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ERIC Number: EJ921597
Record Type: Journal
Publication Date: 2011-Jan
Pages: 4
Abstractor: As Provided
Reference Count: 20
ISBN: N/A
ISSN: ISSN-0021-9584
Can One Take the Logarithm or the Sine of a Dimensioned Quantity or a Unit? Dimensional Analysis Involving Transcendental Functions
Matta, Cherif F.; Massa, Lou; Gubskaya, Anna V.; Knoll, Eva
Journal of Chemical Education, v88 n1 p67-70 Jan 2011
The fate of dimensions of dimensioned quantities that are inserted into the argument of transcendental functions such as logarithms, exponentiation, trigonometric, and hyperbolic functions is discussed. Emphasis is placed on common misconceptions that are not often systematically examined in undergraduate courses of physical sciences. The argument of dimensional inhomogeneity of the terms of a Taylor expansion of a transcendental function presented in some nonpeer-reviewed popular Internet sites is shown to be false.
Division of Chemical Education, Inc and ACS Publications Division of the American Chemical Society. 1155 Sixteenth Street NW, Washington, DC 20036. Tel: 800-227-5558; Tel: 202-872-4600; e-mail: eic@jce.acs.org; Web site: http://pubs.acs.org/jchemeduc
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A