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Roll Weight Calculator

Roll Weight Formula:

\[ Weight = \pi \times (Outer\ radius^2 - Inner\ radius^2) \times Width \times Density \]

cm
cm
cm
g/cm³

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1. What is the Roll Weight Calculation?

The roll weight calculation determines the weight of a cylindrical roll (like paper, metal, or fabric) based on its dimensions and material density. It's essential for shipping, storage, and material planning.

2. How Does the Calculator Work?

The calculator uses the roll weight formula:

\[ Weight = \pi \times (Outer\ radius^2 - Inner\ radius^2) \times Width \times Density \]

Where:

Explanation: The formula calculates the volume of material (as an annular cylinder) and multiplies by density to get weight.

3. Importance of Roll Weight Calculation

Details: Accurate weight calculation is crucial for logistics, structural support requirements, and material cost estimation in manufacturing and shipping industries.

4. Using the Calculator

Tips: Enter all dimensions in centimeters. For solid rolls (no core), set inner radius to 0. Ensure outer radius > inner radius.

5. Frequently Asked Questions (FAQ)

Q1: What if my roll has no core (is solid)?
A: Set the inner radius to 0 in the calculation.

Q2: How do I find my material's density?
A: Consult material specifications or measure weight/volume of a sample piece.

Q3: Can I use different units?
A: The calculator uses cm and g/cm³. Convert other units before input (1 inch = 2.54 cm, 1 kg/m³ = 0.001 g/cm³).

Q4: Why is the result in grams?
A: Because density is input in g/cm³. Divide by 1000 for kilograms.

Q5: Does this work for non-cylindrical rolls?
A: No, this formula is specifically for right circular cylinders. Other shapes require different formulas.

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