dimensions1 http://www.openmath.org/cd/dimensions1.ocd 2004-04-01 experimental 2003-08-20 4 0 norm1 arith1 relation1 This CD defines symbols which represent basic physical dimensions. length This symbol represents the length physical dimension. area This symbol represents the area physical dimension. area = length*length volume This symbol represents the volume physical dimension. volume = length*length*length speed This symbol represents the speed physical dimension. It is the size of the derivative of distance with respect to time. speed = length/time velocity This symbol represents the velocity physical dimension. It is the derivative of (vector) distance with respect to time. velocity = displacement/second speed is the Euclidean norm of velocity > > > > acceleration This symbol represents the acceleration physical dimension. It is the second derivative of distance with respect to time. acceleration = length/(time^2) 2 time This symbol represents the time physical dimension. Note that the main units for time are defined in the units_time1 CD. mass This symbol represents the mass physical dimension. force This symbol represents the force physical dimension. force = mass*length/time^2 temperature This symbol represents the temperature physical dimension. pressure This symbol represents the pressure physical dimension. pressure = force/area charge This symbol represents the charge physical dimension. charge = current/voltage current This symbol represents the current physical dimension. current = voltage*charge voltage This symbol represents the voltage physical dimension. voltage = current/charge resistance This symbol represents the resistance physical dimension, it is the resistance that an electrical circuit has to flow of charge. resistance = voltage/current density This symbol represents the density physical dimension, it is the mass per unit volume. density = mass/volume energy This symbol represents the energy physical dimension. energy = mass*length^2/time^2 energy = force*length concentration This symbol represents the concentration physical dimension, it is the amount of a substance in a volume. concentration = mass/length^3 momentum 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