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1-043-CoolingUpAndDown-ModelingScenario

Author(s): Brian Winkel

SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

Keywords: temperature oscillation Newton's Law of Cooling cooling thermostat air conditioner

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Abstract

Resource Image We consider modeling the attempt of an air conditioner to cool a room to a ``constant'' temperature.

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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

Build a simple differential equation model of an air conditioner cooling down a small room, originally at 90oF, to a comfortable 65oF.

Make the model more realistic by reflecting the true activities of the AC unit.

Can you think of other phenomena that have this oscillatory behavior as a final ``settling point?''

If so, build a model for your phenomena.

Article Files

Authors

Author(s): Brian Winkel

SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

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