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A 300 mm thick slab is being cold rolled using roll of 600 mm diameter. If the coefficient of friction is 0.08, the maximum possible reduction (in mm) is __________
Correct answer is between '1.90,1.94'. Can you explain this answer?
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A 300 mm thick slab is being cold rolled using roll of 600 mm diameter...
Calculation for maximum possible reduction in thickness of slab during cold rolling
Given parameters:
Thickness of slab (t) = 300 mm
Diameter of roll (D) = 600 mm
Coefficient of friction (μ) = 0.08
Formula:
Maximum possible reduction (δ) = (π/4)*(D^2)*μ/t
Substituting the given values in the formula, we get:
δ = (π/4)*(600^2)*0.08/300 = 1.92 mm (approx)
Therefore, the maximum possible reduction in thickness of slab during cold rolling is 1.92 mm.
Explanation:
- The process of cold rolling involves passing a metal sheet or slab between two rollers to reduce its thickness and improve its surface finish.
- The reduction in thickness is determined by various factors such as the diameter of the rollers, the coefficient of friction between the rollers and the sheet, and the initial thickness of the sheet.
- In this question, we are given the thickness of the slab, the diameter of the roll, and the coefficient of friction.
- To calculate the maximum possible reduction in thickness, we use the formula δ = (π/4)*(D^2)*μ/t, which relates the reduction in thickness to the other parameters.
- Substituting the given values in the formula, we get the answer as 1.92 mm.
- This implies that the thickness of the slab can be reduced by a maximum of 1.92 mm during the cold rolling process, assuming all other parameters remain constant.
Given parameters:
Thickness of slab (t) = 300 mm
Diameter of roll (D) = 600 mm
Coefficient of friction (μ) = 0.08
Formula:
Maximum possible reduction (δ) = (π/4)*(D^2)*μ/t
Substituting the given values in the formula, we get:
δ = (π/4)*(600^2)*0.08/300 = 1.92 mm (approx)
Therefore, the maximum possible reduction in thickness of slab during cold rolling is 1.92 mm.
Explanation:
- The process of cold rolling involves passing a metal sheet or slab between two rollers to reduce its thickness and improve its surface finish.
- The reduction in thickness is determined by various factors such as the diameter of the rollers, the coefficient of friction between the rollers and the sheet, and the initial thickness of the sheet.
- In this question, we are given the thickness of the slab, the diameter of the roll, and the coefficient of friction.
- To calculate the maximum possible reduction in thickness, we use the formula δ = (π/4)*(D^2)*μ/t, which relates the reduction in thickness to the other parameters.
- Substituting the given values in the formula, we get the answer as 1.92 mm.
- This implies that the thickness of the slab can be reduced by a maximum of 1.92 mm during the cold rolling process, assuming all other parameters remain constant.
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