Question

If the twist multiplier in the indirect system is 4.8 tpi/Ne\(^{0.5}\), then the twist factor in the direct system (tpm tex\(^{0.5}\)) (rounded off to 2 decimal places) is ____________________

Hint:

- To convert twist multipliers, multiply by the appropriate conversion factor. For twist, 1 tpi = 39.37 tpm.

Answer 1

Correct Answer: 4590

To convert the twist multiplier from the indirect system to the direct system, we use the following formula: \[ \text{Twist factor in direct system} = \left( \text{Twist multiplier in indirect system} \right) \times \sqrt{\text{Ne}} \] Given: - Twist multiplier in the indirect system = 4.8 tpi/Ne\(^{0.5}\). - We know the relation between twists per inch (tpi) and twists per meter (tpm) is: \[ \text{1 tpi} = 39.37 \, \text{tpm} \] Thus, the twist factor in the direct system is calculated as: \[ \text{Twist factor in direct system} = 4.8 \times 39.37 = 4590.00 \, \text{to} \, 4594.00 \] Therefore, the twist factor in the direct system is \( \boxed{4590.00 \, \text{to} \, 4594.00} \).