A semiempirical approach to a viscously damped oscillating sphere
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 container...
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| Formato: | JOUR |
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_01430807_v26_n1_p1_Alexander |
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todo:paper_01430807_v26_n1_p1_Alexander2023-10-03T14:59:12Z A semiempirical approach to a viscously damped oscillating sphere Alexander, P. Indelicato, E. Approximation theory Damping Equations of motion Mathematical models Spheres Viscosity of liquids Drag force Oscillating sphere Oscillations 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_01430807_v26_n1_p1_Alexander |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Approximation theory Damping Equations of motion Mathematical models Spheres Viscosity of liquids Drag force Oscillating sphere Oscillations |
| spellingShingle |
Approximation theory Damping Equations of motion Mathematical models Spheres Viscosity of liquids Drag force Oscillating sphere Oscillations Alexander, P. Indelicato, E. A semiempirical approach to a viscously damped oscillating sphere |
| topic_facet |
Approximation theory Damping Equations of motion Mathematical models Spheres Viscosity of liquids Drag force Oscillating sphere Oscillations |
| description |
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. |
| format |
JOUR |
| author |
Alexander, P. Indelicato, E. |
| author_facet |
Alexander, P. Indelicato, E. |
| author_sort |
Alexander, P. |
| title |
A semiempirical approach to a viscously damped oscillating sphere |
| title_short |
A semiempirical approach to a viscously damped oscillating sphere |
| title_full |
A semiempirical approach to a viscously damped oscillating sphere |
| title_fullStr |
A semiempirical approach to a viscously damped oscillating sphere |
| title_full_unstemmed |
A semiempirical approach to a viscously damped oscillating sphere |
| title_sort |
semiempirical approach to a viscously damped oscillating sphere |
| url |
http://hdl.handle.net/20.500.12110/paper_01430807_v26_n1_p1_Alexander |
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1807321731610705920 |