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1-074-BottleWaterFlow-ModelingScenario

Author(s): Brian Winkel

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

Keywords: b water Torricelli's Law bottle

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Abstract

Resource Image We offer an experiment in which data is collected to ascertain a parameter in the differential equation formulation of Torricelli's Law for water flow.

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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

Many years ago there was a piece in The Journal of Irreproducible Results which came out of a lab where an ``infinite number of monkeys'' were typing and one of them produced a book review about an absolutely wonderful book.

The only problem was that the book had not been written yet! So in the style of {the journal  a call for the author was put out to write the book. Well I thought it was funny!

In my 50 plus years of teaching I have acquired a great many articles and in looking through my files recently I came upon a three page typewritten document with the title, ``MATH 360 Project #1 -- Torricelli's Law for Water Flow.'' So we publish it here for you to learn differential equations using a model and your own data. We reproduce the project exactly as it was offered and we hope in the spirit of the journal that the true author will emerge.

Project #1 -- Torricelli's Law for Water Flow

You are to perform an experiment and then formulate a model to explain the data. In deriving the model, you will be using a formula which has an unknown (to you) constant coefficient. One of the goals of the project is to use your computed mathematical model, and your experimental data, to find an estimate for this constant.

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Authors

Author(s): Brian Winkel

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

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