Post on 13-May-2017
transcript
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
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 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
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
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 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
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
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 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
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
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 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
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
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 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
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
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 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
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
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 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
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
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 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
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
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 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
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 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
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
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
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