 dimensions - Maple Help

convert/dimensions

return dimension of a unit Calling Sequence convert(u, dimensions, opts) Parameters

 u - symbol; unit of measure to convert opts - (optional) equation(s) of the form option=value where option is one of base, energy, or symbolic; properties of the conversion Description

 • The convert(u, dimensions) function returns the dimension for a unit u.
 • The base dimensions include length, mass, time, electric_current, thermodynamic_temperature, amount_of_substance, luminous_intensity, amount_of_information, and currency. For a complete list use the GetDimensions(base=true) function. Complex dimensions known to the Units package are:

 electric_resistivity length^3*mass/(time^3*electric_current^2) volume length^3 volume_flow length^3/time moment_of_inertia length^2*mass action length^2*mass/time energy length^2*mass/time^2 torque length*length(radius)*mass/time^2 heat_capacity length^2*mass/(time^2*thermodynamic_temperature) magnetic_flux length^2*mass/(time^2*electric_current) magnetic_inductance length^2*mass/(time^2*electric_current^2) power length^2*mass/time^3 electric_potential length^2*mass/(time^3*electric_current) electric_resistance length^2*mass/(time^3*electric_current^2) kinematic_viscosity length^2/time dose_equivalent energy(dose_equivalent_index)/mass absorbed_dose energy(radiation)/mass specific_heat_capacity length^2/(time^2*thermodynamic_temperature) area length^2 magnetic_dipole_moment length^2*electric_current magnetic_polarizability length^2*time^2*electric_current^2/mass momentum length*mass/time force length*mass/time^2 magnetic_permeability length*mass/(time^2*electric_current^2) thermal_conductivity length*mass/(time^3*thermodynamic_temperature) electric_field_strength length*mass/(time^3*electric_current) electric_dipole_moment length*time*electric_current speed length/time acceleration length/time^2 jerk length/time^3 surface_energy_density mass/time^2 magnetic_flux_density mass/(time^2*electric_current) surface_power_density mass/time^3 heat_transfer_coefficient mass/(time^3*thermodynamic_temperature) electric_charge time*electric_current molar_electric_charge time*electric_current/amount_of_substance luminous_flux solid_angle*luminous_intensity plane_angle length/length(radius) solid_angle length^2/length(radius)^2 frequency 1/time angular_speed plane_angle/time angular_acceleration plane_angle/time^2 angular_jerk plane_angle/time^3 electric_polarizability time^4*electric_current^2/mass heat_insulation_coefficient time^3*thermodynamic_temperature/mass exposure electric_charge(radiation)/mass linear_mass_density mass/length dynamic_viscosity mass/(length*time) pressure mass/(length*time^2) magnetizing_force electric_current/length linear_frequency 1/(length*time) electric_displacement time*electric_current/length^2 luminous_luminance luminous_intensity/length^2 illuminance solid_angle*luminous_intensity/length^2 electric_capacitance time^4*electric_current^2/(length^2*mass) electric_conductance time^3*electric_current^2/(length^2*mass) mass_density mass/length^3 electric_permittivity electric_current^2*time^4/(length^3*mass)

 • You can modify the properties of the conversion by using the convert(u, dimensions, opts) form of this command. The opts argument can contain one or more of the following equations.
 base = true or false
 This option specifies whether to display the dimension as a product of powers of base dimensions. For example, a joule can be converted into either the complex dimension energy or the product of base dimensions length^2*mass/time^2. By default, this option is set to false.
 symbolic = true or false
 This option specifies whether annotations to units should be ignored.  By default, this option is set to false.
 energy = true or false
 If this option is set to true, all dimensions are converted to their similar form in terms of length.  This is useful for studying various energy units. See Energy Conversions. By default, this option is set to false. Examples

 > $\mathrm{convert}\left(\frac{m}{s},\mathrm{dimensions}\right)$
 ${\mathrm{speed}}$ (1)
 > $\mathrm{convert}\left(\frac{\mathrm{ft}}{s},\mathrm{dimensions},\mathrm{base}=\mathrm{true}\right)$
 $\frac{{\mathrm{length}}}{{\mathrm{time}}}$ (2)
 > $\mathrm{convert}\left(\mathrm{cd},\mathrm{dimensions},\mathrm{base}=\mathrm{true}\right)$
 ${\mathrm{luminous_intensity}}$ (3)
 > $\mathrm{convert}\left(Nm,\mathrm{dimensions}\right)$
 ${\mathrm{energy}}$ (4)
 > $\mathrm{convert}\left(Nm\left(\mathrm{radius}\right),\mathrm{dimensions}\right)$
 ${\mathrm{torque}}$ (5)
 > $\mathrm{convert}\left(Nm\left(\mathrm{radius}\right),\mathrm{dimensions},\mathrm{symbolic}=\mathrm{true}\right)$
 ${\mathrm{energy}}$ (6)
 > $\mathrm{convert}\left(W,\mathrm{dimensions},\mathrm{energy}=\mathrm{true}\right)$
 $\frac{{1}}{{{\mathrm{length}}}^{{2}}}$ (7)
 > $\mathrm{convert}\left(\frac{J}{T},\mathrm{dimensions},\mathrm{energy}=\mathrm{true}\right)$
 ${\mathrm{length}}$ (8)

Converting a dimension to the default unit for that dimension in the currently selected system can be done as follows:

 > $\mathrm{convert}\left(\mathrm{speed},\mathrm{system},\mathrm{dimension}\right)$
 $⟦\frac{{m}}{{s}}⟧$ (9)

You can also specify a different system. This will return the default unit for the given dimension in that system.

 > $\mathrm{convert}\left(\mathrm{speed},\mathrm{system},\mathrm{FPS},\mathrm{dimension}\right)$
 $⟦\frac{{\mathrm{ft}}}{{s}}⟧$ (10)