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Spiral 3D Archimedes Screw

try this in


datum curve > from equation


x=t*360*cos(6*t*360)


y=t*360*sin(6*t*360)


z=t /* this is for height u can keep this zero for 2d spiral
smiley1.gif






Regards


Mahesh


kale.mahesh.googlepages.com
 
Dear Mahesh,


As I understand, the archemedian spiral has the equation r= a*theta (I have been away from pure maths for more than 20 yrs).


Where theta is the angle in radians.


When expressed in cartesian co-ordinate system, it becomes...


x= a*theta*cos(theta)


y= a*theta*sin(theta)


z= 0 (for 2D)


The above equation has an end point at the ORIGIN.


Expressed in parametric form... this should become


x=50+t*360*cos(t*360)
y=50+t*360*sin(t*360)
z=t*360 (can be zero for 2D)


where 50 is an offset given by me from the origin.


So much for the archemedian spiral.


--------------------


From the posts above, it looks like an Archemedian Spiral is different from an Archemedian Screw... or is there a ralation...?


I am confused with respect to the pitch. does it havea constant pitch?


I am uploading a WF2 file...


2007-07-30_033647_archemedian_spiral.prt.rar
 

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