Question 48 (Textile Engineering & Fibre Science)
The tenacity of a two-fold yarn is 1.1 times the tenacity of its component single yarn. The breaking load of the two-fold yarn is X times the breaking load of its single component yarn. Neglecting length contraction due to twist, the value of X, accurate to one decimal place, is __2.1 to 2.3__.
Given in the question–
Let, tenacity of single yarn=T1
Then, tenacity of two-fold yarn(T2)=1.1T1
Let, Breaking load of single yarn=L1
Then , Breaking load of two fold component yarn(L2)=XL1
Let, Linear density of single yarn=N1 (Direct count)
Then ,Linear density of two-fold yarn(N2)=2N1
Value of X=?
i.e. , Tenacity is directly proportional to breaking load(L) and inversaly proportional to linear density(N).
As given in the question-