Tags: resistance

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  1. 3-027-S-BobbingDropping

    10 Jul 2020 | | Contributor(s):: Brian Winkel

    We present two exercises from a differential equations text in which we ask students to model (1) falling object experiencing terminal velocity and (2) bobbing block of wood in liquid. We model the motion using Newton's Second Law of Motion and Archimedes' Principle.

  2. 1-128-S-RocketFlight

    04 Jun 2020 | | Contributor(s):: Brian Winkel

    We offer an opportunity to build a mathematical model using Newton's Second Law of Motion and a Free Body Diagram to analyze the forces acting on the rocket of changing mass in its upward flight under power and then without power followed by its fall to earth.

  3. 2020-Beeken, Paul - First Order Differential Equations - 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...

  4. 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.

  5. 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.

  6. 2004-Phoebus, Ronald and Cole Reilly - Differential Equations and the Parachute Problem.

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

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

  7. 2018-Schneebeli,Hans R. - Modeling Falling Bodies

    01 Mar 2018 | | Contributor(s):: Hans Rudolf Schneebeli

    Modelling falling bodies is discussed using a computer algebra system-calculator and introducing various traditional and elementary methods from calculus as well as  numerics for dealing with the resulting ordinary differential equations.This article is in German under the title,...

  8. 2006-Loyd, Alun L. and Dominik Wodarz - Drug Resistance in Acute Viral Infections:  Rhinovirus as a Case Study.

    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.See http://www4.ncsu.edu/~allloyd/pdf_files/resistance_preprint.pdf . Accessed 18 September 2017.Abstract:  The emergence and spread...

  9. 1994-Minton, Roland - A 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.See https://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/a-progression-of-projectiles-examples-from-sports .There is a progression...

  10. 2017-Unknown - 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...

  11. 2017-Groetsch, C. W. - Hammer and Feather:  Some Calculus of Mass and Fall Time

    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.See https://www.tandfonline.com/doi/abs/10.4169/math.mag.90.1.3 .The paper opens this way,“Does a heavy object fall faster than a lighter one? In 1971 NASA...

  12. 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.

  13. 1999-Brauer, F. - What Goes Up Must Come Down

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

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

  14. 1980-Peastrel, M., R. Lynch, and A. Armenti, Jr. - Terminal velocity of a shuttlecock in vertical fall

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

    Peastrel, M., R. 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 and...

  15. 1994-Gruszka, T. - 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...

  16. 3-065-S-UpDown

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

  17. 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 -...

  18. 1999-Brauer, F. - What Goes Up Must Come Down

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

    Brauer, F. 1999.  What Goes Up Must Come Down.  American Mathematical Monthly. 108(5):  437-440.See https://www.tandfonline.com/doi/abs/10.1080/00029890.2001.11919770 .This paper is a wonderfully general analysis of the following, “It is natural to ask whether a...

  19. 1999-Meade, Douglas B. and Allan A. Struthers - Differential Equations in the New Millennium:  The 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.See https://www.ijee.ie/articles/Vol15-6/ijee1097.pdf .Article Abstract: Introductory...

  20. 1994-Gruszka, T. - A Balloon Experiment in the Classroom

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

    Gruszka, T. 1994. A Balloon Experiment in the Classroom. The College Mathematics Journal. 25(5): 442-444.See https://www.tandfonline.com/doi/abs/10.1080/07468342.1994.11973649 .We quote from the article,“The following experiment involves a balloon, a stopwatch, and a...