section: Physics Education
Title:
The study of the free and damped harmonic oscillations using the accelerometer of the mobile phone
Authors:
Marin OPREA (1,2), Cristina MIRON (1)
*
Affiliation:
1) University of Bucharest, Faculty of Physics, P.O.Box MG-11, Magurele, 077125 Bucharest, Romania
2)"Mihai Viteazul" School, Calarasi, Romania
E-mail
opreamarin2007@yahoo.com
Keywords:
smartphone, accelerometer, free harmonic oscillation, damped harmonic oscillation
Abstract:
The study of the free and damped harmonic oscillations can be performed during Physics classes using the accelerometer of a smartphone. The oscillating body suspended by a spring is the smartphone itself. Using the application Linear Accelerometer we can visualize in real time the Cartesian components of the acceleration vector associated with the movement of the mobile phone. In this study we analyze a one-dimension oscillating motion of a smartphone and we perform a phenomenologic study of a graph associated with the recording of the system’s acceleration. The analysis of the graph implied its separation in two time areas. The first area, situated in the beginning of the graph, containing constant amplitude oscillations, was associated with the free harmonic oscillation regime, while the second area of the graph, extended towards the end of the motion, was associated with the damped oscillations regime. From the analysis of the graph area associated with the free harmonic oscillation regime we deducted the maximum value of the acceleration, the period, the frequency. Based on these physical measurements we calculated the values of the motion amplitude, the elastic constant of the spring, the maximum speed and the maximum kinetic energy. From the study on the area associated with the damped oscillation regime we deducted, in addition to the values of the physical measurements stated earlier, the values of the damping coefficient, of the relaxation time and of the quality factor of the oscillating system. The analysis of the damped harmonic oscillations and the calculus of its parameters were performed for springs with a wide range of elastic constants.
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