Acceleration of transfer between relative frames¶
Imagine two reference frames, one of which is fixed (\(S\)) and the other one is moving (\(S'\)). The motion of a body stationary in moving frame \(S'\) due to the motion of the frame itself is called transfer motion. The acceleration related to such motion is called transfer acceleration. It is composed of the acceleration of the moving frame relative to the fixed frame, centripetal acceleration and the acceleration due to uneven rotation of the moving frame. The transfer acceleration only depends on the motion of frame \(S'\) relative to stationary frame \(S\), so its physical meaning would be that it is the acceleration in \(S\) of a point stationary in \(S'\).
Links:
- transfer_acceleration¶
Vector of the transfer
acceleration
.
- Symbol:
a_tr
- Latex:
\({\vec a}_\text{tr}\)
- Dimension:
acceleration
- moving_frame_acceleration¶
Vector of the
acceleration
of the \(S'\) relative to \(S\).
- Symbol:
a_0
- Latex:
\({\vec a}_{0}\)
- Dimension:
acceleration
- centripetal_acceleration¶
Vector of the body’s centripetal
acceleration
relative to \(S'\).
- Symbol:
a_cp
- Latex:
\({\vec a}_\text{cp}\)
- Dimension:
acceleration
- rotation_acceleration¶
Vector of acceleration due to non-uniform rotation of \(S'\).
- Symbol:
a_rot
- Latex:
\({\vec a}_\text{rot}\)
- Dimension:
acceleration
- law¶
a_tr = a_0 + a_cp + a_rot
- Latex:
- \[{\vec a}_\text{tr} = {\vec a}_{0} + {\vec a}_\text{cp} + {\vec a}_\text{rot}\]