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Transcript of Fundamental Concepts: Units - Onsite Consor Fundamental Concepts: Units - Power Point Presentation.

  • Fundamental Concepts: Fundamental Concepts: UnitsUnits

    Ann KenimerAnn Kenimer Texas A & M UniversityTexas A & M University

    University Curriculum Development University Curriculum Development for Decentralized Wastewater for Decentralized Wastewater

    ManagementManagement

  • NDWRCDP DisclaimerNDWRCDP Disclaimer This work was supported by the National Decentralized Water This work was supported by the National Decentralized Water Resources Capacity Development Project (NDWRCDP) with Resources Capacity Development Project (NDWRCDP) with

    funding provided by the U.S. Environmental Protection Agency funding provided by the U.S. Environmental Protection Agency through a Cooperative Agreement (EPA No. CR827881through a Cooperative Agreement (EPA No. CR827881--0101--0) 0) with Washington University in St. Louis. These materials have with Washington University in St. Louis. These materials have

    not been reviewed by the U.S. Environmental Protection not been reviewed by the U.S. Environmental Protection Agency. These materials have been reviewed by Agency. These materials have been reviewed by representatives of the NDWRCDP. The contents representatives of the NDWRCDP. The contents

    of these materials do not necessarily reflect the views and of these materials do not necessarily reflect the views and policies of the NDWRCDP, Washington University, or the U.S. policies of the NDWRCDP, Washington University, or the U.S.

    Environmental Protection Agency, nor does the mention of trade Environmental Protection Agency, nor does the mention of trade names or commercial products constitute their endorsement or names or commercial products constitute their endorsement or

    recommendation for use.recommendation for use.

  • CIDWT/University DisclaimerCIDWT/University Disclaimer These materials are the collective effort of individuals from These materials are the collective effort of individuals from

    academic, regulatory, and private sectors of the academic, regulatory, and private sectors of the onsite/decentralized wastewater industry. These materials have onsite/decentralized wastewater industry. These materials have

    been peerbeen peer--reviewed and represent the current state of reviewed and represent the current state of knowledge/science in this field. They were developed through a knowledge/science in this field. They were developed through a series of writing and review meetings with the goal of formulatiseries of writing and review meetings with the goal of formulating ng a consensus on the materials presented. These materials do not a consensus on the materials presented. These materials do not

    necessarily reflect the views and policies of University of necessarily reflect the views and policies of University of Arkansas, and/or the Consortium of Institutes for Decentralized Arkansas, and/or the Consortium of Institutes for Decentralized

    Wastewater Treatment (CIDWT). The mention of trade names or Wastewater Treatment (CIDWT). The mention of trade names or commercial products does not constitute an endorsement or commercial products does not constitute an endorsement or

    recommendation for use from these individuals or entities, nor recommendation for use from these individuals or entities, nor does it constitute criticism for similar ones not mentioned.does it constitute criticism for similar ones not mentioned.

  • CitationCitation

    Kenimer, Ann L., J. Kenimer, Ann L., J. VilleneuveVilleneuve and S. and S. SheldenShelden. . 2005. Fundamental Concepts: Units 2005. Fundamental Concepts: Units -- Power Power Point Presentation. Point Presentation. inin (M.A. Gross and N.E. (M.A. Gross and N.E. Deal, eds.) University Curriculum Development Deal, eds.) University Curriculum Development for Decentralized Wastewater Management. for Decentralized Wastewater Management. National Decentralized Water Resources National Decentralized Water Resources Capacity Development Project. University of Capacity Development Project. University of Arkansas, Fayetteville, AR.Arkansas, Fayetteville, AR.

  • Systems of UnitsSystems of Units

    International System of Units (SI)International System of Units (SI) Metric SystemMetric System

    U.S. Customary System of Units (USCS)U.S. Customary System of Units (USCS) “English” Units“English” Units

  • SI UnitsSI Units

    Base UnitsBase Units

    DimensionDimension UnitUnit AbbreviationAbbreviation

    LengthLength metermeter mm

    MassMass kilogramkilogram kgkg

    TemperatureTemperature KelvinKelvin KK

    TimeTime secondsecond ss

  • SI UnitsSI Units

    Derived UnitsDerived Units

    DimensionDimension UnitUnit Abbrev.Abbrev.

    AreaArea length squaredlength squared mm22

    VolumeVolume length cubed, Literslength cubed, Liters mm33, L, L

    SpeedSpeed length per timelength per time m/sm/s

    AccelerationAcceleration length per time squaredlength per time squared m/sm/s22

    DensityDensity mass per volumemass per volume kg/mkg/m33

  • SI UnitsSI Units

    More derived unitsMore derived units

    DimensionDimension Derived UnitsDerived Units Special UnitSpecial Unit AbbreviationAbbreviation

    ForceForce mm··kg/skg/s22 NewtonNewton NN

    PressurePressure N/m2N/m2 PascalPascal PaPa

    EnergyEnergy NN··mm JouleJoule JJ

    PowerPower J/sJ/s WattWatt WW

  • SI Unit MultipliersSI Unit Multipliers MultiplierMultiplierPrefixPrefix

    1010--33milli (m)milli (m)

    1010--22centi (c)centi (c)

    1010--11deci (d)deci (d)

    101011deka (da)deka (da)

    101022hecto (h)hecto (h)

    101033kilo (k)kilo (k)

  • USCS UnitsUSCS Units

    Base UnitsBase Units

    DimensionDimension UnitUnit AbbreviationAbbreviation

    LengthLength foot or inchfoot or inch ft or inft or in

    MassMass slugslug slugslug

    TemperatureTemperature RankinRankin RR

    Time Time secondsecond ss

  • USCS UnitsUSCS Units Derived UnitsDerived Units

    DimensionDimension UnitsUnits AbbreviationAbbreviation AreaArea length squaredlength squared ftft22

    VolumeVolume length cubed, gallonslength cubed, gallons ftft33, gal, gal SpeedSpeed Length per timeLength per time ft/sft/s AccelerationAcceleration length per time squaredlength per time squared ft/sft/s22

    DensityDensity mass per volumemass per volume slug/ftslug/ft33

    EnergyEnergy force times distanceforce times distance ftft--lblb PressurePressure Force per areaForce per area lb/ftlb/ft22 or psfor psf ForceForce slugslug··ft/sft/s22 or poundor pound lblb

  • Converting UnitsConverting Units

    Example: Example:

    How many feet are in one meter if 1 meter How many feet are in one meter if 1 meter = 3.28 feet?= 3.28 feet?

    ftmftm 28.3/28.3*1 =

  • Dimensional HomogeneityDimensional Homogeneity

    equations and all input variables should equations and all input variables should have consistent unitshave consistent units

    same units on both sides of the equationsame units on both sides of the equation

    Fundamental Concepts: Units NDWRCDP DisclaimerThis work was supported by the National Decentralized Water Resources Capacity Development Project (NDWRCDP CIDWT/University Disclaimer Citation Systems of Units SI Units SI Units SI Units SI Unit Multipliers USCS Units USCS Units Converting Units Dimensional Homogeneity