Paper Roll Size Calculator

Formula

The formula to calculate the Paper Roll Size (PRS) is:

\[ PRS = \frac{\pi \cdot (OD^2 - CD^2)}{4 \cdot PT} \]

Where:

\( PRS \) is the Paper Roll Size (m)
\( OD \) is the Outer Diameter (m)
\( CD \) is the Core Diameter (m)
\( PT \) is the Paper Thickness (m)

What is a Paper Roll Size?

The paper roll size refers to the length of paper that is wound around a core to form a roll. This measurement is essential for various industries, including printing, packaging, and manufacturing, where precise dimensions are crucial for efficient operations. The paper roll size can be determined by knowing the outer diameter of the roll, the diameter of the core, and the thickness of the paper.

Example Calculation

Let's assume the following values:

Outer Diameter (OD) = 1.2 m
Core Diameter (CD) = 0.2 m
Paper Thickness (PT) = 0.01 m

Using the formula to calculate the Paper Roll Size:

\[ PRS = \frac{\pi \cdot (1.2^2 - 0.2^2)}{4 \cdot 0.01} = \frac{\pi \cdot (1.44 - 0.04)}{0.04} = \frac{\pi \cdot 1.4}{0.04} \approx 109.96 \text{ m} \]

The Paper Roll Size is approximately 109.96 meters.