Título:
Coupled oscillations of the Wilberforce pendulum unveiled by smartphones
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Autor:
Gallot, Thomas
Gau de León, Daniel
García-Tejera, Rodrigo
Gau de León, Daniel
García-Tejera, Rodrigo
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Artículo
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Palabras clave:
Coupled oscillators
Measuring instruments,
Gyroscope
Spring constants
Rotational dynamics
Programming languages
Wilberforce pendulum
Coordinate system
Educational practices
Physics education research
Measuring instruments,
Gyroscope
Spring constants
Rotational dynamics
Programming languages
Wilberforce pendulum
Coordinate system
Educational practices
Physics education research
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Año de publicación:
2022
Contenido:
Resumen:
The Wilberforce pendulum is a great experience for illustrating important properties of coupled oscillatory systems, such as normal modes and beat phenomena, in physics courses. A helical spring attached to a mass comprises this simple but colorful device that features longitudinal and torsional oscillations, catching the eye of students and teachers, and offering a fantastic environment to study coupled oscillations at qualitative and quantitative levels. However, the experimental setups that are commonly used to simultaneously acquire both oscillation types can be cumbersome and/or costly, often requiring two synchronised cameras, or motion sensors and photo-gates integrated by an expensive analog-to-digital converter. Here, we show that a smartphone can be the perfect device for recording the oscillations of a Wilberforce pendulum composed of just an educational helical spring and a can. Our setup employs a smartphone’s accelerator and gyroscope to acquire data from the longitudinal and torsional oscillations, respectively. This setup can successfully record both normal modes and beats. Furthermore, we show that our experimentally obtained time-series and power spectra are in great agreement with simulations of the motion equations. In addition, we critically analyse how to set the initial conditions to observe both normal modes and beats. We believe our study contributes to bring the striking physics of the Wilberforce pendulum closer to undergraduate classrooms with low-cost, highly-accessible materials.
Descripción:
Publicado en: American Journal of Physics, 2023, 91(11): 873-878. DOI: doi.org/10.1119/5.0138680
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arXiv
EN:
arXiv:2212.06949, dic 2022, pp 1-20
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Citación:
Gallot, T, Gau de León, D y García-Tejera, R. "Coupled oscillations of the Wilberforce pendulum unveiled by smartphones". [Preprint]. arXiv:2212.06949 [physics.ed-ph] https://doi.org/10.48550/arXiv.2212.06949
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Licencia Creative Commons Atribución (CC - By 4.0)
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| Ficheros | Descripción | Tamaño | Formato | ||
|---|---|---|---|---|---|
| 2212.06949.pdf | — | 457.69 KB | Adobe PDF |