IJPAM: Volume 78, No. 5 (2012)

MATHEMATICS OF FANS

Yutaka Nishiyama
Department of Business Information
Faculty of Information Management
Osaka University of Economics
2, Osumi Higashiyodogawa Osaka, 533-8533, JAPAN


Abstract. This paper explains why some fans appear to rotate backwards because of a stroboscopic effect. The phenomenon is often seen with fans in movies. After estimating fan rotation by mathematical formulae, many applications of stroboscopes are shown.

Received: February 8, 2012

AMS Subject Classification: 00A08, 00A09, 97A20

Key Words and Phrases: stroboscopic effect, virtual rotation, alternating current, movie frames

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 78
Issue: 5