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A strip is to be rolled from a thickness of 30 mm
to 15 mm using a two-high mill having rolls ofdiameter 300 mm. The coefficient of friction for unaided bite should nearly be
a)0.35
b)0.5
c)0.25
d)0.07
Correct answer is option 'A'. Can you explain this answer?
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A strip is to be rolled from a thickness of 30 mm ... moreto 15 mm usi...
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Rolling of Strip
Rolling is a process of reducing the thickness of a metal strip by passing it between two rolls rotating in opposite directions. The strip is subjected to compressive forces that cause it to elongate in the rolling direction and reduce in thickness. The reduction in thickness depends on the size of the rolls and the coefficient of friction between the rolls and the strip.
Given Parameters
- Initial thickness of the strip (h1) = 30 mm
- Final thickness of the strip (h2) = 15 mm
- Roll diameter (D) = 300 mm
Calculation of Coefficient of Friction
The coefficient of friction is a measure of the resistance to motion between two surfaces in contact. In rolling, it is the friction between the rolls and the strip that determines the reduction in thickness. The coefficient of friction can be calculated using the following formula:
μ = (ln(h1/h2))/(ln(D/d))
where μ is the coefficient of friction, h1 and h2 are the initial and final thickness of the strip, D is the roll diameter, and d is the strip diameter.
In this case, the strip diameter can be assumed to be equal to the roll diameter, i.e., d = D. Substituting the given values, we get:
μ = (ln(30/15))/(ln(300/300)) = 0.35
Hence, the correct answer is option (a) 0.35, which is the closest approximation of the calculated coefficient of friction.
Rolling is a process of reducing the thickness of a metal strip by passing it between two rolls rotating in opposite directions. The strip is subjected to compressive forces that cause it to elongate in the rolling direction and reduce in thickness. The reduction in thickness depends on the size of the rolls and the coefficient of friction between the rolls and the strip.
Given Parameters
- Initial thickness of the strip (h1) = 30 mm
- Final thickness of the strip (h2) = 15 mm
- Roll diameter (D) = 300 mm
Calculation of Coefficient of Friction
The coefficient of friction is a measure of the resistance to motion between two surfaces in contact. In rolling, it is the friction between the rolls and the strip that determines the reduction in thickness. The coefficient of friction can be calculated using the following formula:
μ = (ln(h1/h2))/(ln(D/d))
where μ is the coefficient of friction, h1 and h2 are the initial and final thickness of the strip, D is the roll diameter, and d is the strip diameter.
In this case, the strip diameter can be assumed to be equal to the roll diameter, i.e., d = D. Substituting the given values, we get:
μ = (ln(30/15))/(ln(300/300)) = 0.35
Hence, the correct answer is option (a) 0.35, which is the closest approximation of the calculated coefficient of friction.
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A strip is to be rolled from a thickness of 30 mm ... moreto 15 mm usi...
0.35 is the correct ansewr
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A strip is to be rolled from a thickness of 30 mm ... moreto 15 mm using a two-high mill having rolls ofdiameter 300 mm. The coefficient of friction for unaided bite should nearly bea)0.35b)0.5c)0.25d)0.07Correct answer is option 'A'. Can you explain this answer?
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A strip is to be rolled from a thickness of 30 mm ... moreto 15 mm using a two-high mill having rolls ofdiameter 300 mm. The coefficient of friction for unaided bite should nearly bea)0.35b)0.5c)0.25d)0.07Correct answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A strip is to be rolled from a thickness of 30 mm ... moreto 15 mm using a two-high mill having rolls ofdiameter 300 mm. The coefficient of friction for unaided bite should nearly bea)0.35b)0.5c)0.25d)0.07Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A strip is to be rolled from a thickness of 30 mm ... moreto 15 mm using a two-high mill having rolls ofdiameter 300 mm. The coefficient of friction for unaided bite should nearly bea)0.35b)0.5c)0.25d)0.07Correct answer is option 'A'. Can you explain this answer?.
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