Angular position is arc length over radius¶

To describe the rotation of a rigid body about a fixed rotational axis, a reference line is assumed to be fixed in the body, perpendicular to that axis and rotating with the body. The angular position of this is measured relative to a fixed direction and is expressed as a ratio of the arc length of a circular path and its radius (distance to the axis).

Links:

angular_position¶: angular_distance of the body.

Symbol:: theta
Latex:: \(\theta\)
Dimension:: angle

arc_length¶: arc_length of the curve traced by the body’s movement.

Symbol:: s
Latex:: \(s\)
Dimension:: length

distance_to_axis¶: distance_to_axis of rotation, or radius of rotation.

Symbol:: r
Latex:: \(r\)
Dimension:: length

law¶

theta = s / r

Latex:: \[\theta = \frac{s}{r}\]