Roll Length Calculator

Formula

To calculate the Roll Length (L):

\[ L = \pi \left( \frac{OD^2}{4} - \frac{ID^2}{4} \right) \div t \]

Where:

\(L\) is the Roll Length (meters)
\(OD\) is the Outer Diameter (meters)
\(ID\) is the Inner Diameter (meters)
\(t\) is the Thickness (meters)

What is Roll Length?

Roll length is defined as the length of a material that has been rolled into a cylindrical form with a given material thickness. It is calculated by multiplying the difference between the squares of the outer and inner diameters divided by 4, by π, and then dividing by the thickness.

Example Calculation 1

Let's assume the following values:

Outer Diameter (\(OD\)) = 1 meter
Inner Diameter (\(ID\)) = 0.5 meters
Thickness (\(t\)) = 0.01 meters

Using the formula:

\[ L = \pi \left( \frac{1^2}{4} - \frac{0.5^2}{4} \right) \div 0.01 = 98.17 \text{ meters} \]

The Roll Length is 98.17 meters.

Example Calculation 2

Let's assume the following values:

Outer Diameter (\(OD\)) = 2 meters
Inner Diameter (\(ID\)) = 1 meter
Thickness (\(t\)) = 0.05 meters

Using the formula:

\[ L = \pi \left( \frac{2^2}{4} - \frac{1^2}{4} \right) \div 0.05 = 47.12 \text{ meters} \]

The Roll Length is 47.12 meters.