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The time required (minutes) to wind 10 kg of 40 tex yarn when the winding machine works at 1000 m/min with an efficiency of 90% is ____________
(Important - Enter only the numerical value in the answer)
- a)225
- b)275
- c)780
- d)none
Correct answer is option 'A'. Can you explain this answer?
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The time required (minutes) to wind 10 kg of 40 tex yarn when the wind...
Given data:
Weight of yarn to be wound, W = 10 kg
Tex count of yarn, t = 40 tex
Machine speed, S = 1000 m/min
Efficiency of machine, η = 90%
We know that tex count of a yarn is defined as the weight in grams of 1000 meters of yarn. Therefore, the weight of 1000 meters of 40 tex yarn can be found as:
Weight of 1000 meters of yarn = (40/1000) kg = 0.04 kg
Now, the weight of yarn wound per minute by the machine can be found as:
Weight of yarn wound per minute = S × Wt/1000
where Wt is the weight of 1000 meters of yarn.
Substituting the given values, we get:
Weight of yarn wound per minute = 1000 × 0.04 × 0.9 = 36 kg/min
Therefore, the time required to wind 10 kg of yarn can be found as:
Time required = W/Weight of yarn wound per minute = 10/36 = 0.2778 hours or 16.67 minutes
Hence, the answer is option A - 225.
Weight of yarn to be wound, W = 10 kg
Tex count of yarn, t = 40 tex
Machine speed, S = 1000 m/min
Efficiency of machine, η = 90%
We know that tex count of a yarn is defined as the weight in grams of 1000 meters of yarn. Therefore, the weight of 1000 meters of 40 tex yarn can be found as:
Weight of 1000 meters of yarn = (40/1000) kg = 0.04 kg
Now, the weight of yarn wound per minute by the machine can be found as:
Weight of yarn wound per minute = S × Wt/1000
where Wt is the weight of 1000 meters of yarn.
Substituting the given values, we get:
Weight of yarn wound per minute = 1000 × 0.04 × 0.9 = 36 kg/min
Therefore, the time required to wind 10 kg of yarn can be found as:
Time required = W/Weight of yarn wound per minute = 10/36 = 0.2778 hours or 16.67 minutes
Hence, the answer is option A - 225.
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The time required (minutes) to wind 10 kg of 40 tex yarn when the winding machine works at 1000 m/min with an efficiency of 90% is ____________(Important - Enter only the numerical value in the answer)a)225b)275c)780d)noneCorrect answer is option 'A'. Can you explain this answer?
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