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    1-057-FiguringFluidFlow-ModelingScenario
    We propose three differential equations models for the height of a column of falling water as the water exits a small bore hole at the bottom of the cylinder and ask students to determine which...

    Keywords: dischargetankTorricelli's LawConservation of Energyfluid flowheightliquid

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    1-015-Torricelli-ModelingScenario
    We help students develop a model (Torricelli's Law) for the height of a falling column of water with a small hole in the container at the bottom of the column of water through which water exits the...

    Keywords: dataSpanishtankcolumn of waterapertureTorricelli's LawConservation of EnergytSolverwater flowExcel Solver

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    1999-Leonid_Hanin-Which tank empties first
    Suppose that water towers like those shown in the opening are initially filled with water and have the same volume, height, and cross-sectional outlet area. Which one empties first?

    Keywords: tankTorricelli's Lawspherical tankemptyfrustrum of conecylinder

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    Effects of Airport Runoff Pollution on Water Quality in Bay Area Sites Surrounding San Francisco and Oakland Airports
    Airports contribute to pollution through point source and non point source pollution, which can have a negative effect on water quality and aquatic life. The purpose of the study was...

    Keywords: water quality

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    1-058-WaterClocks-ModelingScenario
    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...

    Keywords: flowTorricelli's Lawspigotswater clock

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    1-063-ThreeHoleColumnOfWater-ModelingScenario
    We consider a column of water with three holes or spigots through which water can exit and ask students to model the height of the column of water over time.

    Keywords: fallingcolumn of waterTorricelli's Lawmultiple spigotsspigots

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    Water Quality Module (Project EDDIE)
    Students utilize real-time nitrate data from the US Geological Survey to statistically evaluate water quality impacts and to identify their causes

    Keywords: dataconcentrationProject EDDIEnnitrogen cycle

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    A CURE for Salmonella: A Laboratory Course in Pathogen Microbiology and Genomics
    Rapid advances in genomics and bioinformatics, the vast amount of data generated by next-generation sequencing, and the penetration of the ‘-omics’ into many areas of biology have created a need...

    Keywords: epidemiologyresearchbioinformaticsgenomicspublic healthAntibiotic Resistant BacteriaSalmonellaDNA sequencingpathogenic bacteria

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    2020-TeachingModule-ModelingFallingColumnOfWater
    We discuss how to model a falling column of water empirically and analytically from first principles in physics laws.

    Keywords: modulecolumn of waterTorricelli's LawTorricelliTeaching Module

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    Investigating human impacts on stream ecology: locally and nationally
    TIEE Module- How does nutrient pollution impact stream ecosystems locally and nationally? This is an adaptation of the module that includes statistical testing and links sections to a lab report...
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    Investigating Human Impacts on Hawaiian Fishpond Ecology
    Examining water quality (including fertilizer residue, nutrients, soil erosion, and invasive plants) on a Hawaiian fishpond ecosystem.

    Keywords: sustainabilityecologywater quality and resource allocationocean sustainabilityinvasive plantsfisheries science

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    Interactions between Water, Earth’s Surface, and Human Activity
    This two-week (~10-hour) module focuses on water and its importance to humans, both as a limited resource and in shaping Earth's surface.

    Keywords: earth scienceenvironmental sciencegeosciencewater resourcesResources @ InTeGrate

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    2017-Ole_Witt-Hansen-Examples Of Differential Equations In Physics
    This is an article from the author’s homepage. The work contains fundamental and basic background and derivation of the differential equation models for a number of phenomena.

    Keywords: projectileair resistancefree falldragharmonic oscillation

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    2014-Groetsch-Yost-Vertical Projection in a Resisting Medium - Revelations on Observations of Mersenne
    This article, inspired by a 17th-century woodcut, validates empirical observations of Marin Mersenne (1588–1648) on timing of vertically-launched projectiles for a general mathematical model of...

    Keywords: resistanceprojectile

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    1-145-FastPitch-ModelingScenario
    We consider the problem of comparing pitch velocities using measurement methods in different eras of baseball.

    Keywords: Measurementresistanceair resistancebaseballpitcherfast

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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...

    Keywords: MeasurementcircuitvoltagecurrentvalidationSPICERL circuitMultilsim

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    3-015-StyrofoamBallFall-ModelingScenario
    We are given data on a falling Styrofoam ball and we seek to model this motion.

    Keywords: footballresistancegravityfalling bodysum of square errorsNewton's Second Law of Motionsum of forcesstyrofoam

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    3-017-StackedCoffeeFiltersFalling-ModelingScenario
    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....

    Keywords: dataresistancefalling bodycoffee filterstacked

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    Access to Public Parks, Drinking Fountains, and Clean Public Drinking Water Across Income Brackets in the Bay Area
    Access to green space and clean drinking water can be unequally distributed in urban spaces, often associated with income inequality. Little is known about public drinking water and green space...

    Keywords: clean drinking water

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    1-059-ContainerShapeFallingWater-ModelingScenario
    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...

    Keywords: containersTorricelli's Lawshapedischarge coefficient

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