Artículo
Abstract:
A simple model of damped harmonic motion is usually presented in undergraduate physics textbooks and straightforwardly applied for a variety of well-known experiments in student laboratories. Results for the decaying vertical oscillation of a sphere attached to the lower end of a spring in containers with different liquids are analysed here under this standard framework. Some important mismatches between observation and theory are found, which are attributed to oversimplifications in the formulation of the drag force. A more elaborate expression for the latter within a semiempirical approach is then introduced and a more appropriate description of the measurements is shown to be attained. Two coefficients account for experimental corrections, which under certain conditions permit in addition the calculation of specific fluid quantities associated with the oscillating sphere. Rough relations between viscosity and damping factor under appropriate limits are derived. The laboratory experience may also be used to introduce the concept of a semiempirical model and exhibit its utility in physics. © 2005 IOP Publishing Ltd.
Registro:
| Documento: | Artículo |
| Título: | A semiempirical approach to a viscously damped oscillating sphere |
| Autor: | Alexander, P.; Indelicato, E. |
| Filiación: | Departamento de Física, Facultad de Cie. Exact. y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina Laboratorio de Mecanica Elemental, Departamento de Física, Facultad de Cie. Exact. y Naturales, Buenos Aires, Argentina |
| Palabras clave: | Approximation theory; Damping; Equations of motion; Mathematical models; Spheres; Viscosity of liquids; Drag force; Oscillating sphere; Oscillations |
| Año: | 2005 |
| Volumen: | 26 |
| Número: | 1 |
| Página de inicio: | 1 |
| Página de fin: | 10 |
| DOI: | http://dx.doi.org/10.1088/0143-0807/26/1/001 |
| Título revista: | European Journal of Physics |
| Título revista abreviado: | Eur J Phys |
| ISSN: | 01430807 |
| CODEN: | EJPHD |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01430807_v26_n1_p1_Alexander |
Referencias:
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- Mellen, W.R., Oscillation of a gas balloon due to a temperature gradient (1990) Am. J. Phys., 58, p. 781
- Bisquert, J., Ramirez, P., Barbero, A.J., Mafé, S., A classroom demonstration on air drag forces (1991) Eur. J. Phys., 12, p. 249
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- Landau, L.D., Lifshitz, E.M., (1959) Fluid Mechanics, , (New York: Pergamon)
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Citas:
---------- APA ----------
Alexander, P. & Indelicato, E. (2005) . A semiempirical approach to a viscously damped oscillating sphere. European Journal of Physics, 26(1), 1-10.http://dx.doi.org/10.1088/0143-0807/26/1/001
---------- CHICAGO ----------
Alexander, P., Indelicato, E. "A semiempirical approach to a viscously damped oscillating sphere" . European Journal of Physics 26, no. 1 (2005) : 1-10.http://dx.doi.org/10.1088/0143-0807/26/1/001
---------- MLA ----------
Alexander, P., Indelicato, E. "A semiempirical approach to a viscously damped oscillating sphere" . European Journal of Physics, vol. 26, no. 1, 2005, pp. 1-10.http://dx.doi.org/10.1088/0143-0807/26/1/001
---------- VANCOUVER ----------
Alexander, P., Indelicato, E. A semiempirical approach to a viscously damped oscillating sphere. Eur J Phys. 2005;26(1):1-10.http://dx.doi.org/10.1088/0143-0807/26/1/001
