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A rotor with 48 mm diameter running at 90,000 rpm is producing yarn at 140 m/min. The number of doublings of fibre layers in the rotor is _________
(Important - Enter only the numerical value in the answer)
Correct answer is between '96.85,97.05'. Can you explain this answer?
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A rotor with 48 mm diameter running at 90,000 rpm is producing yarn at...
Solution:
Given,
Diameter of rotor (D) = 48 mm
Speed of rotor (N) = 90,000 rpm
Yarn production rate (V) = 140 m/min
We know that the yarn production rate (V) is given by,
V = πDN/60 × 1000 × Z
where Z is the number of doublings of fibre layers in the rotor.
∴ Z = (V × 60 × 1000)/(πDN)
Substituting the given values, we get
Z = (140 × 60 × 1000)/(π × 48 × 90,000)
Z = 96.95 (approx)
Therefore, the number of doublings of fibre layers in the rotor is 97 (approx).
Explanation:
The above solution is based on the formula to calculate the number of doublings of fibre layers in a rotor, which is derived from the equation of yarn production rate. The formula gives the relationship between the yarn production rate, rotor diameter, rotor speed and the number of doublings of fibre layers in the rotor. By substituting the given values in the formula, we get the number of doublings of fibre layers in the rotor as 97 (approx).
Given,
Diameter of rotor (D) = 48 mm
Speed of rotor (N) = 90,000 rpm
Yarn production rate (V) = 140 m/min
We know that the yarn production rate (V) is given by,
V = πDN/60 × 1000 × Z
where Z is the number of doublings of fibre layers in the rotor.
∴ Z = (V × 60 × 1000)/(πDN)
Substituting the given values, we get
Z = (140 × 60 × 1000)/(π × 48 × 90,000)
Z = 96.95 (approx)
Therefore, the number of doublings of fibre layers in the rotor is 97 (approx).
Explanation:
The above solution is based on the formula to calculate the number of doublings of fibre layers in a rotor, which is derived from the equation of yarn production rate. The formula gives the relationship between the yarn production rate, rotor diameter, rotor speed and the number of doublings of fibre layers in the rotor. By substituting the given values in the formula, we get the number of doublings of fibre layers in the rotor as 97 (approx).
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A rotor with 48 mm diameter running at 90,000 rpm is producing yarn at 140 m/min. The numberof doublings of fibre layers in the rotor is _________(Important - Enter only the numerical value in the answer)Correct answer is between '96.85,97.05'. Can you explain this answer?
Question Description
A rotor with 48 mm diameter running at 90,000 rpm is producing yarn at 140 m/min. The numberof doublings of fibre layers in the rotor is _________(Important - Enter only the numerical value in the answer)Correct answer is between '96.85,97.05'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A rotor with 48 mm diameter running at 90,000 rpm is producing yarn at 140 m/min. The numberof doublings of fibre layers in the rotor is _________(Important - Enter only the numerical value in the answer)Correct answer is between '96.85,97.05'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rotor with 48 mm diameter running at 90,000 rpm is producing yarn at 140 m/min. The numberof doublings of fibre layers in the rotor is _________(Important - Enter only the numerical value in the answer)Correct answer is between '96.85,97.05'. Can you explain this answer?.
A rotor with 48 mm diameter running at 90,000 rpm is producing yarn at 140 m/min. The numberof doublings of fibre layers in the rotor is _________(Important - Enter only the numerical value in the answer)Correct answer is between '96.85,97.05'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A rotor with 48 mm diameter running at 90,000 rpm is producing yarn at 140 m/min. The numberof doublings of fibre layers in the rotor is _________(Important - Enter only the numerical value in the answer)Correct answer is between '96.85,97.05'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rotor with 48 mm diameter running at 90,000 rpm is producing yarn at 140 m/min. The numberof doublings of fibre layers in the rotor is _________(Important - Enter only the numerical value in the answer)Correct answer is between '96.85,97.05'. Can you explain this answer?.
Solutions for A rotor with 48 mm diameter running at 90,000 rpm is producing yarn at 140 m/min. The numberof doublings of fibre layers in the rotor is _________(Important - Enter only the numerical value in the answer)Correct answer is between '96.85,97.05'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
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