Angular Velocity About Z (WZ)
Returns a z component of the difference between the angular velocity vectors of two coordinate system markers.
Format
WZ (To Marker, From Marker, About Marker)
Arguments
To Marker | (Required) The coordinate system marker whose angular velocity is being measured. |
From Marker | (Optional) The coordinate system marker whose angular velocity is subtracted off. If you don't specify this argument, it defaults to the global coordinate system. |
About Marker | (Optional) The coordinate system marker about whose z-axis the angular velocity is measured. If you don't specify this argument, it defaults to the global z-axis. |
Equation
Mathematically, WZ is calculated as follows:
where:
■
is the angular velocity vector of the To Marker, T, with respect to the ground reference frame, G.
is the angular velocity vector of the To Marker, T, with respect to the ground reference frame, G.■
is the angular velocity vector of the From Marker, F, with respect to the ground reference frame, G.
is the angular velocity vector of the From Marker, F, with respect to the ground reference frame, G.■
is the unit vector along the z-axis of the About Marker, A.
is the unit vector along the z-axis of the About Marker, A.Example
The following function returns the z component of the angular velocity between marker_T and marker_F, as measured in the coordinate system of marker_A:
WZ(marker_T, marker_F, marker_A)