202 Appendices DMC-2X00
10000 20000
20000
10000

Y

CDBA

X

Figure A-21 - X-Y Motion Path
The first line describes the straight line vector segment between points A and B. The next segment is a
circular arc, which starts at an angle of 180° and traverses -90°. Finally, the third line describes the
linear segment between points C and D. Note that the total length of the motion consists of the
segments:
A-B Linear 10000 units
B-C Circular R
Δ

θ

π

2
360 = 15708
C-D Linear 10000
Total 35708 counts
In general, the length of each linear segment is
L
Xk
Y
k
k=+
22
Where Xk and Yk are the changes in X and Y positions along the linear segment. The length of the
circular arc is
LRkkkΘ2 360
π
The total travel distance is given by
DLk
k
n
=
=
1
The velocity profile may be specified independently in terms of the vector velocity and acceleration.