Picture a spinning record: describe any point by its distance from the center and the angle it has swept, and the tool tip can trace every melody. Turn-mill centers embed this simple polar “record language” into their rotary axis.

• OD turning: the tool keeps a fixed radius while the spindle rotates a full circle, completing the profile in one continuous motion.
• Face milling: the radius grows or shrinks while the angle follows a programmed curve, yielding spirals or star-shaped grooves without extra tool changes.
• Internal cavity clearing: radius decreases and angle increases simultaneously, letting complex inner surfaces emerge in a single pass.

Why choose polar coordinates?

Programming shrinks from long X-Y-Z blocks to concise radius-angle commands. Tool paths follow the shortest arc, cutting idle time and improving surface finish. Curves that once needed multiple setups—stars, petals, spirals—are now expressed in a single equation.

Typical applications
• Face star grooves: one simple polar routine replaces bulky code.
• OD spiral oil grooves: radius and angle advance together, eliminating re-clamping.
• Internal elliptical corners: radius varies with angle while depth drops, delivering clean root radii.

JSWAY solution
Hardware: every JTMX turn-mill center offers a high-resolution rotary axis and built-in polar interpolation.
Software: JS-CAM generates polar tool paths automatically and flags potential collisions; cloud post-processors support major control brands.
Service: every machine purchase includes hands-on polar programming training and lifetime remote support.

In short, polar coordinates turn rotational surfaces into a brief dialogue of radius and angle, letting turn-mill centers achieve complex shapes with shorter programs and fewer tool changes. Choose JSWAY CNC COMPANY and turn polar formulas into ready-to-use productivity.