How To Calculate The Weight, Density and Thickness of Tissue Jumbo/Parent Roll?
In the tissue parent roll industry, understanding the weight, density, and thickness of the tissue parent roll is crucial as these parameters directly affect the quality and performance of the product. This article will detail how to calculate the weight, density, and thickness of a tissue paper parent roll.
1. Calculation of Weight of Tissue Parent Roll
Tissue mother rolls are typically in the form of a cylinder. To calculate the weight of a tissue parent reel, we need the following key parameters:
- Height (H): The height of the tissue parent roll, measured in meters (m).
- Diameter (D): The diameter of the tissue parent roll, measured in meters (m).
- Density (ρ): The density of the tissue parent roll, measured in kilograms per cubic meter (kg/m³).
Using these parameters, we can calculate the weight of the tissue jumbo roll using the following formula:
\[ \text{Weight} (W) = \rho \times \pi \times \left( \frac{D}{2} \right)^2 \times H \]
where π (pi) is the mathematical constant approximately equal to 3.14159.
2. Calculation of Density of Tissue Parent Roll
The density of the tissue jumbo/parent roll refers to the mass per unit volume and is an important characteristic of the paper. It can be determined experimentally. Generally, the density can be calculated using the following formula:
\[ \rho = \frac{W}{V} \]
where W is the weight of the paper, and V is the volume of the paper.
3. Calculation of Thickness of Tissue Parent Roll
The thickness of the tissue paper jumbo roll can be determined by measuring the thickness of the paper under a certain pressure. Typically, the thickness can be calculated using the following formula:
\[ T = \frac{V}{A} \]
where T is the thickness of the paper, V is the volume of the paper, and A is the area of the paper.
4. Example Calculation
Assume we have a tissue paper jumbo roll with a height of 1 meter, a diameter of 0.5 meters, and a density of 800 kilograms per cubic meter. We can use the above formulas to calculate:
1. Calculate the volume:
\[ V = \pi \times \left( \frac{D}{2} \right)^2 \times H = 3.14159 \times \left( \frac{0.5}{2} \right)^2 \times 1 = 0.19635 \, \text{cubic meters} \]
2. Calculate the weight:
\[ W = \rho \times V = 800 \times 0.19635 = 157.08 \, \text{kilograms} \]
From the above calculations, we find that the weight of this tissue parent roll is 157.08 kilograms.
Summary
By using the above calculation methods, we can accurately determine the weight, density, and thickness of the tissue paper parent roll. These parameters are significant for the production, storage, and usage of tissue parent rolls. We hope this article helps you better understand the relevant calculation methods for tissue paper jumbo reel.
