Co-deriving the Formulas for Centripetal Acceleration and Mass-Spring Period

Autor/in	Eichenlaub, Mark
Titel	Co-deriving the Formulas for Centripetal Acceleration and Mass-Spring Period
Quelle	In: Physics Teacher, 60 (2022) 4, S.258-259 (2 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Zusatzinformation	ORCID (Eichenlaub, Mark)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0031-921X
Schlagwörter	Science Instruction; Scientific Concepts; Motion; Mechanics (Physics); Mathematical Formulas + Suchen Sie Ihr Suchwort? Teaching of science; Science education; Natural sciences Lessons; Naturwissenschaftlicher Unterricht; Bewegungsablauf; Mechanik; Mathematische Formel
Abstract	There is a close connection between simple harmonic motion and uniform circular motion. This connection is widely taught and included in standard textbooks. Here, we exploit this connection to simultaneously derive two results from introductory mechanics: the period of a mass-spring system and the centripetal acceleration formula. Previously published derivations of the centripetal acceleration formula often rely on calculus, either via explicit computation or arguing geometrically about limits. One approach relies entirely on the kinematics of vectors, without invoking limits. Our approach likewise does not use limits, but is rooted in dynamics. (As Provided).
Anmerkungen	American Association of Physics Teachers. One Physics Ellipse, College Park, MD 20740. Tel: 301-209-3300; Fax: 301-209-0845; e-mail: pubs@aapt.org; Web site: http://aapt.scitation.org/journal/pte
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01