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DimensionalAnalysis

Guides

  • Dimensional Analysis

Symbols

  • CanonicalDimensionalProduct
  • ISQConformantQuantityQ
  • PhysicalQuantityData
  • PhysicalQuantityDimensions
  • QuantityUnitStrings
  • SIConformantQuantityQ
  • UnitSystemTransform
PeterBurbery`DimensionalAnalysis`
PhysicalQuantityData
​
PhysicalQuantityData[]
lists every physical quantity
​
​
PhysicalQuantityData[physicalquantity,property]
calculates the value of
property
for
physicalquantity
.
​
Details and Options

Examples  
(5)
Basic Examples  
(5)
Find the SI base unit for magnetic inductance:
In[1]:=
PhysicalQuantityData
["MagneticInductance","SIBaseUnit"]
Out[1]=
1
kg
2
m
/(
2
s
2
A
)
Compute extensive and intensive properties of the SI base quantities:
In[2]:=
SIbaseunits={"Time","Length","Mass","ElectricalCurrent","Temperature","AmountOfSubstance","LuminousIntensity"};
In[3]:=
AssociationMap
PhysicalQuantityData
[#,"PhysicalPropertyType"]&,SIbaseunits
Out[3]=
TimeMissing[NotApplicable],Lengthextensive,Massextensive,ElectricalCurrentMissing[UnknownEntity,{PhysicalQuantity,ElectricalCurrent}],Temperatureintensive,AmountOfSubstanceMissing[UnknownEntity,{PhysicalQuantity,AmountOfSubstance}],LuminousIntensityMissing[NotAvailable]
Select intensive values:
In[4]:=
inten=Select[#"intensive"&]AssociationMap
PhysicalQuantityData
[#,"PhysicalPropertyType"]&,SIbaseunits
Out[4]=
Temperatureintensive
Get the base units:
In[5]:=
PhysicalQuantityData
[First[Keys[inten]],"SIBaseUnit"]
Out[5]=
1
K
​
Find instances of time:
In[1]:=
PhysicalQuantityData
["Time","Instances"]
Out[1]=

characteristic time
,
data transfer time
,
downtime
,
elapsed real time
,
lag
,
latency
,
moving time
,
ping time
,
Poincaré recurrence time
,
relaxation time
,
reverberation time
,
round-trip delay
,
time difference
,
time shift
,
uptime
,
working time

Display the instances as a column of strings:
In[2]:=
ColumnTextForm/@CanonicalName/@
PhysicalQuantityData
["Time","Instances"]
Out[2]=
CharacteristicTime
DataTransferTime
Downtime
ElapsedRealTime
Lag
Latency
MovingTime
PingTime
PoincareRecurrenceTime
RelaxationTime
ReverberationTime
RoundTripDelay
TimeDifference
TimeShift
Uptime
WorkingTime
​
Display instances of mass in a column:
In[1]:=
ColumnTextForm/@CanonicalName/@
PhysicalQuantityData
["Mass","Instances"]
Out[1]=
BasisWeight
BodyMass
CharacteristicMass
DeadweightTonnage
DrainedNetWeight
DryMass
DryWeight
EffectiveMass
FermentationMass
FreshWeight
GravitationalMass
GrossVehicleWeightRating
GrossWeight
InertialMass
JeansMass
LiquidMass
MassAdequate
MassDefect
MassExcess
NetWeight
NetWeightOfDryMatter
OrganicMatter
ParticulateMatter
ReducedMass
RelativisticMass
RestMass
ShipDisplacement
TareWeight
TotalWeight
WetMass
​
Display instances of length:
In[1]:=
ColumnTextForm/@CanonicalName/@
PhysicalQuantityData
["Length","Instances"]
Out[1]=
BondLength
BreakingLength
DiagonalLength
FocalLength
JeansLength
NuclearCollisionLength
NuclearInteractionLength
ScatteringLength
​
Get a random sample of 100 physical quantities out of all physical quantities:
In[1]:=
RandomSample
PhysicalQuantityData
[],100
Out[1]=

electric charge per mass
,
pressure head loss term
,
photometric sensitivity
,
solar hour angle
,
wave energy
,
scattering length
,
correlated color temperature
,
direction and energy distribution of cross section
,
absolute magnitude H
,
absolute bearing
,
permittivity space-frequency tensor density
,
electrocaloric coefficient
,
negative carrier diffusion length
,
pulsar luminosity
,
Deborah number
,
vibration strain gauge factor
,
squat count
,
sound exposure
,
information per money
,
population density
,
turbulent kinetic energy dissipation rate per mass
,
J-H color index
,
Lockhart-Martinelli parameter
,
photon energy
,
bean count
,
dry weight
,
dot pitch
,
inverse Henry's law constant
,
emission measure
,
beam emittance
,
electric capacitance capacity
,
volume cross section
,
differential unidirectional flux
,
torsional constant
,
retentivity
,
word rate
,
total current
,
thigh count
,
2-dimensional bound state momentum space wave function
,
G-band apparent magnitude
,
money per information
,
radiation length
,
tempergy
,
radial distance
,
heat engine efficiency
,
fluidity
,
electrical energy
,
rainfall runoff erosivity factor
,
reverberation time
,
floating point operation rate
,
thin film permeability
,
equivalent ionizing radiation dose rate
,
radio luminosity
,
money per area
,
peel strength
,
creep strength
,
effective diffusion coefficient
,
spatial light modulator sensitivity
,
base pair count
,
statistical weight of subsystem
,
normalized entropy
,
gel point temperature
,
molar heat capacity coefficient C
,
money per person
,
acceleration
,
contact density
,
Hooke number
,
slope parameter G
,
tidal power
,
grand canonical partition function
,
electric power
,
sound angular frequency
,
geocentric ecliptic longitude
,
inverse area
,
orbital radius
,
shear force
,
second hypersusceptibility
,
packet rate
,
stress birefringence
,
V-I color index
,
Poynting vector
,
phase shift
,
spherical irradiance
,
true vapor pressure
,
energy per money
,
Gas Mark
,
isentropic specific heat capacity
,
drink count
,
nugget count
,
gravitational acceleration
,
item count
,
electric impedance
,
bond force constant
,
geometric albedo
,
partial pressure
,
density parameter
,
ionizing radiation exposure dose rate
,
magnetic tension
,
person distance rate
,
logarithmic loudness level

Search for all names with "induct":
Find the units of each quantity with the name induct:

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