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Arc traveled when rotating
Definition 
If you observe a circle, its perimeter will be $2\pi r$, with the radius ($r$). If you have a angle variation ($\Delta\theta$), it represents a fraction of the total circumference, given by the expression:
$\displaystyle\frac{\Delta\theta}{2\pi}$
the distance traveled in a time ($\Delta s$) corresponding to the arc under the angle variation ($\Delta\theta$) which can be calculated as this fraction of the total perimeter of the circle:
For these calculations, it is crucial that the angle is expressed in radians.
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Equation
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Equations
If an object is at a distance equal to the radius ($r$) from an axis and rotates by ERROR:6066.1, which with the angle ($\theta$) and the initial Angle ($\theta_0$) is
it will have traveled an arc length the distance traveled in a time ($\Delta s$), which with the position ($s$) and the starting position ($s_0$) is
This arc length can be calculated by multiplying the radius ($r$) by the angle, that is,
Examples
If you observe a circle, its perimeter will be $2\pi r$, with the radius ($r$). If you have a angle variation ($\Delta\theta$), it represents a fraction of the total circumference, given by the expression:
$\displaystyle\frac{\Delta\theta}{2\pi}$
the distance traveled in a time ($\Delta s$) corresponding to the arc under the angle variation ($\Delta\theta$) which can be calculated as this fraction of the total perimeter of the circle:
For these calculations, it is crucial that the angle is expressed in radians.
The position the distance traveled in a time ($\Delta s$) in a circular motion can be calculated from the angle variation ($\Delta\theta$) and the radius ($r$) of the orbit using the following formula:
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