# Angles in the SI: treating the radian as an independent, unhidden unit does not require the redefinition of the term ‘frequency’ or the unit hertz

```@article{Quincey2020AnglesIT,
title={Angles in the SI: treating the radian as an independent, unhidden unit does not require the redefinition of the term ‘frequency’ or the unit hertz},
author={Paul Quincey},
journal={Metrologia},
year={2020}
}```
Some recent papers have argued that frequency should have the dimensions of angle/time, with the consequences that 1 Hz = 2π rad/s instead of 1 s-1, and also that ν = ω and h = ħ. This letter puts the case that this argument redefines the quantity 'frequency' and then draws conclusions from equations that rely on the standard definition being used. The problems that this redefinition is designed to address arise from the widespread unstated adoption of the Radian Convention, which treats the…
Comment on 'Angles in the SI: treating the radian as an independent, unhidden unit does not require the redefinition of the term"frequency"or the unit hertz'
In the paper by P. Quincey (2020) [1], the author claims that angles are not dimensionless quantities and that the radian should be a new independent base unit. However, the claim is not supported
Comment on ‘Angles in the SI: a detailed proposal for solving the problem’
Paul Quincey makes a compelling argument for recognizing angle as a base quantity with the radian as the base unit. Solid angle is then a derived quantity with the steradian a coherent derived unit
Angles in the SI: a detailed proposal for solving the problem
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
Proposal for the dimensionally consistent treatment of angle and solid angle by the International System of Units (SI)
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
Reply to Comment on ‘Angles in the SI: a detailed proposal for solving the problem’
The comment by Leonard (2022 Metrologia 59 038001) primarily proposes that if angle is treated as a base quantity, with the radian as its base unit, it would be wrong to change the units for torque
On the dimension of angles and their units
• Mathematics
• 2022
We examine implications of angles having their own dimension, in the same sense as do lengths, masses, etc. The conventional practice in scientiﬁc applications involving trigonometric or exponential

## References

SHOWING 1-10 OF 11 REFERENCES
The Planck constant and its units
• Physics
Journal of Quantitative Spectroscopy and Radiative Transfer
• 2019
Angles-Let's treat them squarely
We suggest a self-consistent treatment of the dimensions and units of the geometric quantity “angle.” The method regards “angle” as a fundamental dimensional physical quantity, on a par with length,
On the units radian and cycle for the quantity plane angle
This paper is concerned with the names and symbols for quantities used to describe oscillatory motion such as for a harmonic oscillator, and the units to be used for the quantity plane angle and
Dimensionless units in the SI
• Physics
• 2015
The International System of Units (SI) is supposed to be coherent. That is, when a combination of units is replaced by an equivalent unit, there is no additional numerical factor. Here we consider
The role of unit systems in expressing and testing the laws of nature
• Physics
Metrologia
• 2019
The paper firstly argues from conservation principles that, when dealing with physics aside from elementary particle interactions, the number of naturally independent quantities, and hence the
On the status of plane and solid angles in the International System of Units (SI)
The article analyzes the arguments that became the basis for declaring in 1995, at the 20th General Conference on Weights and Measures that the plane and solid angles are dimensionless derived
Angles are inherently neither length ratios nor dimensionless
• Physics
Metrologia
• 2019
The status of angles within The International System of Units (SI) has long been a source of controversy and confusion. We address one specific but crucial issue, putting the case that the idea of
International d'Unités (SI)
• 2019
Per Jensen
• The Planck Constant and Its Units, Journal of Quantitative Spectroscopy & Radiative Transfer 237 106594
• 2019