Abstract

Given two rectangular circular cylinders of water with the same volume, but different radii, with a small bore hole of same radius on the center of the bottom through which water exits the cylinder, which empties faster?

Citation

Researchers should cite this work as follows:

• Winkel, B. (2022). 1-014-DrainingContainers. SIMIODE, QUBES Educational Resources. doi:10.25334/H732-Q905

  BibTex | EndNote

Article Context

Resource Type

• Modeling Scenario

Differential Equation Type

• ODE
• First
• Linear
• Nonlinear
• Homogeneous

Technique

• Initial Value Problems
• Parameter Estimation

Qualitative Analysis

• Graphical analysis
• Parameters

Application Area

• Modeling (general)
• Physics

Course

• Calculus 2
• Differential Equations
• Modeling

Course Level

• Introductory
• Upper Level
• High School

Lesson Length

• Portion of one class period

Technology

• Mathematica

Approach

• Guided

Skills

• Other

Key Scientific Process Skills

• Asking a question
• Formulating hypotheses

Assessment Type

• Homework
• Written assignment: Report

Pedagogical Approaches

• Guided inquiry/investigation

Vision and Change Core Competencies - Ability

• Create and develop models
• Use quantitative reasoning

Principles of How People Learn

• Motivates student to learn material
• Focuses student on the material to be learned

Bloom's Cognitive Level

• Application & Analysis

Description

We apply Torricelli's Law and see where it leads us!

Article Files

• 1-014-S-DrainingContainers-StudentVersion.pdf(PDF | 377 KB)
• 1-014-S-DrainingContainers-StudentVersion.tex(TEX | 7 KB)
• 1-014-T-DrainingContainers-TeacherVersion.pdf (Instructors only)(PDF | 395 KB)
• 1-014-T-DrainingContainers-TeacherVersion.tex (Instructors only)(TEX | 7 KB)
• 1-014-T-Mma-DrainingContainers-TeacherVersion.nb (Instructors only)(NB | 63 KB)
• 1-014-T-Mma-DrainingContainers-TeacherVersion.pdf (Instructors only)(PDF | 139 KB)
• DrainPic.jpg(JPG | 5 KB)
• SIMIODE.cls(CLS | 7 KB)
• SimiodeLogo.jpg(JPG | 271 KB)
• License terms

Authors

Author(s): Brian Winkel

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

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