Search
  1. 3-006-Buoyancy-ModelingScenario

    3-006-Buoyancy-ModelingScenario

    2022-05-22 12:53:12 | Teaching Materials | Contributor(s): Brian Winkel | doi:10.25334/AB4Y-VT18

    We offer data from a physical experiment in which the depth of a container in water is measured and ask students to build a model of buoyancy based on Newton's Second Law of Motion and a Free Body Diagram. We ask students to estimate the parameters.

  2. 3-009-BallDropInWater-ModelingScenario

    3-009-BallDropInWater-ModelingScenario

    2022-05-21 16:32:35 | Teaching Materials | Contributor(s): Brian Winkel | doi:10.25334/AD5J-Y412

    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.

  3. 3-010-EnergyInSpringMassSystem-ModlingScenario

    3-010-EnergyInSpringMassSystem-ModlingScenario

    2022-05-21 16:33:28 | Teaching Materials | Contributor(s): Eric Sullivan | doi:10.25334/SVAX-FA51

    As a way to synthesize the effects of damping and forcing terms, this activity is meant to encourage students to explore how different forcing terms will change the total energy in a mass-spring system.

  4. 3-011-EulerBallThrowing-ModelingScenario

    3-011-EulerBallThrowing-ModelingScenario

    2022-05-21 16:34:16 | Teaching Materials | Contributor(s): Chris McCarthy | doi:10.25334/A71Y-BG39

    If a tennis ball is thrown through the air it will hit the ground due to gravity. Using Euler's method, write a short script (Python, Matlab, R, etc.) to find the trajectory of the ball which will maximize the distance the ball lands from the thrower.

  5. 3-013-WhiffleBallFall-ModelingScenario

    3-013-WhiffleBallFall-ModelingScenario

    2022-05-21 16:35:32 | Teaching Materials | Contributor(s): Brian Winkel | doi:10.25334/NCPG-HQ07

    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.

  6. 3-015-StyrofoamBallFall-ModelingScenario

    3-015-StyrofoamBallFall-ModelingScenario

    2022-05-21 16:36:27 | Teaching Materials | Contributor(s): Brian Winkel | doi:10.25334/Q4HP-SC29

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

  7. 3-016-FallingCoffeeFilters-ModelingScenario

    3-016-FallingCoffeeFilters-ModelingScenario

    2022-05-21 05:10:10 | Teaching Materials | Contributor(s): Brian Winkel | doi:10.25334/H1WK-M188

    We are given data on the time and position of a stack of coffee filters as it falls to the ground. We attempt to model the falling mass and we confront the different resistance terms and models.

  8. 3-017-StackedCoffeeFiltersFalling-ModelingScenario

    3-017-StackedCoffeeFiltersFalling-ModelingScenario

    2022-05-21 03:54:29 | Teaching Materials | Contributor(s): Brian Winkel | doi:10.25334/SQ6S-J782

    Data on free falling 2, 4, 6, and 8 stacked coffee filters is offered. Students form a model using a resistance term proportional to velocity, velocity squared, or velocity to some general power. Parameters need to be estimated and models compared.

  9. 3-019-ShuttleCockFalling-ModelingScenario

    3-019-ShuttleCockFalling-ModelingScenario

    2022-05-21 03:55:19 | Teaching Materials | Contributor(s): Brian Winkel | doi:10.25334/JD09-M668

    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.

  10. 3-026-SpringInverseProblem-ModelingScenario

    3-026-SpringInverseProblem-ModelingScenario

    2022-05-21 03:56:03 | Teaching Materials | Contributor(s): Brian Winkel | doi:10.25334/3XFZ-RZ66

    We are given data on the position of a mass in an oscillating spring mass system and we seek to discover approaches to estimating an unknown parameter.

  11. 3-027-BobbingDropping-ModelingScenario

    3-027-BobbingDropping-ModelingScenario

    2022-05-21 03:57:03 | Teaching Materials | Contributor(s): Brian Winkel | doi:10.25334/EZGZ-5T49

    We present two exercises 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.

  12. 3-029-FerrisWheelCatch-ModelingScenario

    3-029-FerrisWheelCatch-ModelingScenario

    2022-05-21 03:57:47 | Teaching Materials | Contributor(s): Brian Winkel | doi:10.25334/EQV9-YA59

    We offer the opportunity to model the throw of an object to a person on a moving Ferris wheel.

  13. 3-030-SecondOrderIntro-ModelingScenario

    3-030-SecondOrderIntro-ModelingScenario

    2022-05-21 03:58:33 | Teaching Materials | Contributor(s): Brian Winkel | doi:10.25334/Y8S9-C814

    We outline the solution strategies involved in solving second-order, linear, constant coefficient ordinary differential equations, both homogeneous and nonhomogeneous and offer many application and modeling activities.

  14. 3-031-SpringCost-ModelingScenario

    3-031-SpringCost-ModelingScenario

    2022-05-20 22:13:00 | Teaching Materials | Contributor(s): Brian Winkel | doi:10.25334/N71R-J453

    We assume students are familiar with overdamping and underdamping of a spring-mass-dashpot system. Students will apply this knowledge to model the interplay between spring constant, tolerance, and cost.

  15. 3-035-StadiumDesign-ModelingScenario

    3-035-StadiumDesign-ModelingScenario

    2022-05-20 22:13:51 | Teaching Materials | Contributor(s): Brian Winkel | doi:10.25334/MTN0-RV51

    For a given baseball playing field outline how high must the outfield fence be at each point in order to make a homerun equally likely in all fair directions?

  16. Machine Learning Meets Medicine with Jenessa Peterson

    Machine Learning Meets Medicine with Jenessa Peterson

    2022-05-20 21:04:11 | Teaching Materials | Contributor(s): Janessa Peterson, Megan Seifert | doi:10.25334/Y907-Y370

    Jenessa Peterson is a former teacher turned data scientist/engineer and Director of Learning Engineering at The Learning Agency. Her more recent work in data science has included building a web-based voter data tracking platform, anomaly detection models for skin lesions and eye disease, and a...

  17. 3-040-FirstPassageTime-ModelingScenario

    3-040-FirstPassageTime-ModelingScenario

    2022-05-20 22:14:45 | Teaching Materials | Contributor(s): Brian Winkel | doi:10.25334/XNS7-ST57

    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 through 0 value with several applications.

  18. Climate Change Module (Project EDDIE) for Introductory Statistics

    Climate Change Module (Project EDDIE) for Introductory Statistics

    2022-05-20 20:25:53 | Teaching Materials | Contributor(s): Jessie Oehrlein | doi:10.25334/KKGD-AP27

    Students practice and deepen their understanding of bivariate numerical data analysis (correlation, linear regression, etc.) through working with data related to climate change. Adapted from a module produced by Project EDDIE.

  19. 3-041-UpDown-ModelingScenario

    3-041-UpDown-ModelingScenario

    2022-05-20 22:15:41 | Teaching Materials | Contributor(s): Brian Winkel | doi:10.25334/8XY8-C736

    Shoot a projectile straight up in the air. Determine maximum height the projectile will go. Consider time T(a) (0 < a < 1) it takes between when the projectile passes distance a.H going up and then coming down. Develop T(a) as a function of a.

  20. 3-042-CatapultLaunch-ModelingScenario

    3-042-CatapultLaunch-ModelingScenario

    2022-05-20 17:27:20 | Teaching Materials | Contributor(s): Brian Winkel | doi:10.25334/JRPS-5H67

    We maximize the range of a projectile by backing up an incline in the opposite direction of the range to give some initial lift. Find the position on the hill from which to launch the projectile to give the best lift.