Unit Map

 

no kg
Number of base units Physical quantity SI base units kg m s A K cd mol Coordinates
1 wavenumber m-1 0 -1 0 0 0 0 0 (14, 05, 05)
plane angle, strain m · m-1 0 0 0 0 0 0 0 (15, 05, 05)
solid angle m2 · m-2 0 0 0 0 0 0 0 (15, 05, 05)
length m 0 1 0 0 0 0 0 (16, 05, 05)
area m2 0 2 0 0 0 0 0 (17, 05, 05)
volume m3 0 3 0 0 0 0 0 (18, 05, 05)
area moment of inertia m4 0 4 0 0 0 0 0 (19, 05, 05)
angular acceleration rad · s-2 0 0 -2 0 0 0 0 (23, 05, 05)
frequency, activity, angular velocity s-1 0 0 -1 0 0 0 0 (24, 05, 05)
time s 0 0 1 0 0 0 0 (26, 05, 05)
electric current A 0 0 0 1 0 0 0 (36, 05, 05)
amount of substance mol 0 0 0 0 0 0 1 (46, 05, 05)
coefficient of linear expansion K-1 0 0 0 0 -1 0 0 (54, 05, 05)
temperature K 0 0 0 0 1 0 0 (56, 05, 05)
luminous flux or intensity cd 0 0 0 0 0 1 0 (66, 05, 05)
2 snap m · s−4 0 1 -4 0 0 0 0 (16, 21, 05)
jerk, jolt m · s−3 0 1 -3 0 0 0 0 (16, 22, 05)
acceleration m · s-2 0 1 -2 0 0 0 0 (16, 23, 05)
speed, velocity m · s-1 0 1 -1 0 0 0 0 (16, 24, 05)
absorbed dose rate m2 · s-3 0 2 -3 0 0 0 0 (17, 22, 05)
specific energy, specific latent heat, absorbed dose, dose equivalent m2 · s-2 0 2 -2 0 0 0 0 (17, 23, 05)
kinematic viscosity, diffusion coefficient m2 · s-1 0 2 -1 0 0 0 0 (17, 24, 05)
volumetric flow m3 · s−1 0 3 -1 0 0 0 0 (18, 24, 05)
electric current density m-2 · A 0 -2 0 1 0 0 0 (13, 36, 05)
magnetic field strength m-1 · A 0 -1 0 1 0 0 0 (14, 36, 05)
amount (-of-substance) concentration m-3 · mol 0 -3 0 0 0 0 1 (12, 46, 05)
molar volume m3 · mol-1 0 3 0 0 0 0 -1 (18, 44, 05)
luminance, illuminance, illumination m-2 · cd 0 -2 0 0 0 1 0 (13, 66, 05)
electric charge s · A 0 0 1 1 0 0 0 (26, 36, 05)
catalytic activity s-1 · mol 0 0 -1 0 0 0 1 (24, 46, 05)
luminous energy s · cd · sr 0 0 1 0 0 1 0 (26, 66, 05)
3 electric charge density m-3 · s · A 0 -3 1 1 0 0 0 (12, 26, 36)
dielectric polarization, displacement, surface charge density m-2 · s · A 0 -2 1 1 0 0 0 (13, 26, 36)
electric dipole moment m · s · A 0 1 1 1 0 0 0 (16, 26, 36)
specific heat capacity, specific entropy m2 · s-2 · K-1 0 2 -2 0 -1 0 0 (17, 23, 54)
kg
Number of base units Physical quantity SI base units kg m s A K cd mol Coordinates
1 mass kg 1 0 0 0 0 0 0 (05, 05, 05)
2 density, mass density kg · m-3 1 -3 0 0 0 0 0 (12, 05, 05)
mass per unit area kg · m-2 1 -2 0 0 0 0 0 (13, 05, 05)
mass per unit length kg · m-1 1 -1 0 0 0 0 0 (14, 05, 05)
mass moment of inertia kg · m2 1 2 0 0 0 0 0 (17, 05, 05)
heat flux density, irradiance kg · s-3 1 0 -3 0 0 0 0 (22, 05, 05)
surface tension kg · s-2 1 0 -2 0 0 0 0 (23, 05, 05)
mass flow rate kg · s-1 1 0 -1 0 0 0 0 (24, 05, 05)
molar mass kg · mol-1 1 0 0 0 0 0 -1 (44, 05, 05)
3 sound resistance kg · m-4 · s-1 1 -4 -1 0 0 0 0 (11, 24, 05)
force per volume kg · m-2 · s-2 1 -2 -2 0 0 0 0 (13, 23, 05)
sound impedance kg · m-2 · s-1 1 -2 -1 0 0 0 0 (13, 24, 05)
pressure, stress, energy density kg · m-1 · s-2 1 -1 -2 0 0 0 0 (14, 23, 05)
dynamic viscosity kg · m-1 · s-1 1 -1 -1 0 0 0 0 (14, 24, 05)
force, weight kg · m · s-2 1 1 -2 0 0 0 0 (16, 23, 05)
momentum, impulse kg · m · s-1 1 1 -1 0 0 0 0 (16, 24, 05)
power, radiant flux kg · m2 · s-3 1 2 -3 0 0 0 0 (17, 22, 05)
energy, work, heat, moment of force kg · m2 · s-2 1 2 -2 0 0 0 0 (17, 23, 05)
angular momentum kg · m2 · s-1 1 2 -1 0 0 0 0 (17, 24, 05)
coefficient of heat transfer kg · s-3 · K-1 1 0 -3 0 -1 0 0 (22, 54, 05)
magnetic flux density, magnetic inductivity kg · s-2 · A-1 1 0 -2 -1 0 0 0 (23, 34, 05)
4 electric field strength kg · m · s-3 · A-1 1 1 -3 -1 0 0 0 (16, 22, 34)
permeability kg · m · s-2 · A-2 1 1 -2 -2 0 0 0 (16, 23, 33)
electrical resistance, impedance, reactance kg · m2 · s-3 · A-2 1 2 -3 -2 0 0 0 (17, 22, 33)
electric elastance kg · m2 · s-4 · A-2 1 2 -4 -2 0 0 0 (17, 21, 33)
electric potential, electromotive force kg · m2 · s-3 · A-1 1 2 -3 -1 0 0 0 (17, 22, 34)
inductance kg · m2 · s-2 · A-2 1 2 -2 -2 0 0 0 (17, 23, 33)
magnetic flux kg · m2 · s-2 · A-1 1 2 -2 -1 0 0 0 (17, 23, 34)
resistivity kg · m3 · s−3 · A−2 1 3 -3 -2 0 0 0 (18, 22,33 )
magnetic dipole moment kg · m3 · s-2 · A-1 1 3 -2 -1 0 0 0 (18, 23, 34)
molar energy kg · m2 · s-2 · mol-1 1 2 -2 0 0 0 -1 (17, 23, 44)
thermal conductivity kg · m · s-3 · K-1 1 1 -3 0 -1 0 0 (16, 22, 54)
heat capacity, entropy kg · m2 · s-2 · K-1 1 2 -2 0 -1 0 0 (17, 23, 54)
5 molar heat capacity, molar entropy kg · m2 · s-2 · K-1 · mol-1 1 2 -2 0 -1 0 -1 (17, 23, 44, 54)
per kg
Number of base units Physical quantity SI base units kg m s A K cd mol Coordinates
2 specific volume kg-1 · m3 -1 3 0 0 0 0 0 (18, 05, 05)
chemical concentration kg-1 · mol -1 0 0 0 0 0 1 (46, 05, 05)
3 thermal resistance
error in coordinates -- should be (13, 28, 54)
kg-1 · m-2 · s3 · K1 -1 -2 3 0 1 0 0 (28, 54, 05)
exposure (X and gamma rays) kg-1 · s · A -1 0 1 1 0 0 0 (26, 36, 05)
4 conductivity kg-1 · m-3 · s3 · A2 -1 -3 3 2 0 0 0 (12, 28, 37)
permittivity kg-1 · m-3 · s4 · A2 -1 -3 4 2 0 0 0 (12, 29, 37)
reluctance kg-1 · m-2 · s2 · A2 -1 -2 2 2 0 0 0 (12, 27, 37)
electric conductance kg-1 · m-2 · s3 · A2 -1 -2 3 2 0 0 0 (13, 28, 37)
electric capacitance kg-1 · m-2 · s4 · A2 -1 -2 4 2 0 0 0 (13, 29, 37)
molar conductivity kg-1 · s3 · A2 · mol-1 -1 0 3 2 0 0 -1 (28, 36, 44)

 

red = without mass
blue = with mass
green = per mass

 

 

 

 

 

 

 

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sound
resistance
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impedance
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viscosity
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impulse
velocity angular
momentum
kinematic
viscosity,
diffusion
coefficient
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flow
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density
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stress,
energy
density
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work,
heat, 
moment
of force
specific energy,
specific latent
heat,
absorbed dose,
dose equivalent
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flow
jerk power absorbed
dose
rate
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snap
 
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sound
resistance
    ???     sound
impedance
    ???     dynamic
viscosity
    ???     momentum,
impulse
velocity angular
momentum
kinematic
viscosity,
diffusion
coefficient
    ???     volumetric
flow
    ???         ???     force
density
    ???     pressure,
stress,
energy
density
    ???     force acceleration energy, 
work,
heat, 
moment
of force
specific energy,
specific latent
heat,
absorbed dose,
dose equivalent
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flow
jerk power absorbed
dose
rate
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snap
 
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