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6-030-SaltAndTorricelli-ModelingScenario

Author(s): Brian Winkel

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

Keywords: whole picture tank mixing flow column of water salt mixing graduated cylinder aperture Torricelli's Law

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Abstract

Resource Image We build on a model for the height of a falling column of water with a small hole in the container at the bottom of the column of water. We use data from one video of a falling column of water.

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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

We set the students to analyzing two further situations. First, we add a constant or varying amount of water to the cylinder over time and seek to revise the model. Second, we add a constant or varying amount of water with salt in it and and seek to determine the amount of salt in the column of water over time.

Article Files

Authors

Author(s): Brian Winkel

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

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