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How to calculate coil weight from width, outer and inner diameter?

May 12, 2023

Schematic diagram of aluminum coil specification parameters

To calculate the weight of a aluminum coil from its width, outer diameter, and inner diameter, you can use the following formula:

(Volume) = 3,14/4*(OD^2-ID^2)*W/ 10^6

(Weight in [kg]) = (Volume) * D

Weight (kg) = [3.14/4 x (OD^2 - ID^2) x W x D] / 10^6

where:

OD is the outer diameter of the aluminum coil in millimeters (mm) ID is the inner diameter of the aluminum coil in millimeters (mm) W is the width of the aluminum coil in millimeters (mm) D is the density of the aluminum in kilograms per cubic meter (kg/m^3). Note that the density of aluminum is approximately 2700 kg/m^3.

The coefficient 10^6 is used to compensate the dimensions in [mm] with the volume in [m^3].

For example, let's say you have an aluminum coil with an outer diameter of 1000 mm, an inner diameter of 500 mm, and a width of 1500 mm. Using the formula above with a density of 2700 kg/m^3, we can calculate the weight of the coil as:

Weight (kg) = [3.14/4 x (1000^2 - 500^2) x 1500 x 2700] / 10^6 Weight (kg) = 2384.4375 kg

Therefore, the weight of the aluminum coil is approximately 2384 kg.


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