The ciclo, as the unit for angular speed .
The radial angle as exact divisor of the ciclo .
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The ciclo, as the unit for angular speed
The radial angle as exact divisor of the ciclo .
Allow me to discuss a bit about angular velocity and its current unit of measurement, and propose another that seems to be more correct and natural.
Now the angular velocity is measured in radians, and for good mathematicians with great capacity for abstraction this unit may be worth it, but for normal people the use of radian can be a bit confusing and difficult to assimilate.
The main defect of the radian is that it depends on the number pi, and therefore is not an exact division or part of the circumference.
Thus, in the practice and drawing of the circumference, we cannot correctly draw the radian, since its value is 57.2958 ... and that cannot be correctly marked on the circumference.
But if we try to measure with the radius of the circumference the angle corresponding to a radian, we cannot do it either.
Then the radian is abstract, but not practical about the drawing of the circumference.
Although, if we use the 360 degrees ciclo as a unit, everything is simplified and connected with other parameters used in physics such as hertz. (See drawing)
Therefore here there is the proposal of this angular velocity unit.
By its nature, the main divisors of the ciclo are fractions of the same one (here in degrees): 360/2, 360/4, 360/6 (the radial), 360/8, 360/12,.....and of course the simple degree.
* To be acceptable, the radian should be an exact portion of the circumference. For example, 1/4, 1/6 etc. of the circumference.
In relation to the previous drawing, I propose the ciclo as the angle unit; and as angular velocity to the ciclo per second.
The divisors could be: to the radial 1/6 of the ciclo; and to the degree (1/360) of ciclo.
Due to its structure, we can also name radial angles to the angles of equilateral triangle, because if we draw a circumference from any of its vertices and as radius any of its side, we will have that all its sides represent the radius of that circumference.