Master roll weight, length, and diameter conversions with practical engineering formulas. Prevent invoicing discrepancies and optimize shipping container loading capacities.

Core Engineering Formula for Roll Net Weight

The formula to compute net roll weight based on GSM, width, and linear length is:

Weight (kg) = [ GSM (g/m²) × Width (m) × Length (m) ] / 1,000

Conversely, to find the linear roll length from a known roll weight:

Length (m) = [ Weight (kg) × 1,000 ] / [ GSM (g/m²) × Width (m) ]

Real-World Calculation Example

Scenario: You order a container of spunlace roll goods with a basis weight of 60 GSM, slit width of 1,200 mm (1.2 m), and a specification roll length of 2,000 meters.

Step-by-step calculation:

  • Weight = (60 × 1.2 × 2,000) / 1,000 = 144 kg (Net Fabric Weight).
  • If you utilize a standard 3-inch (76mm ID / 86mm OD) heavy-duty cardboard core weighing approximately 1.5 kg per meter (1.8 kg tare), the Gross Roll Weight is: 144 kg + 1.8 kg = 145.8 kg.

Estimating Roll Diameter from Length

To verify if a roll fits your unwinding machine's clearance, estimate outer roll diameter (OD) using material bulk density:

Roll Diameter OD (m) = √ [ (4 × Length × Thickness / π) + (Core OD)² ]

For standard spunlace, 50 GSM fabric has an average single-layer compressed thickness around 0.35 mm (0.00035 m).

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Engineering Recommendation

Different manufacturing environments impose distinct requirements on liquid wicking velocity, isotropic tensile ratios, and solvent resistance. Contact our applications team to request sample rolls tailored to your machinery before volume production.