Question

In melt spinning, the mass throughput rate of polymer is 210 g/min, the winding speed is 3000 m/min, and the linear density of the yarn produced is 200 denier. The effective draw ratio, (rounded off to two decimal places), is \(\underline{\hspace{2cm}}\).

Hint:

The effective draw ratio in melt spinning is calculated using the winding speed, linear density, and mass throughput rate. Make sure to use consistent units for all quantities.

Answer 1

Correct Answer: 3

The effective draw ratio is given by the formula: \[ \text{Effective draw ratio} = \frac{\text{Winding speed} \times \text{Linear density}}{\text{Mass throughput rate}}. \] Substituting the given values, we get: \[ \text{Effective draw ratio} = \frac{3000 \times 200}{210} \approx 3.00. \] Thus, the effective draw ratio is \( 3.00 \).