Velocity of transfer between reference frames¶
Suppose two reference frames, one of which is fixed (\(S\)) and the other one is moving (\(S'\)). The movement of a body stationary in moving frame \(S'\) due to the movement of the frame itself is called transfer movement. The velocity related to such movement is called transfer velocity. For any material point \(X\), its transfer velocity relative to fixed frame \(S\) is the sum of the velocity of frame \(S'\) relative to frame \(S\) and the cross product of the angular velocity of moving frame’s rotation and the position vector of \(X\) in moving frame \(S'\).
Links:
- transfer_velocity¶
Vector of transfer velocity of point \(X\) relative to fixed frame \(S\). See
speed.
- Symbol:
v_tr- Latex:
\({\vec v}_\text{tr}\)
- Dimension:
velocity
- moving_frame_velocity¶
Vector of moving frame \(S'\) relative to fixed frame \(S\).
- Symbol:
v_0- Latex:
\({\vec v}_{0}\)
- Dimension:
velocity
- angular_velocity¶
Pseudovector of the angular velocity related to the rotation of moving frame \(S'\) about the instantaneous axis. See
angular_speed.
- Symbol:
w- Latex:
\({\vec \omega}\)
- Dimension:
angle/time
- position_vector¶
Position vector of point \(X\) relative to moving frame \(S'\). See
distance_to_origin.
- Symbol:
r- Latex:
\({\vec r}\)
- Dimension:
length
- law¶
v_tr = v_0 + cross(w, r)- Latex:
- \[{\vec v}_\text{tr} = {\vec v}_{0} + \left[ {\vec \omega}, {\vec r} \right]\]