Question

Calculate the production per shift of 8 hrs of a loom running at 200 picks/min with 90% efficiency. The number of picks per inch inserted in the cloth is 56.

• A. 10.4 yards
• B. 20.0 yards
• C. 30.0 yards
• D. 42.86 yards

Hint:

The formula for loom production in length is: Production = \( \frac{\text{Loom Speed (picks/min)} \times \text{Time (min)} \times \text{Efficiency}}{\text{Picks per unit length}} \) Ensure all units are consistent (e.g., if picks/inch, the result will be in inches).

Answer 1

The Correct Option is D

Step 1: Calculate the total number of picks inserted per shift.
Loom speed = 200 picks/min.
Shift duration = 8 hours = \( 8 \times 60 = 480 \) minutes.
Efficiency = 90% = 0.90.
Total picks inserted = (Loom speed) \( \times \) (Shift duration) \( \times \) (Efficiency)
Total picks inserted = \( 200 \, \text{picks/min} \times 480 \, \text{min} \times 0.90 = 86,400 \) picks.

Step 2: Calculate the length of cloth produced in inches.
Picks per inch = 56.
Length in inches = Total picks inserted / Picks per inch
Length in inches = \( \frac{86,400}{56} \approx 1542.86 \) inches.

Step 3: Convert the length from inches to yards.
There are 36 inches in a yard.
Length in yards = Length in inches / 36
Length in yards = \( \frac{1542.86}{36} \approx 42.857 \) yards.

Step 4: Match the result with the options. The calculated production is approximately 42.86 yards, which corresponds to option (D).