Description
We collect data on falling column of water from a YouTube video and model the height as a function of time.
Resources
Article or Presentation
2020-TeachingModule-ModelingFallingColumnOfWater
192 total view(s), 575 download(s)
Abstract
Citation
Researchers should cite this work as follows:
- Winkel, B. (2023). 2020-TeachingModule-ModelingFallingColumnOfWater. SIMIODE, QUBES Educational Resources. doi:10.25334/1633-DA43
Article Context
Resource Type
Differential Equation Type
Technique
Qualitative Analysis
Application Area
Course
Course Level
Lesson Length
Technology
Approach
Skills
Vision and Change Core Competencies - Ability
Bloom's Cognitive Level
Article Files
Module-Class-Torricelli.pdf(PDF | 1 MB)
CompleteModel11Over64InchHole.xlsx(XLSX | 22 KB)- Data11Over64InchHole.xlsx(XLSX | 13 KB)
ExcelModelData.jpg(JPG | 78 KB)- ExcelModelDataOpt.jpg(JPG | 54 KB)
- ExcelModelPlot.jpg(JPG | 18 KB)
- ExcelModelPlotOpt.jpg(JPG | 17 KB)
Instructions for Adding Solver to Google Drives.docx(DOCX | 12 KB)- Module-Class-Torricelli.pdf(PDF | 1 MB)
Module-Class-Torricelli.TEX(TEX | 21 KB)
RemoteTeachingModule-Class-Torricelli-Video-Thumbnail.png(PNG | 153 KB)
RemoteTeachingModule-Class-Torricelli-Video.mp4(MP4 | 80 MB)- TorrData.jpg(JPG | 46 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)
- License terms
Comments
Comments
0 Like
Li Zhang @ on
This modeling scenario provides students an opportunity to collect data, estimate parameters and build a mathematical model using a differential equation and physical laws. It's a great example for instructors teaching a mathematical modeling and/or a differential equations course. I used the resources provided here while I was teaching a mathematical modeling course last fall. Students seemed to appreciate and enjoy the learning experience.
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