Hello,

I cannot find charts or formulas to figure out the method of achieving a dual angle position on a tilt/rotate style dividing head. e.g. : 5 deg on 8 deg

say tilting the head 20 deg and rotating from 0 to 35 deg would achieve x' on y'

Does anyone know this method or formula to figure out the position ?

Might be able to help. If you are starting with a position on a work piece
on which a hole is to be drilled at the combined angle of x degrees as
viewed parallel to the x axis and y degrees as viewed parralel to the y
axis, the calculation for the tilt angle & rotation angle is straight
forward. The new position, ie x & y change after tilting the head &
rotating I haven't tried but that shouldn't be tough but I've said that
before & been wrong.

Hul


wrote:
Hello,

I cannot find charts or formulas to figure out the method of achieving a dual angle position on a tilt/rotate style dividing head. e.g. : 5 deg on 8 deg

say tilting the head 20 deg and rotating from 0 to 35 deg would achieve x' on y'

Does anyone know this method or formula to figure out the position ?

On Monday, May 25, 2015 at 6:50:38 AM UTC-7, wrote:
Hello,

I cannot find charts or formulas to figure out the method of achieving a dual angle position on a tilt/rotate style dividing head. e.g. : 5 deg on 8 deg

say tilting the head 20 deg and rotating from 0 to 35 deg would achieve x' on y'

Does anyone know this method or formula to figure out the position ?

Yeah, there's a method. You need to identify the orientation of the desired
axis of rotation, if you plan on rotating the dividing head to a multiplicity
of positions. Then you identify the length (i.e. the radius) of the item being
rotated, and the position of the center of gyration.
The rest, is just vector addition.
A :== Vector of unit length in direction of rotation axis
B :== Vector from origin to center-of-gyration
C :== Vector of unit length from center-of-gyration to '0' degree angle position
D :== - crossproduct(A, C)
L :== le
Then at any angle setting

rotated-item-position-vector = B + (L *cosine(theta)) *C + (L*sine(theta)) *D