# Proposal for the dimensionally consistent treatment of angle and solid angle by the International System of Units (SI)

@article{Leonard2021ProposalFT, title={Proposal for the dimensionally consistent treatment of angle and solid angle by the International System of Units (SI)}, author={B. P. Leonard}, journal={Metrologia}, year={2021}, volume={58} }

Because of continued confusion caused by the SI’s interpretation of angle and solid angle as dimensionless quantities (and the radian and steradian as dimensionless derived units), it is time for the SI to treat these dimensional physical quantities correctly. Building on previous authors’ foundations, starting from Euclid’s Elements, I argue that angle should be recognized as a base quantity with an independent dimension: angle, A. A dimensionally consistent analysis of rotational geometry and…

## 2 Citations

Angles in the SI: a detailed proposal for solving the problem

- PhysicsMetrologia
- 2021

A recent letter [1] proposed changing the dimensionless status of the radian and steradian within the SI, while allowing the continued use of the convention to set the angle 1 radian equal to the…

Angular frequency in the International System of Units. Physicist’s view

- PhysicsMetrologia
- 2021

Currently, in the International System of Units (SI), reciprocal second (s−1) and radian per second (rad s−1) are the units of frequency ν and angular frequency ω, respectively. At the same time,…

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