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The thickness, width and length of a metals slab are 50 mm., 250 mm. and 3600 mm. respectively. A rolling operation on this slab reduces the thickness by 10% and increases the width by 3%. The length of the rolled slab is ______ mm (round off to one decimal place).
Correct answer is '3883.49'. Can you explain this answer?
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The thickness, width and length of a metals slab are 50 mm., 250 mm. a...
Calculation of the Length of the Rolled Slab
- Initial thickness of the slab = 50 mm
- Initial width of the slab = 250 mm
- Initial length of the slab = 3600 mm
Thickness Reduction and Width Increase
- After the rolling operation, thickness is reduced by 10%:
New thickness = Initial thickness - (10% of initial thickness)
New thickness = 50 mm - (0.10 * 50 mm) = 45 mm
- Width is increased by 3%:
New width = Initial width + (3% of initial width)
New width = 250 mm + (0.03 * 250 mm) = 257.5 mm
Calculation of the Length of the Rolled Slab
- The volume of the initial slab is equal to the volume of the rolled slab:
Initial volume = Final volume
Initial thickness * Initial width * Initial length = New thickness * New width * New length
50 mm * 250 mm * 3600 mm = 45 mm * 257.5 mm * New length
New length = (50 * 250 * 3600) / (45 * 257.5)
New length = 3883.49 mm
Therefore, the length of the rolled slab is 3883.49 mm.
- Initial thickness of the slab = 50 mm
- Initial width of the slab = 250 mm
- Initial length of the slab = 3600 mm
Thickness Reduction and Width Increase
- After the rolling operation, thickness is reduced by 10%:
New thickness = Initial thickness - (10% of initial thickness)
New thickness = 50 mm - (0.10 * 50 mm) = 45 mm
- Width is increased by 3%:
New width = Initial width + (3% of initial width)
New width = 250 mm + (0.03 * 250 mm) = 257.5 mm
Calculation of the Length of the Rolled Slab
- The volume of the initial slab is equal to the volume of the rolled slab:
Initial volume = Final volume
Initial thickness * Initial width * Initial length = New thickness * New width * New length
50 mm * 250 mm * 3600 mm = 45 mm * 257.5 mm * New length
New length = (50 * 250 * 3600) / (45 * 257.5)
New length = 3883.49 mm
Therefore, the length of the rolled slab is 3883.49 mm.
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Community Answer
The thickness, width and length of a metals slab are 50 mm., 250 mm. a...
Given : h0 = 50 mm , w0 = 250 mm
L0 = 3600 mH , hf = 0.9h0 and wf = 1.03w0
So, h0w0 L0 = hf wf Lf
h0w0 L0 = 0.9h0×1.03w0 × Lf
⇒
= 3883.49 mm
L0 = 3600 mH , hf = 0.9h0 and wf = 1.03w0
So, h0w0 L0 = hf wf Lf
h0w0 L0 = 0.9h0×1.03w0 × Lf
⇒
= 3883.49 mm
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The thickness, width and length of a metals slab are 50 mm., 250 mm. and 3600 mm. respectively. A rolling operation on this slab reduces the thickness by 10% and increases the width by 3%. The length of the rolled slab is ______ mm (round off to one decimal place).Correct answer is '3883.49'. Can you explain this answer?
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The thickness, width and length of a metals slab are 50 mm., 250 mm. and 3600 mm. respectively. A rolling operation on this slab reduces the thickness by 10% and increases the width by 3%. The length of the rolled slab is ______ mm (round off to one decimal place).Correct answer is '3883.49'. 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 The thickness, width and length of a metals slab are 50 mm., 250 mm. and 3600 mm. respectively. A rolling operation on this slab reduces the thickness by 10% and increases the width by 3%. The length of the rolled slab is ______ mm (round off to one decimal place).Correct answer is '3883.49'. 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 The thickness, width and length of a metals slab are 50 mm., 250 mm. and 3600 mm. respectively. A rolling operation on this slab reduces the thickness by 10% and increases the width by 3%. The length of the rolled slab is ______ mm (round off to one decimal place).Correct answer is '3883.49'. Can you explain this answer?.
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