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1-063-ThreeHoleColumnOfWater-ModelingScenario

Author(s): Brian Winkel

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

Keywords: falling column of water Torricelli's Law multiple spigots spigots

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Abstract

Resource Image We consider a column of water with three holes or spigots through which water can exit and ask students to model the height of the column of water over time.

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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

This cylinder has three exit holes or spigots. We create a cylinder and offer dimensions and ask you to model the height of the water in the cylindrical column as a function of time using Torricelli's Law.

We will consider two cases. First we will vary the radii of the spigot holes and second we will keep the radii of the spigot holes the same.

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Authors

Author(s): Brian Winkel

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

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