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Roll Outside Diameter Calculator

Roll Outside Diameter Calculator: calculate od² with consistent units and explicit assumptions.

Inputs

mm
m
µm

Results

Outside diameter
271.407401 mm
Core diameter
100 mm
Thickness
50 µm
Turns
1,714.074009 turns
Length
1,000 m

Formula

OD² = core² + 4 × thickness × length ÷ π

Turns = (OD−core) ÷ (2 × thickness)

Length = π × turns × (core + thickness × turns)

Assumptions & limits

  • Ideal tight winding, constant effective ply thickness; no entrapped air.

Worked example

For the example inputs: Outside diameter = 271.4074 mm; Core diameter = 100 mm; Thickness = 50 µm.

OD² = core² + 4 × thickness × length ÷ π

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