Centripetal acceleration via cross product¶
Centripetal acceleration is the acceleration of a body in a rotating coordinate system which is directed towards the axis of rotation.
Also see Centrifugal acceleration via centripetal acceleration.
Notation:
\(\left[ \vec a, \vec b \right]\) (
cross(a, b)) is the cross product between \(\vec a\) and \(\vec b\).
Links:
- centripetal_acceleration¶
Vector of centripetal
acceleration.
- Symbol:
a_cp- Latex:
\({\vec a}_\text{cp}\)
- Dimension:
acceleration
- angular_velocity¶
Pseudovector of angular velocity of the body. See
angular_speed.
- Symbol:
w- Latex:
\({\vec \omega}\)
- Dimension:
angle/time
- position_vector¶
Position vector of the body. See
distance_to_origin.
- Symbol:
r- Latex:
\({\vec r}\)
- Dimension:
length
- law¶
a_cp = cross(w, cross(w, r))- Latex:
- \[{\vec a}_\text{cp} = \left[ {\vec \omega}, \left[ {\vec \omega}, {\vec r} \right] \right]\]