For a given woven fabric, fractional cover is 0.5 for both warp and weft. The fractional cover of the fabric, (rounded off to two decimal places), is____.
Calculating Woven Fabric Fractional Cover
The fractional cover of a woven fabric represents the proportion of the fabric's area covered by its constituent yarns (warp and weft). It is calculated based on the individual fractional covers of the warp and weft.
Formula for Fractional Cover
The fractional cover ($C$) can be calculated using the individual fractional covers of the warp ($C_w$) and weft ($C_f$) with the following formula:
$ C = C_w + C_f - (C_w \times C_f) $
Calculation Steps
- Identify Given Values:
- Fractional cover of warp, $ C_w = 0.5 $
- Fractional cover of weft, $ C_f = 0.5 $
- Apply the Formula: Substitute the given values into the formula.
$ C = 0.5 + 0.5 - (0.5 \times 0.5) $
- Simplify the Expression:
$ C = 1.0 - 0.25 $
$ C = 0.75 $
- Final Result: The fractional cover of the fabric is 0.75. Rounded to two decimal places, the value remains 0.75.
Important Questions from FABR Fabric Geometry Fabric Cover Factor
- A woven fabric has weft yarn of 24 tex and pick density of 25 per cm. It is desired to replace only the weft with a 6 tex yarn of same packing density. The pick density per cm required to keep the fabric cover same (answer in integer) is ________.
A series of plain knitted fabrics has varying stitch length ($\ell $). The fabrics are composed of cotton yarns having same packing density but differing in linear density ($T$). The ratio between tightness factor and areal density of the fabrics is proportional to
Cloth cover factor of a square plain jammed cotton fabric, accurate to one decimal place, is________.
- A plain woven fabric with 20 ends per cm and 30 picks per cm is prepared with 30 tex warp yarns and 25 tex weft yarns. Neglecting yarn crimp, the areal density ($g/m^2$) of the fabric (in integer) is ________.
- A yarn is unravelled from a woven fabric specimen of $1 \text{ m} \times 1 \text{ m}$ size. If the length of the straightened yarn is 1.1 m, then the crimp percentage (in integer) is ________.
