3-016-FallingCoffeeFilters-ModelingScenario

Brian Winkel; Brian Winkel; Brian Winkel

doi:10.25334/H1WK-M188

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3-016-FallingCoffeeFilters-ModelingScenario

Author(s): Brian Winkel

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

Keywords: resistance Free Body Diagram coffee filter force graviity falling object

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Abstract

We are given data on the time and position of a stack of coffee filters as it falls to the ground. We attempt to model the falling mass and we confront the different resistance terms and models.

Citation

Researchers should cite this work as follows:

Winkel, B. (2022). 3-016-FallingCoffeeFilters-ModelingScenario. SIMIODE, QUBES Educational Resources. doi:10.25334/H1WK-M188
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Article Context

Resource Type

Modeling Scenario

Differential Equation Type

Technique

Initial Value Problems

Qualitative Analysis

Parameters

Application Area

Course

Course Level

Skills

Key Scientific Process Skills

Assessment Type

Written assignment: Report

Pedagogical Approaches

Guided inquiry/investigation

Vision and Change Core Competencies - Ability

Principles of How People Learn

Bloom's Cognitive Level

Application & Analysis

Description

We are given data on time and position of a free falling stack of coffee filters. The data offered is from an experiment to model a falling stack of 12 commercial coffee filters. Each coffee filter has mass 0.01908 kg for total stack mass m = 12*0.01908 = 0.22896 kg.

The data was collected with a Vernier Software & Technology Motion Detector on 20 February 2010 at the United States Air Force Academy CO where the acceleration due to gravity is g = 9.78976 m/s².

Article Files

1-31-SetUp.png(PNG | 7 MB)
3-016-Mma-T-FallingCoffeeFilters-TeacherVersion-ANON.nb (Instructors only)(NB | 24 MB)
3-016-Mma-T-FallingCoffeeFilters-TeacherVersion-ANON.pdf (Instructors only)(PDF | 10 MB)
3-016-Mma-T-FallingCoffeeFilters-TeacherVersion.nb (Instructors only)(NB | 11 MB)
3-016-Mma-T-FallingCoffeeFilters-TeacherVersion.pdf (Instructors only)(PDF | 8 MB)
3-016-S-FallingCoffeeFilters-StudenVersion.pdf(PDF | 988 KB)
3-016-S-FallingCoffeeFilters-StudenVersion.tex(TEX | 13 KB)
3-016-T-Comments-FallingCoffeeFilters-Analysis-12-Filters.nb (Instructors only)(NB | 13 MB)
3-016-T-Comments-FallingCoffeeFilters-Analysis-12-Filters.pdf (Instructors only)(PDF | 2 MB)
3-016-T-FallingCoffeeFilters-Analysis-12-Filters.nb (Instructors only)(NB | 13 MB)
3-016-T-FallingCoffeeFilters-Analysis-12-Filters.pdf (Instructors only)(PDF | 2 MB)
3-016-T-FallingCoffeeFilters-TeacherVersion.pdf (Instructors only)(PDF | 1009 KB)
3-016-T-FallingCoffeeFilters-TeacherVersion.tex(TEX | 13 KB)
3-16-DataPlot.eps(EPS | 143 KB)
3-16-GradientResultPlot.eps(EPS | 148 KB)
3-16-VernierAndFilters.eps(EPS | 706 KB)
3-16-VernierAndFilters.JPG(JPG | 1 MB)
3-16-VernierAndFilters.ptp(PTP | 150 B )
CoffeeFilterPic.jpg(JPG | 467 KB)
SIMIODE.cls(CLS | 5 KB)
SimiodeLogo.jpg(JPG | 271 KB)
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