CALCULATOR
Ideal Uniform Roll Length Calculator
Ideal Uniform Roll Length Calculator — change the supplied values to calculate ideal uniform roll length.
Ideal tight uniform winding, radius gap positive; no compression, void, stretch or core-wall correction.
Accepted inputs: Core radius: 1 to 1,000 mm; Outer minus core radius: 0.01 to 1,000 mm; Uniform material thickness: 0.001 to 10 mm.
How the calculation works
length=πgap(2core+gap)/(1000thickness)
Annular cross-sectional area equals uniform strip thickness times strip length. Factor outer²−core² as gap(2core+gap) to avoid subtraction.
Worked example
With core radius 25 mm, outer minus core radius 75 mm, uniform material thickness 0.1 mm, ideal uniform roll length is 294.5243113 m.
Assumptions and limits
Ideal tight uniform winding, radius gap positive; no compression, void, stretch or core-wall correction.