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A single pass rolling operation on a 28mm thick plate reduces the thickness to 24mm. The width of the plate is 150mm and the average flow stress for the plate material is 300 MPa For a roller radius of 250mm and rotational speed of 12rpm, the power required for the rolling operation in (kW) is closest to:
- a)50
- b)56.5
- c)15.5
- d)27.5
Correct answer is option 'B'. Can you explain this answer?
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Given data:
- Initial thickness of the plate (h1) = 28 mm
- Final thickness of the plate (h2) = 24 mm
- Width of the plate (b) = 150 mm
- Average flow stress of the plate material (σ) = 300 MPa
- Roller radius (R) = 250 mm
- Rotational speed of the roller (n) = 12 rpm
Calculating the reduction in thickness:
The reduction in thickness is given by the formula:
Δh = h1 - h2
Substituting the given values, we get:
Δh = 28 mm - 24 mm
Δh = 4 mm
Calculating the rolling force:
The rolling force can be calculated using the formula:
F = σ * b * Δh
Substituting the given values, we get:
F = 300 MPa * 150 mm * 4 mm
F = 180,000 N
Calculating the power required:
The power required for the rolling operation can be calculated using the formula:
P = (2π * n * F * R) / 60,000
Substituting the given values, we get:
P = (2π * 12 rpm * 180,000 N * 250 mm) / 60,000
P ≈ 56.5 kW
Therefore, the closest answer is option 'B' which is 56.5 kW.
- Initial thickness of the plate (h1) = 28 mm
- Final thickness of the plate (h2) = 24 mm
- Width of the plate (b) = 150 mm
- Average flow stress of the plate material (σ) = 300 MPa
- Roller radius (R) = 250 mm
- Rotational speed of the roller (n) = 12 rpm
Calculating the reduction in thickness:
The reduction in thickness is given by the formula:
Δh = h1 - h2
Substituting the given values, we get:
Δh = 28 mm - 24 mm
Δh = 4 mm
Calculating the rolling force:
The rolling force can be calculated using the formula:
F = σ * b * Δh
Substituting the given values, we get:
F = 300 MPa * 150 mm * 4 mm
F = 180,000 N
Calculating the power required:
The power required for the rolling operation can be calculated using the formula:
P = (2π * n * F * R) / 60,000
Substituting the given values, we get:
P = (2π * 12 rpm * 180,000 N * 250 mm) / 60,000
P ≈ 56.5 kW
Therefore, the closest answer is option 'B' which is 56.5 kW.
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A single pass rolling operation on a 28mm thick plate reduces the thickness to 24mm. Thewidth of the plate is 150mm and the average flow stress for the plate material is 300 MPa For a roller radius of 250mm and rotational speed of 12rpm, the power required for the rolling operation in (kW) is closest to:a)50b)56.5c)15.5d)27.5Correct answer is option 'B'. Can you explain this answer?
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A single pass rolling operation on a 28mm thick plate reduces the thickness to 24mm. Thewidth of the plate is 150mm and the average flow stress for the plate material is 300 MPa For a roller radius of 250mm and rotational speed of 12rpm, the power required for the rolling operation in (kW) is closest to:a)50b)56.5c)15.5d)27.5Correct answer is option 'B'. 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 single pass rolling operation on a 28mm thick plate reduces the thickness to 24mm. Thewidth of the plate is 150mm and the average flow stress for the plate material is 300 MPa For a roller radius of 250mm and rotational speed of 12rpm, the power required for the rolling operation in (kW) is closest to:a)50b)56.5c)15.5d)27.5Correct answer is option 'B'. 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 single pass rolling operation on a 28mm thick plate reduces the thickness to 24mm. Thewidth of the plate is 150mm and the average flow stress for the plate material is 300 MPa For a roller radius of 250mm and rotational speed of 12rpm, the power required for the rolling operation in (kW) is closest to:a)50b)56.5c)15.5d)27.5Correct answer is option 'B'. Can you explain this answer?.
A single pass rolling operation on a 28mm thick plate reduces the thickness to 24mm. Thewidth of the plate is 150mm and the average flow stress for the plate material is 300 MPa For a roller radius of 250mm and rotational speed of 12rpm, the power required for the rolling operation in (kW) is closest to:a)50b)56.5c)15.5d)27.5Correct answer is option 'B'. 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 single pass rolling operation on a 28mm thick plate reduces the thickness to 24mm. Thewidth of the plate is 150mm and the average flow stress for the plate material is 300 MPa For a roller radius of 250mm and rotational speed of 12rpm, the power required for the rolling operation in (kW) is closest to:a)50b)56.5c)15.5d)27.5Correct answer is option 'B'. 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 single pass rolling operation on a 28mm thick plate reduces the thickness to 24mm. Thewidth of the plate is 150mm and the average flow stress for the plate material is 300 MPa For a roller radius of 250mm and rotational speed of 12rpm, the power required for the rolling operation in (kW) is closest to:a)50b)56.5c)15.5d)27.5Correct answer is option 'B'. Can you explain this answer?.
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