Tags: resistance

All Categories (1-20 of 25)

  1. 1980-Peastrel-Terminal velocity of a shuttlecock

    20 Jun 2015 | Contributor(s):: M. Peastrel, R. Lynch, A. Armenti, A. Armenti Jr.

    Peastrel, M., R. Lynch Lynch, and A.Armenti, Jr. 1980. Terminal velocity of a shuttlecock in vertical fall. American Journal of Physics. 48(7): 511-513.Article Abstract:  We have performed a straightforward vertical fall experiment for a case where the effects of air resistance are important...

  2. 1994-Gruszka-Modeling falling balloon - experiment and analysis

    20 Jun 2015 | | Contributor(s):: T. Gruszka

    Gruszka, T. 1994. A Balloon Experiment in the Classroom. The College Mathematics Journal. 25(5): 442-444. We quote from the article, “The following experiment involves a balloon, a stopwatch, and a measurement device such as a meter stick. . . .  The goals of the experiment include...

  3. 1994-Minton-Progression of Projectiles - Examples from Sports

    12 Sep 2017 | | Contributor(s):: Brian Winkel

    Minton, Roland. 1994. A Progression of Projectiles - Examples from Sports. The College Mathematics Teacher. 28(5): 436-442.There is a progression of complexity and issues in projectile motion modeling from no rsistance, to resistance proportional to velocity, then to velocity...

  4. 1999-Brauer-What Goes Up Must Come Down

    20 Jun 2015 | | Contributor(s):: F. Brauer

    Article Review and Annotation Brauer, F. 1999.  What Goes Up Must Come Down.  American Mathematical Monthly. 108(5):  437-440. This paper is a wonderfully general analysis of the following, “It is natural to ask whether a particle propelled upwards takes longer to fall to...

  5. 1999-MeadeStruthers-Parachute Problem

    20 Jun 2015 | | Contributor(s):: Douglas B. Meade, Allan A. Struthers

    Meade, Douglas B. and Allan A. Struthers. 1999. Differential Equations in the New Millennium:  The Parachute Problem. International Journal of Engineering Education.  15(6): 417-424. Article Abstract: Introductory courses in differential equations have traditionally consisted of a long...

  6. 2004-PhoebusReily-TheParachuteProblem

    09 Dec 2018 | | Contributor(s):: Brian Winkel

    Phoebus, Ronald and Cole Reilly. 2004, Differential Equations and the Parachute Problem. Presentation 10 May 2004.  https://mse.redwoods.edu/darnold/math55/DEproj/sp04/coleron/presentation.pdf .Abstract: The parachute problem is a classical first semester differential equations problem often...

  7. 2006-LoydWodarz Drug Resistance in Acute Viral Infections

    18 Sep 2017 | | Contributor(s):: Brian Winkel

    Loyd, Alun L. and Dominik Wodarz.  2006. Drug Resistance in Acute Viral Infections:  Rhinovirus as a Case Study.  Preprint. 21 pp. http://www4.ncsu.edu/~allloyd/pdf_files/resistance_preprint.pdf . Accessed 18 September 2017.Abstract:  The emergence and spread of drug resistant...

  8. 2008-Will-Hansen-ExamplesOfODEsInPhysics

    09 Dec 2018 | | Contributor(s):: Brian Winkel

    Witt-Hansen, Ole. 2008. Examples of the Differential equations of Physics. www.olewitthansen.dk. Contents1. The dependence of pressure with altitude.............................................................................. 12. Radioaktive chains of decay...

  9. 2017-Groetsch-HammerANDFeather

    09 Sep 2017 | | Contributor(s):: Brian Winkel

    Groetsch, C. W. 2017. Hammer and Feather:  Some Calculus of Mass and Fall Time. Mathematics Magazine. 90: 3-7.The paper opens this way,“Does a heavy object fall faster than a lighter one? In 1971 NASA astronaut Dave Scott, Commander of the Apollo 15 lunar mission, used a hammer and a...

  10. 3-009-S-BallDropInWater

    16 Dec 2018 | | Contributor(s):: Brian Winkel

    We conduct an analysis of a falling ball in liquid to determine its terminal velocity and to ascertain just what radius ball for a given mass density is necessary to attain a designated terminal velocity.

  11. 3-013-S-WhiffleBallFall

    30 May 2015 | | Contributor(s):: Brian Winkel

    We are given data on the time and position of a whiffle ball as it falls to the ground. We attempt to model the falling ball and we confront the different resistance terms and models. Finally, we introduce a new way of comparing models, the Akaike Information Criterion, and apply it to our models.

  12. 3-015-S-StyrofoamBallFall

    24 Mar 2020 | | Contributor(s):: Brian Winkel

    We are given data on a falling Styrofoam ball and we seek to model this motion.

  13. 3-019-S-ShuttlecockFall

    30 May 2015 | | Contributor(s):: Brian Winkel

    We are given data on the time and position of a shuttlecock as it falls to the ground from a set height. We attempt to model the falling object and we confront the different resistance terms and models. Finally, we introduce a new way of comparing models, the Akaike Information Criterion, and...

  14. 3-065-S-UpDown

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

  15. 3-070-S-FallingInWater

    04 Mar 2016 | | Contributor(s):: Brian Winkel

    This is a study of modeling a falling object in liquid. We provide a video (in two versions - .mov and .mp4) which will enable you to collect data on a falling object in water to compare with your model and to estimate parameters using data you can collect from the video. VIDEO Version 1 -...

  16. 3-075-S-RLCCircuit

    17 May 2017 | | Contributor(s):: Brian Winkel

    We introduce the basics of RLC circuits, defining the terms of inductance, resistance, and capacitance in a circuit in which an induced voltage created a current running through these devices.

  17. Balloon Experiment in the Classroom

    01 Mar 2017 | | Contributor(s):: Brian Winkel

    Gruszka, T. 1994. A Balloon Experiment in the Classroom. The College Mathematics Journal. 25(5): 442-444.We quote from the article,“The following experiment involves a balloon, a stopwatch, and a measurement device such as a meter stick. . . . The goals of the experiment include fostering...

  18. Beeken-FirstOrderDifferentialEquations-AirResistance

    26 Mar 2020 | | Contributor(s):: Brian Winkel

    Beeken-FirstOrderDifferentialEquations-AirResistanceBeeken, Paul. First Order Differential Equations  as applied to Air Resistance. Byram Hills High School.This is a nice and gentle introduction to air resistance modeling.From the Introduction"The problem of air...

  19. Calculus for Engineers II-Sample Problems on mathematical modeling with differential equations

    10 Sep 2017 | | Contributor(s):: Brian Winkel

    Calculus for Engineers II-Sample Problems on mathematical modeling with differential equations. https://www.maths.tcd.ie/~manuela/Sample_1.pdf . Accessed 10 September 2017.Five modeling activities involved with emptying various tanks, projectile motion with resistance, and population growth and...

  20. Math Modeling with Differential Equations - Interesting Tank Problem

    12 Sep 2017 | | Contributor(s):: Brian Winkel

    Math Modeling with Differential Equations - Interesting Tank ProblemMath Modeling with Differential Equations - Interesting Tank Problem . Class Notes on five problems.,Several models are workd out including exponential decay, bullet traveling with resisitance, This material contains a solution...