1-015-Torricelli-ModelingScenario

Brian Winkel; Brian Winkel; Brian Winkel

doi:10.25334/MVZ5-XY50

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Modeling Scenario

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1-015-Torricelli-ModelingScenario

Author(s): Brian Winkel

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

Keywords: data tank column of water aperture Torricelli's Law Conservation of Energyt Solver water flow Excel Solver

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Abstract

We help students develop a model (Torricelli's Law) for the height of a falling column of water with a small hole in the container at the bottom of the column of water through which water exits the column.

Citation

Researchers should cite this work as follows:

Winkel, B. (2022). 1-015-Torricelli-ModelingScenario. SIMIODE, QUBES Educational Resources. doi:10.25334/MVZ5-XY50
BibTex | EndNote

Article Context

Resource Type

Modeling Scenario

Differential Equation Type

Technique

Qualitative Analysis

Application Area

Course

Course Level

Lesson Length

One class period

Technology

Approach

Guided

Skills

Key Scientific Process Skills

Assessment Type

Pedagogical Approaches

Guided inquiry/investigation

Vision and Change Core Competencies - Ability

Create and develop models

Principles of How People Learn

Bloom's Cognitive Level

Application & Analysis

Description

We offer several sources of simulations on YouTube from which one can collect data and ask students to verify their model through parameter estimation.

Article Files

1-015-S-Torricelli-StudentVersion-Spanish.pdf(PDF | 902 KB)
1-015-S-Torricelli-StudentVersion.pdf(PDF | 915 KB)
1-015-S-Torricelli-StudentVersion-Spanish.TEX(TEX | 72 KB)
1-015-S-Torricelli-StudentVersion.TEX(TEX | 67 KB)
1-015-T-Torricelli-TeacherVersion-Spanish.pdf (Instructors only)(PDF | 1 MB)
1-015-T-Torricelli-TeacherVersion.pdf (Instructors only)(PDF | 1 MB)
1-015-T-Torricelli-TeacherVersion-Spanish.TEX (Instructors only)(TEX | 72 KB)
1-015-T-Torricelli-TeacherVersion.TEX (Instructors only)(TEX | 67 KB)
SIMIODE-SPANISH.cls(CLS | 7 KB)
1-15-Torricelli-Activity1-ExpFit.eps(EPS | 92 KB)
SimiodeLogo.jpg(JPG | 271 KB)
1-15-Torricelli-Activity1-GenFit.eps(EPS | 62 KB)
1-15-TorricelliA3A4Plots.eps(EPS | 28 KB)
1-15-TorricelliA3A4Plots.png(PNG | 57 KB)
1-15-TorricelliActivity3Plot.eps(EPS | 107 KB)
1-15-TorricelliActivity5Plot.eps(EPS | 24 KB)
1-15-TorricelliActivity5Plot.png(PNG | 43 KB)
1-15-TorricelliAlicante.eps(EPS | 59 KB)
1-15-TorricelliAlicantePlot.eps(EPS | 80 KB)
1-15-TorricelliAlicanteScreen.eps(EPS | 49 KB)
1-15-TorricelliSetUp.eps(EPS | 458 KB)
1-15-TorricelliSource2.eps(EPS | 163 KB)
1-15-TorricelliSource5.eps(EPS | 162 KB)
1-15-TorricelliTimeToDrainActivity8.eps(EPS | 110 KB)
1-15-TorricelliTimeToEmptyCylinderRadius.eps(EPS | 107 KB)
1-15-TorricelliTimeToEmptySmallHoleRadius.eps(EPS | 107 KB)
1-15-TorricelliVsLinearPlot.eps(EPS | 104 KB)
CompleteModel11Over64InchHole.xlsx (Instructors only)(XLSX | 82 KB)
EXCEL Group Solver for CompleteModel11Over64InchHole.xlsx (Instructors only)(XLSX | 82 KB)
TorrData.jpg(JPG | 46 KB)
TorrDataCollectPic.jpg(JPG | 138 KB)
TorrDataExp.jpg(JPG | 56 KB)
TorrDataLine.jpg(JPG | 51 KB)
TorrDataYouTubeVideo.jpg(JPG | 138 KB)
Torricelli.jpg(JPG | 27 KB)
TorrModelExcel.jpg(JPG | 104 KB)
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Authors

Author(s): Brian Winkel

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

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