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1-107-ClothDry-ModelingScenario

Author(s): Brian Winkel

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

Keywords: drying cloth evaporation

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Abstract

Resource Image We build a mathematical model for the rate of drying in a wet cloth while hanging in air. A model can be based on underlying physical principles (analytic) or based on observations and reasoned equations, but no physical assumptions (empirical).

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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

A very common phenomenon is the drying of a face cloth or wash cloth. As time goes on the mass of the water in the cloth decreases. But at what rate does it decrease? What physical assumptions might you make to build a differential equation for W'(t), the rate of change in the mass of the wash cloth over time? We conducted an experiment for you and collected data for which you can build a differential equation model for W(t) the mass (in grams) of the water in the cloth at time t (in minutes).

 

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Authors

Author(s): Brian Winkel

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

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