Most problems in basics physics courses and
in Andes deal with angular motion about a fixed axis. In Andes this
axis of rotation is always an axis perpendicular to the screen. By
convention, since the x-y plane has been assume to be the plane of the
screen, using a right hand coordinate system, the positive z axis is out
of the screen and the negative z axis is into the screen. Using this
convention, angular displacement q, angular
velocity w and angular
acceleration a will only have z components.
For the special case of constant angular acceleration from time
T0 to time T1, the kinematics equations for angular motion are:
1. w1_z
= w0_z + a_z*t01
2. q01_z = w0_z*t01
+ 0.5*a_z*t01^2
3. w1_z^2
= w0_z^2 + 2*a_z*q01_z
where q01_z is
the angular displacement from T0 to T1. Here the z subscript denote
a rotation about the z-axis and the component is positive for CCW( counter
clock wise) rotations and negative for CW rotations.