Enter the density, roll length, roll width, core diameter, and roll diameter into the calculator to determine the weight of a paper roll. This calculator helps in estimating the weight for logistics and material handling purposes.
Paper Roll Weight Formula
The following formula is used to calculate the weight of a paper roll:
W = ρ * π * (R² - r²) * w * L / 1000
Variables:
- W is the weight of the paper roll (kg)
- ρ is the density of the paper (g/cm³)
- R is the radius of the roll (cm)
- r is the radius of the core (cm)
- w is the width of the roll (cm)
- L is the length of the paper on the roll (m)
To calculate the weight of a paper roll, multiply the density of the paper by the volume of the paper material on the roll and divide by 1000 to convert grams to kilograms.
What is Paper Roll Weight?
Paper roll weight is the weight of the paper material wound around a core. It is an important metric for manufacturers, printers, and shippers to determine the amount of material and the weight for transportation. The weight depends on the density of the paper, the dimensions of the roll, and the size of the core.
How to Calculate Paper Roll Weight?
The following steps outline how to calculate the Paper Roll Weight.
- First, determine the density of the paper (ρ) in grams per cubic centimeter.
- Next, determine the length of the paper on the roll (L) in meters.
- Next, determine the width of the roll (w) in centimeters.
- Next, determine the diameter of the core (2r) and the roll (2R) in centimeters.
- Next, gather the formula from above = W = ρ * π * (R² – r²) * w * L / 1000.
- Finally, calculate the Paper Roll Weight (W) in kilograms.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem:
Use the following variables as an example problem to test your knowledge.
Density of the paper (ρ) = 0.8 g/cm³
Length of the paper on the roll (L) = 5000 meters
Width of the roll (w) = 100 cm
Diameter of the core (2r) = 10 cm
Diameter of the roll (2R) = 100 cm