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In a rolling process, a sheet of 25 mm thickness is rolled to 20 mm thickness. Roll is of diameter 1200 mm and it rotates at 100 rpm. What is the roll strip contact length?
- a)54.77 m
- b)54.77 mm
- c)5.477 mm
- d)5477 m
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
In a rolling process, a sheet of 25 mm thickness is rolled to 20 mm t...
Initial thickness
h1 = 25 mm
Final thickness
h2 = 20 mm
Roll diameter = 1200 mm
Speed of rolls = 100 RPM
As we know that contact length of roll strip is given by
Where R = roll radius = 1200/2 = 600 mm
And Δh =
h1-h2 = (25 – 20) = 5 mm
Put these values we have
L = 54.77 mm
Most Upvoted Answer
In a rolling process, a sheet of 25 mm thickness is rolled to 20 mm t...
Understanding the Rolling Process
In a rolling process, the contact length between the rolls and the material being processed is crucial for understanding the deformation and material flow.
Given Data:
- Initial Thickness (h1): 25 mm
- Final Thickness (h2): 20 mm
- Roll Diameter (D): 1200 mm
- Roll Radius (R): D/2 = 600 mm
- Roll Speed (N): 100 rpm
Contact Length Calculation:
To find the contact length (L) between the roll and the sheet during rolling, we can use the following relationship:
- The contact length can be approximated by the formula:
L = π * R * (h1 - h2) / (h1 + h2)
This formula is derived from the geometry of the rolling process, taking into account the reduction in thickness due to the rolling.
Substituting Values:
1. Calculate the average thickness:
- Average Thickness = (h1 + h2) / 2 = (25 mm + 20 mm) / 2 = 22.5 mm
2. Use the formula for contact length:
- L = π * 600 mm * (25 mm - 20 mm) / (25 mm + 20 mm)
- L = π * 600 mm * (5 mm) / (45 mm)
3. Simplifying this gives:
- L ≈ 54.77 mm
Conclusion:
Thus, the roll strip contact length during the rolling process is approximately 54.77 mm. This means that the correct answer is option 'B'.
In a rolling process, the contact length between the rolls and the material being processed is crucial for understanding the deformation and material flow.
Given Data:
- Initial Thickness (h1): 25 mm
- Final Thickness (h2): 20 mm
- Roll Diameter (D): 1200 mm
- Roll Radius (R): D/2 = 600 mm
- Roll Speed (N): 100 rpm
Contact Length Calculation:
To find the contact length (L) between the roll and the sheet during rolling, we can use the following relationship:
- The contact length can be approximated by the formula:
L = π * R * (h1 - h2) / (h1 + h2)
This formula is derived from the geometry of the rolling process, taking into account the reduction in thickness due to the rolling.
Substituting Values:
1. Calculate the average thickness:
- Average Thickness = (h1 + h2) / 2 = (25 mm + 20 mm) / 2 = 22.5 mm
2. Use the formula for contact length:
- L = π * 600 mm * (25 mm - 20 mm) / (25 mm + 20 mm)
- L = π * 600 mm * (5 mm) / (45 mm)
3. Simplifying this gives:
- L ≈ 54.77 mm
Conclusion:
Thus, the roll strip contact length during the rolling process is approximately 54.77 mm. This means that the correct answer is option 'B'.
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In a rolling process, a sheet of 25 mm thickness is rolled to 20 mm thickness. Roll is of diameter 1200 mm and it rotates at 100 rpm. What is the roll strip contact length?a)54.77 mb)54.77 mmc)5.477 mmd)5477 mCorrect answer is option 'B'. Can you explain this answer?
Question Description
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