# 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…

## 6 Citations

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'

- Physics
- 2020

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’

- PhysicsMetrologia
- 2022

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

- 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…

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

- PhysicsMetrologia
- 2021

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’

- PhysicsMetrologia
- 2022

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…

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