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Modeling Scenario

6-035-Shampoo-ModelingScenario

Author(s): Brian Winkel

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

Keywords: shampoo diluation shower

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Abstract

Resource Image We ask students to model the amount of shampoo in a bottle if when we shower we do not cover the opening at the top of the bottle while in the shower.

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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

Our shampoo has a cap which we must unscrew and then set aside both bottle and cap in our shower hanging dish, thus leaving the shampoo bottle open for shower water to enter. In fact, we unscrew the top, set the top aside and then do two washes of our hair. We use one ``portion'' of shampoo for a first wash of our hair and a second equal ``portion'' of shampoo for the second wash of our hair.

Between the first and second wash when we set the shampoo bottle aside in our shower hanging dish a slight amount of water enters the shampoo bottle through the open top of the shampoo bottle. Some mixes in with the shampoo, but most sits in the top of the shampoo bottle. In our second wash some of that water comes out with the shampoo, reducing the concentration of shampoo ingredients we apply to our hair. After the second wash we set the bottle on our shower hanging dish until we are finished with our shower. At that time we recap the shampoo bottle, but in the meantime from the end of our second wash until we recap the shampoo bottle the shower water does enter the shampoo bottle. How much? Well it depends upon the length of our shower, the opening size of the shampoo bottle, the placement of the shower hanging dish, etc. Other considerations?

Article Files

Authors

Author(s): Brian Winkel

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

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