☆ 4.4 Article

On the dimension of angles and their units

METROLOGIA (2022)

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Summary: Leonard's comment argues against changing the units for torque, angular momentum, and moment of inertia if angle is considered a base quantity with radians as its base unit. The proposed revised units would maintain established general relationships and solve the problem of angles being treated as numbers within the SI.

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Comment on 'Angles in the SI: a detailed proposal for solving the problem'

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Summary: Paul Quincey argues for recognizing angle as a base quantity and radian as the base unit. He demonstrates how rotational motion equations can be explained by dimensionally consistent explicit-radian equations using the radian convention. However, based on fundamental physical principles, it is shown that the radian convention cannot be applied to torque, angular momentum, or moment of inertia.

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