# GATE (TF) Textile 2010 Question Paper Solution | GATE/2010/TF/34

###### Question 34 (Textile Engineering & Fibre Science)

In a sizing machine, 100 m length of warp sheet was processed. The warp was stretched by 3%, 2% and 1% at unwinding zone, wet zone and drying zone respectively. The length of warp sheet on weaver’s beam will be

Given in the question-

Warp sheet length=100 meter

Warp stretch % at unwiding zone= 3%

Warp stretch % at wet zone= 2%

Warp stretch % at drying zone= 1%

Length of warp sheet on weaver’s beam=?

Now,

Length of warp sheet on weaver’s beam=Length Warp sheet x (1+Warp stretch % at unwiding zone) x (1+Warp stretch % at wet zone) x (1+Warp stretch % at drying zone)

Length of warp sheet on weaver’s beam=100 x (1+3%) x (1+2%) x (1+1%)

Length of warp sheet on weaver’s beam=100 x (1+3/100) x (1+2/100) x (1+1/100)

Length of warp sheet on weaver’s beam=100 x (1+0.03) x (1+0.02) x (1+0.01)

Length of warp sheet on weaver’s beam=100 x (1.03) x (1.02) x (1.01)

Length of warp sheet on weaver’s beam=106.11 meter (Ans)