Enter the roll diameter, core diameter, width, and density into the calculator to determine the paper reel weight.

## Paper Reel Weight Formula

The following equation is used to calculate the Paper Reel Weight.

PRW = (OD^2-ID^2)*W*D

- Where PRW is the paper reel weight (lbs)
- OD is the outer diameter of the roll (in)
- ID is the core diameter (in)
- W is the width of the roll (in)
- D is the density of the paper (lbs/in^3)
- average paper density = .04335 lbs/in^3

## What is a Paper Reel Weight?

Definition:

A paper reel weight is defined as the total mass of a roll of paper with a given diameter, core, and width.

## How to Calculate Paper Reel Weight?

Example Problem:

The following example outlines the steps and information needed to calculate Paper Reel Weight.

First, determine the outer diameter of the reel. In this example, the outer diameter of the reel is measured to be 10 in.

Next, determine the diameter of the core. This core is measured to be 5 in.

Next, determine the width of the roll. The width, in this example, is measured to be 20 inches.

Next, determine the density of the paper. Average paper has a density of .04335 lbs/in^3.

Finally, calculate the paper reel weight using the formula above:

PRW = (OD^2-ID^2)*W*D

PRW = (10^2-5^2)*20*.04335

PRW = 65.025 lbs