# Physical quantities¶

Physical quantities.

class sympy.physics.units.quantities.Quantity[source]

Physical quantity.

abbrev

Symbol representing the unit name.

Prepend the abbreviation with the prefix symbol if it is defines.

convert_to(other)[source]

Convert the quantity to another quantity of same dimensions.

Examples

>>> from sympy.physics.units import speed_of_light, meter, second
>>> speed_of_light
speed_of_light
>>> speed_of_light.convert_to(meter/second)
299792458*meter/second

>>> from sympy.physics.units import liter
>>> liter.convert_to(meter**3)
meter**3/1000

scale_factor

Overall magnitude of the quantity as compared to the canonical units.

## Conversion between quantities¶

Several methods to simplify expressions involving unit objects.

sympy.physics.units.util.convert_to(expr, target_units)[source]

Convert expr to the same expression with all of its units and quantities represented as factors of target_units, whenever the dimension is compatible.

target_units may be a single unit/quantity, or a collection of units/quantities.

Examples

>>> from sympy.physics.units import speed_of_light, meter, gram, second, day
>>> from sympy.physics.units import mile, newton, kilogram, atomic_mass_constant
>>> from sympy.physics.units import kilometer, centimeter
>>> from sympy.physics.units import convert_to
>>> convert_to(mile, kilometer)
25146*kilometer/15625
>>> convert_to(mile, kilometer).n()
1.609344*kilometer
>>> convert_to(speed_of_light, meter/second)
299792458*meter/second
>>> convert_to(day, second)
86400*second
>>> 3*newton
3*newton
>>> convert_to(3*newton, kilogram*meter/second**2)
3*kilogram*meter/second**2
>>> convert_to(atomic_mass_constant, gram)
1.66053904e-24*gram


Conversion to multiple units:

>>> convert_to(speed_of_light, [meter, second])
299792458*meter/second
>>> convert_to(3*newton, [centimeter, gram, second])
300000*centimeter*gram/second**2


Conversion to Planck units:

>>> from sympy.physics.units import gravitational_constant, hbar
>>> convert_to(atomic_mass_constant, [gravitational_constant, speed_of_light, hbar]).n()
7.62950196312651e-20*gravitational_constant**(-0.5)*hbar**0.5*speed_of_light**0.5