docs: angular quantities documentation improved

This commit is contained in:
Mateusz Pusz
2022-09-03 12:28:21 +02:00
parent 1a0a55d3d2
commit f34282811d
5 changed files with 27 additions and 1 deletions

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@@ -26,7 +26,7 @@ as early as 1936 and as recently as 2022. This would bring the advantages of a p
unit system, with unambiguous units for all physical quantities. At the same time the only notable changes for typical unit system, with unambiguous units for all physical quantities. At the same time the only notable changes for typical
end-users would be: improved units for the quantities **torque**, **angular momentum** and **moment of inertia**. end-users would be: improved units for the quantities **torque**, **angular momentum** and **moment of inertia**.
Paul Quincey in his proposal `"Angles in the SI: a detailed proposal for solving the problem" <https://arxiv.org/pdf/2108.05704.pdf>`_ states: Paul Quincey in his proposal *"Angles in the SI: a detailed proposal for solving the problem"* [Quincey]_ states:
The familiar units assigned to some angular quantities are based on equations that have adopted the radian convention, The familiar units assigned to some angular quantities are based on equations that have adopted the radian convention,
and so are missing `rad`s that would be present if the complete equation is used. The physically-correct units are and so are missing `rad`s that would be present if the complete equation is used. The physically-correct units are
@@ -47,6 +47,17 @@ He proposes the following changes:
**angular acceleration**, and **angular wavenumber** would be removed, the only correct SI units being **angular acceleration**, and **angular wavenumber** would be removed, the only correct SI units being
:math:`rad`, :math:`rad/s`, :math:`rad/s`, :math:`rad/s^2` and :math:`rad/m` respectively. :math:`rad`, :math:`rad/s`, :math:`rad/s`, :math:`rad/s^2` and :math:`rad/m` respectively.
Paul Quincey summarizes that with the above in action:
However, the physical clarity this would build into the SI should be recognised very quickly. The units would tell us that
:math:`torque \times angle = energy`, and :math:`angular\:momentum \times angle = action`, for example, in the same way that they do for
:math:`force \times distance = energy`, :math:`linear\:momentum \times distance = action`, and
:math:`radiant\:intensity \times solid\:angle = radiant\:flux`.
Dimensional analysis could be used to its full extent. Software involving angular quantities would be rationalised.
Arguments about the correct units for frequency and angular frequency, and the meaning of the unit Hz, could be left behind.
The explanation of these changes would be considerably easier and more rewarding than explaining how a kilogram-sized mass
can be measured in terms of the Planck constant.
Angular quantities in the library Angular quantities in the library
--------------------------------- ---------------------------------

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@@ -7,3 +7,4 @@ Generic
generic/unknown generic/unknown
generic/dimensionless generic/dimensionless
generic/angle generic/angle
generic/solid_angle

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@@ -2,7 +2,12 @@ Angle
===== =====
.. doxygenstruct:: units::radian .. doxygenstruct:: units::radian
.. doxygenstruct:: units::rotation
.. doxygenstruct:: units::degree
.. doxygenstruct:: units::gradian
.. doxygenstruct:: units::dim_angle .. doxygenstruct:: units::dim_angle
.. doxygentypedef:: units::angle .. doxygentypedef:: units::angle
.. doxygenvariable:: cotes_angle

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@@ -0,0 +1,8 @@
Solid Angle
===========
.. doxygenstruct:: units::steradian
.. doxygenstruct:: units::dim_solid_angle
.. doxygentypedef:: units::solid_angle

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@@ -2,3 +2,4 @@ References
========== ==========
.. [ISO80000] `ISO 80000-1:2009(E) "Quantities and units — Part 1: General" <https://www.iso.org/standard/30669.html>`_, International Organization for Standardization. .. [ISO80000] `ISO 80000-1:2009(E) "Quantities and units — Part 1: General" <https://www.iso.org/standard/30669.html>`_, International Organization for Standardization.
.. [Quincey] `"Angles in the SI: a detailed proposal for solving the problem" <https://arxiv.org/pdf/2108.05704.pdf>`_, Quincey, Paul (1 October 2021)