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ERIC Number: EJ831639
Record Type: Journal
Publication Date: 2009-Mar
Pages: 13
Abstractor: As Provided
ISSN: ISSN-1051-1970
Pendulum Motion and Differential Equations
Reid, Thomas F.; King, Stephen C.
PRIMUS, v19 n2 p205-217 Mar 2009
A common example of real-world motion that can be modeled by a differential equation, and one easily understood by the student, is the simple pendulum. Simplifying assumptions are necessary for closed-form solutions to exist, and frequently there is little discussion of the impact if those assumptions are not met. This article presents a relatively simple, real-world example that instructors can use in the classroom to let students explore the effect of simplifying assumptions on a model's ability to reflect real-world behavior. We illustrate using linear and nonlinear restoring force assumptions for the pendulum model, comparing the model results with data from an actual pendulum. (Contains 8 figures.)
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A