Handy Orchard

Label roll stock estimator

Estimate roll length and complete labels from diameter/thickness or a measured length.

Your input

Outside, not inside diameter; geometry mode only.

Measured-length mode only; diameter fields are then ignored.

Outputs are cleared when the input changes.

Result

Enter your data or use the example, then run the tool.

Worked example

OD 100 mm, core OD 40 mm and thickness 0.1 mm gives about 65.973 m. A 50 mm label plus 3 mm gap gives 1244 labels per lane.

Method

Assuming tight uniform winding, length is π(OD² − core OD²)/(4t). Floor full label-plus-gap pitches per lane before multiplying lanes.

Limits

Use core outside diameter and total effective label-plus-liner thickness. Compression and loose winding change estimates. This is stock count, not ribbon use or printer-fit validation.

Sources

Wolfram MathWorld: annulus area in the roll model

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