Question

If 75 km of yarn weigh 2.5 kg, the count in metric system will be

• A. \(30^{s}\)
• B. \(2.40^{s}\)
• C. \(10^{s}\)
• D. \(50^{s}\)

Hint:

Metric count (Nm) is an indirect system: length (km) per unit mass (kg). Higher Nm = Finer yarn.

Answer 1

The Correct Option is A

Step 1: Understanding the Metric Count (Nm): The metric count (Nm) is an indirect yarn count system. It represents the number of kilometers of yarn per kilogram of yarn. A higher Nm value means a finer yarn.
Step 2: Calculating Metric Count (Nm): The formula is straightforward: \[ \text{Nm} = \frac{\text{Length in km}}{\text{Weight in kg}}\]
Step 3: Applying the given values: Length = 75 km Weight = 2.5kg \[ \text{Nm} = \frac{75 \text{ km}}{2.5 \text{ kg}} = 30 \] The count in the metric system is 30, which means there are 30 kilometers of yarn in 1 kilogram of yarn. Since the question uses the superscript "s" notation, commonly used for indirect systems, the answer is \(30^{s}\).