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Roll Length Calculator

Roll Length Formula:

\[ Length (m) = \pi \times \frac{OD^2 - ID^2}{4 \times Thickness (m)} \]

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1. What is Roll Length Calculation?

The roll length calculation determines the length of material wound around a core, based on the outer diameter, inner diameter, and material thickness. It's commonly used in paper, film, foil, and textile industries.

2. How Does the Calculator Work?

The calculator uses the roll length formula:

\[ Length (m) = \pi \times \frac{OD^2 - ID^2}{4 \times Thickness (m)} \]

Where:

Explanation: The formula calculates the length by determining how many layers of material exist between the inner and outer diameters.

3. Importance of Roll Length Calculation

Details: Accurate roll length calculation is crucial for inventory management, production planning, and logistics in industries that use rolled materials.

4. Using the Calculator

Tips: Enter all diameters and thickness in meters. Ensure OD > ID > 0 and thickness > 0 for valid calculations.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use?
A: The calculator uses meters for all dimensions. Convert from other units before entering values.

Q2: Does this work for any material?
A: Yes, as long as the material has uniform thickness and is wound evenly around the core.

Q3: How accurate is this calculation?
A: It's mathematically precise for perfectly wound materials. Real-world factors like tension variations may cause slight deviations.

Q4: Can I use diameter in inches?
A: You can, but all measurements must be consistent (all in inches with thickness in inches).

Q5: What if my material compresses when wound?
A: For compressible materials, use the effective compressed thickness rather than single-layer thickness.

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