CO2 rotary geometry
Rotary Engraving Circumference Calculator
Convert cylinder diameter to circumference, check artwork wrap angle, and calculate its rectangular surface area. Enter millimeters or inches; the result is geometry only, with machine and fixture setup checked separately.
Content reviewed 2026-11-02. Use the rows as a checklist or shop record; they do not replace a drawing, machine manual, or inspection requirement.
Source
Drawing, machine manual, supplier record, or timed shop test.
Applicability
Apply only to the stated material, process, and quality requirement.
Confidence
Shop validation is required before reuse in a quote.
Input to capture
Measured diameter or circumference, unit, artwork width around the surface, and artwork height along the axis.
Output to carry forward
Circumference, artwork angle, rectangular artwork area, and unused circumference. Use a timed sample for the engraving estimate.
Showing 6 of 6 rows
| Step | Record or check | Next action | Source / applicability | Confidence |
|---|---|---|---|---|
| Circumference | C = π × D. A 50 mm cylinder has a 157.080 mm circumference. | Measure at the artwork position; use one unit for the workpiece and artwork. | Attach the applicable drawing, machine, supplier, or shop record. | Requires shop validation |
| Artwork angle | Angle = surface width ÷ circumference × 360°. A 40 mm width on a 50 mm diameter covers 91.673°. | Compare artwork width with the available circumference and seam allowance. | Attach the applicable drawing, machine, supplier, or shop record. | Requires shop validation |
| Artwork area | Rectangular boundary area = width × height. A 40 × 30 mm boundary is 1,200 mm². | For sparse artwork use actual filled area when estimating engraving time. | Attach the applicable drawing, machine, supplier, or shop record. | Requires shop validation |
| Machine setup | Chuck or roller, supported diameter, rotation direction, clearances, and focus remain machine-specific. | Use the exact rotary/manual procedure and test mark. Geometry is not a calibration. | Attach the applicable drawing, machine, supplier, or shop record. | Requires shop validation |
| LightBurn 2.1 DSP scope | In its Ruida setup, object diameter controls chuck output scaling; the driven roller diameter controls roller scaling. Steps per rotation is a separate setting. | Do not substitute the workpiece circumference for roller calibration. Follow the controller-specific instructions. | Attach the applicable drawing, machine, supplier, or shop record. | Requires shop validation |
| Geometry limit | Supported: a right circular cylinder with constant diameter across the artwork. Excluded: taper, ovality, steps, and irregular profiles. | Use another geometry model and fixture review for excluded surfaces. | Attach the applicable drawing, machine, supplier, or shop record. | Requires shop validation |
Rotary geometry calculator
Use a right circular cylinder with constant diameter across the artwork. Initial values are an arithmetic example. This calculation does not calibrate a rotary, set steps per revolution, or predict engraving time.
- Diameter
- 50.000 mm
- Circumference
- 157.080 mm
- Artwork angle
- 91.673°
- Rectangular artwork area
- 1200.00 mm²
- Unused circumference
- 117.080 mm
The area is a rectangular boundary, not the filled area of sparse artwork. Allow for the seam and fixture clearance separately. Tapered, oval, stepped, or irregular surfaces need another geometry model and a machine-specific test.
Sources and scope
Content reviewed 2026-11-02. A documentation reference supports the stated method or data only; it does not approve settings on another machine.
- LightBurn 2.1 Rotary Mode (DSP)
Documents linked object diameter/circumference and separate chuck/roller scaling and steps-per-rotation setup. Controller instructions are DSP specific. Geometry formulas and worked dimensions here are arithmetic, not LightBurn presets.
Use the result in the quote workflow
- Attach the record to the job or drawing revision.
- Keep the source and review date with the assumption.
- Escalate to the machine manual or quality owner when the result is outside the recorded boundary.