The Pendulum and the Calculus.

Autor/in	Sworder, Steven C.
Titel	The Pendulum and the Calculus.
Quelle	(1989), (12 Seiten) PDF als Volltext kostenfreie Datei Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Monographie
Schlagwörter	Leitfaden; Unterricht; Lehrer; Calculus; College Mathematics; Higher Education; Laboratory Experiments; Laboratory Procedures; Mathematical Applications; Mathematical Formulas; Mathematics Materials; Mechanics (Physics) + Suchen Sie Ihr Suchwort? Lesson concept; Instruction; Unterrichtsentwurf; Unterrichtsprozess; Teacher; Teachers; Lehrerin; Lehrende; Analysis; Differenzialrechnung; Infinitesimalrechnung; Integralrechnung; Hochschulbildung; Hochschulsystem; Hochschulwesen; Laboratory work; Laborarbeit; Laboruntersuchung; Angewandte Mathematik; Innermathematische Anwendung; Mathematische Formel; Mathematische Tafel; Mechanik
Abstract	A pair of experiments, appropriate for the lower division fourth semester calculus or differential equations course, are presented. The second order differential equation representing the equation of motion of a simple pendulum is derived. The period of oscillation for a particular pendulum can be predicted from the solution to this equation. As a laboratory experiment, a pendulum can be constructed, the period measured, and the experimental results compared with the analytic solution. In addition, the system of two second order differential equations representing the equations of motion of a pair of spring coupled pendulums is derived; the time between stops for a particular pendulum can be predicted from the solution to this equation. As a laboratory experiment, the coupled pendulum is constructed, the period measured, and the experimental result compared to the analytic solution. (YP)
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2004/1/01