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    Modeling Scenario
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    1-128-RocketFlight-ModelingScenario
    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...
    resistance Flight Rocketry mass Newton's Second Law of Motion thrust Free Body Diagram apex rocket
    Modeling Scenario
    462

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    3-061-ChemEngApps-ModelingScenario
    Students go through a chemical engineering problem: calculate concentration profile of cyclohexane within a catalyst pellet by solving a second order linear differential equation; then analyze the concentration as the radius of the catalyst...
    Spanish porous medium catalyisis cyclohexene hydrogel dehydrogenation hyperbolic trig functions
    Modeling Scenario
    135

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    38

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    3-104-BungeeJumping-ModelingScenario
    In this project, students design a bungee jumping cord (cross-sectional area and length) that will keep jumpers safe. Students communicate their recommendations as a letter to a client interested in starting a bungee jumping business.
    design falling mass spring\ bungee elesticity recommendation consult
    Modeling Scenario
    107

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    38

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    7-011-CoupledSystemLaplace-ModelingScenario
    Differential equations and Laplace transforms are an integral part of control problems in engineering systems. We consider a baby warming device.
    transfer function polycarbonate baby heater coupled system heating
    Modeling Scenario
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    3-034-CarSuspension-ModelingScenario
    We examine the spring-mass-dashpot that is part of a car suspension, how the ride is related to parameter values, and the effect of changing the angle of installation. We model a ``quarter car'', meaning a single wheel.
    design spring-mass-dashpot spring constant underdamping car suspension suspension tolerance static equilibrium
    Modeling Scenario
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    31

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    1-025-MixingItUp-ModelingScenario
    Students build three different models for levels of salt in a tank of water and at each stage the level of complexity increases with attention to nuances necessary for success.
    compartment salt tank mixing
    Modeling Scenario
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    29

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    1-013-SleuthingWithDifferentialEquations-ModelingScenario
    We present several situations in which differential equation models serve to aid in sleuthing and general investigations.
    projectile motion acceleration Newton's Law of Cooling speeding
    Modeling Scenario
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    19

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    1-005C-OilSlick-ModelingScenario
    We describe a modeling activity for Calculus I students in which modeling with difference and differential equations is appropriate.
    Problem Solving oil slick spread fitting line assumptions
    Modeling Scenario
    104

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    39

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    1-042-KoolAid-ModelingScenario
    Students run experiments involving concentrated solution of drink powder flowing from upper to lower tank, initially filled with plain water. They make qualitative observations about the intensity of the color in the tanks, record data, and build...
    concentration compartment tanks KoolAid
    Modeling Scenario
    85

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    35

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    1-043-CoolingUpAndDown-ModelingScenario
    We consider modeling the attempt of an air conditioner to cool a room to a ``constant'' temperature.
    temperature oscillation Newton's Law of Cooling cooling thermostat air conditioner
    Modeling Scenario
    67

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    24

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    1-050-BargingAhead-ModelingScenario
    As captain of a barge, you need to determine how fast to transport your barge up river against the current in order to minimize the expended energy.
    optimization kinetics energy trophic efficiency work river terminal velocity friction current force barge worlk speed
    Modeling Scenario
    66

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    25

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    1-077-RLMSimSeriesCircuit-ModelingScenario
    In this validation setup, the first order linear ordinary differential equation governing a small signal RL series AC circuit is solved analytically and the results are compared with the data acquired from analyzing the numerical model (using...
    Measurement circuit voltage current validation SPICE RL circuit Multilsim
    Modeling Scenario
    63

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    27

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    1-079-HomeHeating-ModelingScenario
    This project concerns using Newton's Law of Cooling to model the heating of a house. In particular, if one is going away for awhile, is it more economical to leave a house at a desired temperature or reheat it upon return?
    Optimal Control Theory temperature heat furnace Newton's Law of Cooling home heating specific heat
    Modeling Scenario
    110

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    38

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    1-096-OP-AMP-Differentiator-ModelingScenario
    The output waveform (function) of a operational amplifier type of differentiator circuit is determined analytically from the first order governing ordinary differential equation and compared with the data acquired from numerical model (using...
    simulation Measurement feedback Multisim circuit voltage operational amplifier validation SPICE
    Modeling Scenario
    57

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    19

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    1-100-EngineeringDemographics-ModelingScenario
    Students show how models can be used to examine social issues. The students examine three different models and use numerical methods to apply each model to demographic data for the percentage of engineering degrees awarded to women in the United...
    logistic population Improved Euler Method Gompertz demographics women autonomous