Production calculator

Cloth Roll Diameter

Estimate the outer diameter of a tightly wound cloth roll.

Cloth roll diameter (mm)

Method and formula

\begin{aligned} \text{Turns} &= \frac{\text{Fab Thickness (mm)} - \text{OD (mm)} + \sqrt{(\text{OD (mm)} - \text{Fab Thickness (mm)})^2 + \frac{4 \times \text{Fab Thickness (mm)} \times (\text{Fabric Length (m)} \times 1000)}{\pi}}}{2 \times \text{Fab Thickness (mm)}} \\[1em] \text{Roll Diameter (mm)} &= 2 \times \text{Turns} \times \text{Fab Thickness (mm)} + \text{OD (mm)} \end{aligned}

Variable	Expected entry
Fabric length (m)	Enter a positive measured value.
Fabric thickness (mm)	Enter a positive measured value.
Cloth tube outer diameter (mm)	Enter a positive measured value.