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1-055-WaterFallingInCone-ModelingScenario

Author(s): Brian Winkel

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

Keywords: Torricelli's Law discharge coefficient cone contraction coefficient

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Abstract

Resource Image We offer an opportunity to model the height of a falling body of water in a right circular cone (funnel) and to estimate an appropriate parameter based on data collected from a video of the experiment found on YouTube.

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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

Description

We have an inverted (point down) right circular conical tank (top of funnel) with a top radius R centimeters and a total height of H centimeters, filled with water to a height of h centimeters. There is a circular hole of radius rC centimeters at the very bottom of the cone from where water leaks. We show the apparatus used in the video from which we collected data

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Authors

Author(s): Brian Winkel

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

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