Maximizing the Spectacle of Water Fountains

Autor/in	Simoson, Andrew J.
Titel	Maximizing the Spectacle of Water Fountains
Quelle	In: College Mathematics Journal, 40 (2009) 4, S.263-274 (12 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0746-8342
Schlagwörter	Measurement; Mathematical Concepts; Validity; Mathematical Logic; Mathematics Instruction; College Mathematics; Water; Geometric Concepts; Geometry + Suchen Sie Ihr Suchwort? Messverfahren; Gültigkeit; Mathematical logics; Mathematische Logik; Mathematics lessons; Mathematikunterricht; Wasser; Elementare Geometrie; Geometrie
Abstract	For a given initial speed of water from a spigot or jet, what angle of the jet will maximize the visual impact of the water spray in the fountain? This paper focuses on fountains whose spigots are arranged in circular fashion, and couches the measurement of the visual impact in terms of the surface area and the volume under the fountain's natural suggested surface (i.e., the surface of revolution of any one of the streams of water about the central axis of the fountain). Pappus' two theorems involving the centroid of an arc and of an area are used as keys to answer the question. The critical angle is, in general, other than 60 degrees. (As Provided).
Anmerkungen	Mathematical Association of America. 1529 Eighteenth Street NW, Washington, DC 20036. Tel: 800-741-9415; Tel: 202-387-5200; Fax: 202-387-1208; e-mail: maahq@maa.org; Web site: http://www.maa.org/pubs/cmj.html
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10