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Handymath Roll Length Calculator

Roll Length Formula:

\[ L = \frac{\pi \times (D^2 - d^2)}{4 \times t} \]

mm
mm
mm

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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, core diameter, and material thickness. This is commonly used for materials like paper, film, fabric, and metal coils.

2. How Does the Calculator Work?

The calculator uses the roll length formula:

\[ L = \frac{\pi \times (D^2 - d^2)}{4 \times t} \]

Where:

Explanation: The formula calculates the total length by considering the area of the material cross-section divided by the material thickness.

3. Importance of Roll Length Calculation

Details: Accurate roll length calculation is crucial for inventory management, production planning, and material estimation in various industries.

4. Using the Calculator

Tips: Enter all diameters in the same units (mm), and ensure material thickness is accurately measured. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Can I use different units for input?
A: The calculator currently works in millimeters. Convert other units to mm before input.

Q2: What if my material has compression or air gaps?
A: The formula assumes perfect winding. For compressed materials, results may be approximate.

Q3: How accurate is this calculation?
A: Accuracy depends on precise measurement of diameters and material thickness.

Q4: Can this be used for tapered rolls?
A: No, this formula is only for cylindrical rolls with consistent diameter.

Q5: What about materials with varying thickness?
A: Use average thickness for approximate calculations.

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