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1-064-TorricelliBox-ModelingScenario

Author(s): Brian Winkel

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

Keywords: groundwater flow column of water Torricelli's Law water displacement submerged box

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Abstract

Resource Image The time it takes a column of water to empty and the time it takes the same volume of column of water with a box (various sizes) submerged in the column of water are compared through modeling with Torricelli's Law.

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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 study the emptying a column of water through a small bore hole at the bottom of the column of water. We use Torricelli's Law in which we have a differential equation we can use to solve for the height, h(t) m, of the water in the column at time t as the water is emptying the column through a small bore hole at the bottom of the column of water

Article Files

  • pdf 1-064-S-TorricelliBox-StudentVersion.pdf(PDF | 408 KB)
  • tex 1-064-S-TorricelliBox-StudentVersion.tex(TEX | 11 KB)
  • nb 1-064-T-Mma-TorricelliBox-TeacherVersion.nb (Instructors only)(NB | 763 KB)
  • pdf 1-064-T-Mma-TorricelliBox-TeacherVersion.pdf (Instructors only)(PDF | 907 KB)
  • nb 1-064-T-Mma-TorricelliBox-With-WithoutBox-TeacherVersion.nb (Instructors only)(NB | 1 MB)
  • pdf 1-064-T-Mma-TorricelliBox-With-WithoutBox-TeacherVersion.pdf (Instructors only)(PDF | 1 MB)
  • pdf 1-064-T-TorricelliBox-TeacherVersion.pdf (Instructors only)(PDF | 411 KB)
  • tex 1-064-T-TorricelliBox-TeacherVersion.tex (Instructors only)(TEX | 11 KB)
  • jpg BoxesPic.jpg(JPG | 61 KB)
  • cls SIMIODE.cls(CLS | 7 KB)
  • jpg SimiodeLogo.jpg(JPG | 271 KB)
  • License terms

Authors

Author(s): Brian Winkel

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

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