Linear displacement is angular displacement cross radius¶
Assuming a body rotating around a fixed axis, the vector of its linear displacement can be expressed as the cross product of the pseudovector of angular displacement and the radius vector of rotation.
Conditions:
The axis is fixed.
Angular displacement pseudovector and radius vector must be orthogonal to one another.
Links:
- Symbol:
s- Latex:
\({\vec s}\)
- Dimension:
length
- angular_displacement¶
Pseudovector of the body’s angular displacement. See
angular_distance. It is parallel to the rotation axis.
- Symbol:
theta- Latex:
\({\vec \theta}\)
- Dimension:
angle
- rotation_radius_vector¶
Radius vector pointing away from the rotation axis perpendicular to it. See
distance_to_axis.
- Symbol:
r- Latex:
\({\vec r}\)
- Dimension:
length
- law¶
s = cross(theta, r)- Latex:
- \[{\vec s} = \left[ {\vec \theta}, {\vec r} \right]\]