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Modeling Scenarios feed

  1. 3-040-S-FirstPassageTime

    07 Apr 2017 | Modeling Scenarios | Contributor(s):: Brian Winkel

    We apply the notions of dampedness to second order, linear, constant coefficient, homogeneous differential equations used to model a spring mass dashpot system and introduce the notion of first passage time with several applications.

  2. 3-002-S-ModelsMotivatingSecondOrder

    30 Mar 2017 | Modeling Scenarios | Contributor(s):: Brian Winkel

    We introduce several basic, but substantial, approaches to modeling the motion of a spring mass system using a standard second order, linear, constant coefficient differential equation obtained from Newton's Second Law of Motion and a Free Body Diagram. We do this using a set of data...

  3. 1-122-S-SpreadPEV

    28 Mar 2017 | Modeling Scenarios | Contributor(s):: Brian Winkel

    We present data on world sales data of plug-in electric vehicles (PEVs) and request a model on the rate of change in sales over time, leading to predection as to number of PEVs in the future.

  4. 3-004-S-VanderPol

    21 Mar 2017 | Modeling Scenarios | Contributor(s):: Mark A. Lau Kwan

    This paper presents an electronic spreadsheet model of the Van der Pol oscillator, a well-known nonlinear second-order ordinary differential equation. The spreadsheet features a number of dynamic controls that permit the user to alter the parameters of the Van der Pol equation and explore the...

  5. 1-014-S-DrainingContainers

    17 Mar 2017 | Modeling Scenarios | Contributor(s):: Brian Winkel

    We examine the question, ``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?''

  6. 3-017-S-StackedCoffeeFiltersFalling

    11 Mar 2017 | Modeling Scenarios | Contributor(s):: Brian Winkel

    Data on free falling 2, 4, 6, and 8 stacked coffee filters is offered for analysis. Students first form a model using resistance terms. Parameters need to be estimated and models compared.

  7. 3-110-S-MilitarySpringMassApplication

    25 Feb 2017 | Modeling Scenarios | Contributor(s):: Randy Boucher, Ivan Dungan

    The project is a collection of five different scenarios regarding the shock system of a trailer; the first three are chronological and the latter two are optional independent scenarios. In the first two scenarios, students must compare three different shock absorbers (or shocks) for the trailer....

  8. 1-037-S-CommonColdSpread

    30 Nov 2016 | Modeling Scenarios | Contributor(s):: Richard Corban Harwood

    This modeling scenario guides students to simulate and investigate the spread of the common cold in a residence hall. An example floor plan is given, but the reader is encouraged to use a more relevant example. In groups, students run repeated simulations, collect data, derive a differential...

  9. 1-052-S-SaltWaterTanks

    27 Nov 2016 | Modeling Scenarios | Contributor(s):: Brian Winkel

    We offer three mixing problems, of increasing order of difficulty, in which salt is coming into a tank of water and upon instantaneous mixing is leaving the tank.

  10. 1-058-S-WaterClocks

    26 Nov 2016 | Modeling Scenarios | Contributor(s):: Sania Qureshi, Brian Winkel

    We apply Torricelli's Law to the task of building a water clock in which the height of the water in a container falls at a constant rate when the container has a hole in the bottom to let the water flow out. First, we review the principles and derivation of the applicable physics in...

  11. 1-140-S-LeakyBucket

    25 Nov 2016 | Modeling Scenarios | Contributor(s):: Brian Winkel

    We seek to model the height of water in a cylindrical tank (bucket) in which water flows out the bottom of the tank through a small bore hole while we are pouring water into the tank at the top of the tank at a constant (or varying) rate.

  12. 6-040-S-StruggleForExistence

    23 Nov 2016 | Modeling Scenarios | Contributor(s):: Brian Winkel

    We use historical data from the 1930's in the Soviet Union and model competition between two species of yeast after modeling each species separately and estimate parameters.

  13. 9-120-S-HorizontalBeam

    22 Nov 2016 | Modeling Scenarios | Contributor(s):: Tiernan Fogerty, Gregg Waterman

  14. 1-059-S-ContainerShapeFallingWater

    22 Nov 2016 | Modeling Scenarios | Contributor(s):: Brian Winkel

    We examine many different physical situations to determine the time it takes a fixed volume of water to flow out of different shape containers through the same size exit hole at the bottom of the container.

  15. 1-090-S-EmptySphericalTank

    12 Nov 2016 | Modeling Scenarios | Contributor(s):: Brian Winkel

  16. 7-010-S-MultipleDoses

    12 Oct 2016 | Modeling Scenarios | Contributor(s):: Brian Winkel

  17. 3-065-S-UpDown

    05 Oct 2016 | Modeling Scenarios | Contributor(s):: Brian Winkel

  18. 1-061-S-PotatoCooling

    05 Oct 2016 | Modeling Scenarios | Contributor(s):: Brian Winkel

  19. 1-110-S-SnailsInaTidePool

    04 Oct 2016 | Modeling Scenarios | Contributor(s):: Lisa Driskell, Audrey Malagon

  20. 1-120-S-CircularRollerCoaster

    27 Sep 2016 | Modeling Scenarios | Contributor(s):: Kevin S Huang