**ERIC Number:**ED315277

**Record Type:**RIE

**Publication Date:**1989-Dec

**Pages:**12

**Abstractor:**N/A

**Reference Count:**N/A

**ISBN:**N/A

**ISSN:**N/A

The Pendulum and the Calculus.

Sworder, Steven C.

A pair of experiments, appropriate for the lower division fourth semester calculus or differential equations course, are presented. The second order differential equation representing the equation of motion of a simple pendulum is derived. The period of oscillation for a particular pendulum can be predicted from the solution to this equation. As a laboratory experiment, a pendulum can be constructed, the period measured, and the experimental results compared with the analytic solution. In addition, the system of two second order differential equations representing the equations of motion of a pair of spring coupled pendulums is derived; the time between stops for a particular pendulum can be predicted from the solution to this equation. As a laboratory experiment, the coupled pendulum is constructed, the period measured, and the experimental result compared to the analytic solution. (YP)

**Publication Type:**Reports - Descriptive; Guides - Classroom - Teacher

**Education Level:**N/A

**Audience:**Teachers; Practitioners

**Language:**English

**Sponsor:**N/A

**Authoring Institution:**N/A