I would like to understand why:

$$ s(t) = r \, \theta(t) $$

where $s$ is the curvilinear abscissa, $r$ the radius and $\theta$ the angle in circular motion.

Thank you for your time.

  • $\begingroup$ It is just how the planar angle $\theta$ is defined and measured. It is the ratio of the arc-length to the radius of a circle. $\endgroup$ – Shubham Johri Jan 9 at 10:05
  • $\begingroup$ Hello @ShubhamJohri can you post any link where I can find this definition please? $\endgroup$ – Gennaro Arguzzi Jan 9 at 10:07
  • 1
    $\begingroup$ Look at the 'Radians and Arc Length' section here $\endgroup$ – Shubham Johri Jan 9 at 10:13
  • $\begingroup$ Thank you so much @ShubhamJohri. $\endgroup$ – Gennaro Arguzzi Jan 9 at 11:07

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