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3-085-SimplePendulum-ModelingScenario

Author(s): John Sieben

Keywords: Newton's Second Law of Motion pendulum kinetic energy potential energy Conservation of Energyt initial conditions small angle approximation Taylor polynomial percent error

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Abstract

Resource Image Thestudent is asked to derive and solve a differential equation that gives the position (angle

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Researchers should cite this work as follows:

Article Context

Resource Type
Differential Equation Type
Technique
Qualitative Analysis
Application Area
Course
Course Level
Lesson Length
Technology
Approach
Skills
Key Scientific Process Skills
Assessment Type
Pedagogical Approaches
Vision and Change Core Competencies - Ability
Principles of How People Learn
Bloom's Cognitive Level

Description

The differential equation is solved for (t). Then the student is asked to build a physical pendulum and assign initial conditions to the general solution to obtain a particular solution that applies to the student’s constructed physical pendulum.

The student measures the period of his/her physical pendulum and a comparison is made between the period obtained from the particular solution and the period as measured from the physical pendulum. As an additional exercise the student is asked to construct a second pendulum and use this apparatus to find the acceleration due to gravity. 

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Authors

Author(s): John Sieben

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