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dimensions1
http://www.openmath.org/cd
http://www.openmath.org/cd/dimensions1.ocd
2017-12-31
experimental
2017-09-27
4
3
Author: OpenMath Consortium (James Davenport) SourceURL: https://github.com/OpenMath/CDs
This CD defines symbols which represent basic physical dimensions.
length
constant
This symbol represents the length physical dimension.
area
constant
This symbol represents the area physical dimension.
area = length*length
volume
constant
This symbol represents the volume physical dimension.
volume = length*length*length
speed
constant
This symbol represents the speed physical dimension. It is the size of the derivative of distance with respect to time.
speed = length/time
displacement
constant
This symbol represents the spatial difference between two points. The direction of the displacement is taken into account as well as the distance between the points.
velocity
constant
This symbol represents the velocity physical dimension. It is the derivative of distance with respect to time.
velocity = displacement/time
speed is the Euclidean norm of velocity
acceleration
constant
This symbol represents the acceleration physical dimension. It is the second derivative of distance with respect to time.
acceleration = displacement/(time^2)
2
time
constant
This symbol represents the time physical dimension. Note that the main units for time are defined in the units_time1 CD.
mass
constant
This symbol represents the mass physical dimension.
force
constant
This symbol represents the force physical dimension.
force = mass*length/time^2
2
temperature
constant
This symbol represents the temperature physical dimension.
pressure
constant
This symbol represents the pressure physical dimension.
pressure = force/area
charge
constant
This symbol represents the charge physical dimension.
charge = current/voltage
current
constant
This symbol represents the current physical dimension.
current = voltage*charge
voltage
constant
This symbol represents the voltage physical dimension.
voltage = current/charge
resistance
constant
This symbol represents the resistance physical dimension, it is the resistance that an electrical circuit has to flow of charge.
resistance = voltage/current
density
constant
This symbol represents the density physical dimension, it is the mass per unit volume.
density = mass/volume
energy
constant
This symbol represents the energy physical dimension.
energy = mass*length^2/time^2
energy = force*length
2
2
concentration
constant
This symbol represents the concentration physical dimension, it is the amount of a substance in a volume.
concentration = mass/length^3
3
momentum
constant
This symbol represents the momentum physical dimension, it is mass times velocity.
momentum = mass*velocity
power
This symbol represents the power physical dimension, it is energy per time.
power = energy/time