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3-017-StackedCoffeeFiltersFalling-ModelingScenario

Author(s): Brian Winkel

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

Keywords: data resistance falling body coffee filter stacked

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Abstract

Resource Image Data on free falling 2, 4, 6, and 8 stacked coffee filters is offered. Students form a model using a resistance term proportional to velocity, velocity squared, or velocity to some general power. Parameters need to be estimated and models compared.

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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

Data on several sets of stacked coffee filters falling is presented. The stacks contain 2, 4, 6, and 8 coffee filters.

This is part of a larger set of data and videos offered by the Doane College (Crete NB USA), Department of Physics. We enclose the data with additional information in the Excel file 3-017-S-Excel-StackedCoffeeFiltersFalling-StudentVersion.xls.

Using the data for the situations (one at a time) offered in 3-017-S-Excel-StackedCoffeeFiltersFalling-StudentVersion.xls estimate the parameters in your model.

Consider the mass of one coffee filter as m and absorb it into the constant for resistance, but note how many filters for each data set, e.g., in first data set the mass of the stack of coffee filters is 2m while in the second data set the mass of the stacked coffee filters is 4m.

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Authors

Author(s): Brian Winkel

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

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