fundamental concepts: units - onsite...

Fundamental Concepts Fundamental Concepts UnitsUnits

Ann KenimerAnn KenimerTexas A amp M UniversityTexas A amp M University

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

ManagementManagement

NDWRCDP DisclaimerNDWRCDP DisclaimerThis 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 US Environmental Protection Agency funding provided by the US 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 US Environmental Protection not been reviewed by the US 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 US policies of the NDWRCDP Washington University or the US

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 userecommendation for use

CIDWTUniversity DisclaimerCIDWTUniversity DisclaimerThese 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 onsitedecentralized wastewater industry These materials have onsitedecentralized wastewater industry These materials have

been peerbeen peer--reviewed and represent the current state of reviewed and represent the current state of knowledgescience in this field They were developed through a knowledgescience 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 andor the Consortium of Institutes for Decentralized Arkansas andor 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 mentioneddoes 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 (MA Gross and NE (MA Gross and NE 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 ARArkansas Fayetteville AR

Systems of UnitsSystems of Units

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

US Customary System of Units (USCS)US Customary System of Units (USCS)ldquoEnglishrdquo UnitsldquoEnglishrdquo 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 AbbrevAbbrev

AreaArea length squaredlength squared mm22

VolumeVolume length cubed Literslength cubed Liters mm33 L L

SpeedSpeed length per timelength per time msms

AccelerationAcceleration length per time squaredlength per time squared msms22

DensityDensity mass per volumemass per volume kgmkgm33

SI UnitsSI Units

More derived unitsMore derived units

DimensionDimension Derived UnitsDerived Units Special UnitSpecial Unit AbbreviationAbbreviation

ForceForce mmmiddotmiddotkgskgs22 NewtonNewton NN

PressurePressure Nm2Nm2 PascalPascal PaPa

EnergyEnergy NNmm JouleJoule JJ

PowerPower JsJs WattWatt WW

SI Unit MultipliersSI Unit MultipliersMultiplierMultiplierPrefixPrefix

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



LengthLength foot or inchfoot or inch ft or inft or in

MassMass slugslug slugslug

TemperatureTemperature RankinRankin RR

Time Time secondsecond ss

USCS UnitsUSCS UnitsDerived UnitsDerived Units

DimensionDimension UnitsUnits AbbreviationAbbreviationAreaArea length squaredlength squared ftft22

VolumeVolume length cubed gallonslength cubed gallons ftft33 gal galSpeedSpeed Length per timeLength per time ftsftsAccelerationAcceleration length per time squaredlength per time squared ftsfts22

DensityDensity mass per volumemass per volume slugftslugft33

EnergyEnergy force times distanceforce times distance ftft--lblbPressurePressure Force per areaForce per area lbftlbft22 or psfor psfForceForce slugslugmiddotmiddotftsfts22 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 = 328 feet= 328 feet

ftmftm 2832831 =

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

CIDWTUniversity Disclaimer

Citation

Systems of Units

SI Units

SI Units

SI Units

SI Unit Multipliers

USCS Units

USCS Units

Converting Units

Dimensional Homogeneity

NDWRCDP DisclaimerNDWRCDP DisclaimerThis 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 US Environmental Protection Agency funding provided by the US 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 US Environmental Protection not been reviewed by the US 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 US policies of the NDWRCDP Washington University or the US

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 userecommendation for use







CitationCitation





SI UnitsSI Units







SI UnitsSI Units








SI UnitsSI Units



























Example Example


ftmftm 2832831 =







Citation

Systems of Units

SI Units

SI Units

SI Units

SI Unit Multipliers

USCS Units

USCS Units

Converting Units








CitationCitation





SI UnitsSI Units







SI UnitsSI Units








SI UnitsSI Units



























Example Example


ftmftm 2832831 =







Citation

Systems of Units

SI Units

SI Units

SI Units

SI Unit Multipliers

USCS Units

USCS Units

Converting Units





SI UnitsSI Units







SI UnitsSI Units








SI UnitsSI Units



























Example Example


ftmftm 2832831 =







Citation

Systems of Units

SI Units

SI Units

SI Units

SI Unit Multipliers

USCS Units

USCS Units

Converting Units


SI UnitsSI Units








SI UnitsSI Units



























Example Example


ftmftm 2832831 =







Citation

Systems of Units

SI Units

SI Units

SI Units

SI Unit Multipliers

USCS Units

USCS Units

Converting Units


SI UnitsSI Units



























Example Example


ftmftm 2832831 =







Citation

Systems of Units

SI Units

SI Units

SI Units

SI Unit Multipliers

USCS Units

USCS Units

Converting Units






















Example Example


ftmftm 2832831 =







Citation

Systems of Units

SI Units

SI Units

SI Units

SI Unit Multipliers

USCS Units

USCS Units

Converting Units








Citation

Systems of Units

SI Units

SI Units

SI Units

SI Unit Multipliers

USCS Units

USCS Units

Converting Units


fundamental concepts: units - onsite...

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