Question

A plain woven fabric with 20 ends per cm and 30 picks per cm is prepared with 30 tex warp yarns and 25 tex weft yarns. Neglecting yarn crimp, the areal density (g/m\(^2\)) of the fabric (in integer) is:

Hint:

- The areal density is calculated by considering the yarn count (tex) and the number of yarns per unit length in the warp and weft directions.

Answer 1

The areal density \( D \) of a fabric can be calculated using the formula: \[ D = \left( \text{Ends per cm} \times \text{Tex of warp yarns} + \text{Picks per cm} \times \text{Tex of weft yarns} \right) \times 10 \] Substituting the given values: \[ D = \left( 20 \times 30 + 30 \times 25 \right) \times 10 = \left( 600 + 750 \right) \times 10 = 1350 \, \text{g/m}^2 \] Thus, the areal density of the fabric is \( 1350 \, \text{g/m}^2 \).