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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Detalles Bibliográficos
Autor principal: Alexander, P.
Otros Autores: Indelicato, E.
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2005
Acceso en línea:Registro en Scopus
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100 1 |a Alexander, P. 
245 1 2 |a A semiempirical approach to a viscously damped oscillating sphere 
260 |c 2005 
270 1 0 |m Alexander, P.; Departamento de Física, Facultad de Cie. Exact. y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina; email: peter@df.uba.ar 
506 |2 openaire  |e Política editorial 
504 |a Gupta, V.K., Shanker, G., Sharma, N.K., Experiment on fluid drag and viscosity with an oscillating sphere (1986) Am. J. Phys., 54, p. 619 
504 |a Mellen, W.R., Oscillation of a gas balloon due to a temperature gradient (1990) Am. J. Phys., 58, p. 781 
504 |a Bisquert, J., Ramirez, P., Barbero, A.J., Mafé, S., A classroom demonstration on air drag forces (1991) Eur. J. Phys., 12, p. 249 
504 |a Peters, R.D., Pritchett, T., The not-so-simple harmonic oscillator (1997) Am. J. Phys., 65, p. 1067 
504 |a Timmerman, P., van der Weele, J.P., On the rise and fall of a ball with linear or quadratic drag (1999) Am. J. Phys., 67, p. 538 
504 |a Libii, J.N., Demonstration of viscous damping in the undergraduate laboratory (2000) Am. J. Phys., 68, p. 195 
504 |a Wang, X., Schmitt, C., Payne, M., Oscillations with three damping effects (2002) Eur. J. Phys., 23, p. 155 
504 |a Mallinckrodt, A.J., Drag forces (2003) Phys. Teach., 41, p. 261 
504 |a Zonetti, L.F.C., Camargo, A.S.S., Sartori, J., de Sousa, D.F., Nunes, L.A.O., A demonstration of dry and viscous damping of an oscillating pendulum (1999) Eur. J. Phys., 20, p. 85 
504 |a Landau, L.D., Lifshitz, E.M., (1959) Fluid Mechanics, , (New York: Pergamon) 
504 |a Batchelor, G.K., (1967) an Introduction to Fluid Dynamics, , (Cambridge: Cambridge University Press) 
504 |a Lamb, H., (1997) Hydrodynamics, , (New York: Cambridge University Press) 
520 3 |a 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.  |l eng 
593 |a Departamento de Física, Facultad de Cie. Exact. y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina 
593 |a Laboratorio de Mecanica Elemental, Departamento de Física, Facultad de Cie. Exact. y Naturales, Buenos Aires, Argentina 
690 1 0 |a APPROXIMATION THEORY 
690 1 0 |a DAMPING 
690 1 0 |a EQUATIONS OF MOTION 
690 1 0 |a MATHEMATICAL MODELS 
690 1 0 |a SPHERES 
690 1 0 |a VISCOSITY OF LIQUIDS 
690 1 0 |a DRAG FORCE 
690 1 0 |a OSCILLATING SPHERE 
690 1 0 |a OSCILLATIONS 
700 1 |a Indelicato, E. 
773 0 |d 2005  |g v. 26  |h pp. 1-10  |k n. 1  |p Eur J Phys  |x 01430807  |w (AR-BaUEN)CENRE-4680  |t European Journal of Physics 
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