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Modeling Scenario

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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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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