Mechanical Engineering Exam > Mechanical Engineering Questions > The thickness of a plate is reduced from 30 m...
Start Learning for Free
The thickness of a plate is reduced from 30 mm to 10 mm by successive cold rolling passes using identical rolls of diameter 600 mm. Assume that there is no change in width. If the coefficient of friction between the rolls and work piece is 0.1. The minimum number of passes required is:
- a)3
- b)4
- c)6
- d)7
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The thickness of a plate is reduced from 30 mm to 10 mm by successive ...
The reduction in thickness of a plate during cold rolling can be calculated using the formula:
Reduction in thickness = (Initial thickness - Final thickness) / Initial thickness
In this case, the initial thickness is 30 mm and the final thickness is 10 mm. Therefore, the reduction in thickness is:
Reduction in thickness = (30 mm - 10 mm) / 30 mm = 2/3
The reduction in thickness per pass can be calculated using the formula:
Reduction in thickness per pass = (Reduction in thickness)^(1/n)
where n is the number of passes.
Substituting the values, we have:
2/3 = (Reduction in thickness per pass)^(1/n)
Taking the logarithm of both sides, we get:
log(2/3) = (1/n) * log(Reduction in thickness per pass)
Simplifying the equation further, we have:
n = log(2/3) / log(Reduction in thickness per pass)
The coefficient of friction between the rolls and the workpiece is given as 0.1. The reduction in thickness per pass can be calculated using the formula:
Reduction in thickness per pass = (1 - (Coefficient of friction)^2)^(1/2)
Substituting the value of the coefficient of friction, we have:
Reduction in thickness per pass = (1 - 0.1^2)^(1/2) = 0.9949874371
Substituting this value into the equation for n, we have:
n = log(2/3) / log(0.9949874371)
Using logarithm properties, we can simplify the equation further:
n = log(2/3) / log(0.9949874371) ≈ 7
Therefore, the minimum number of passes required is 7, which corresponds to option D.
Reduction in thickness = (Initial thickness - Final thickness) / Initial thickness
In this case, the initial thickness is 30 mm and the final thickness is 10 mm. Therefore, the reduction in thickness is:
Reduction in thickness = (30 mm - 10 mm) / 30 mm = 2/3
The reduction in thickness per pass can be calculated using the formula:
Reduction in thickness per pass = (Reduction in thickness)^(1/n)
where n is the number of passes.
Substituting the values, we have:
2/3 = (Reduction in thickness per pass)^(1/n)
Taking the logarithm of both sides, we get:
log(2/3) = (1/n) * log(Reduction in thickness per pass)
Simplifying the equation further, we have:
n = log(2/3) / log(Reduction in thickness per pass)
The coefficient of friction between the rolls and the workpiece is given as 0.1. The reduction in thickness per pass can be calculated using the formula:
Reduction in thickness per pass = (1 - (Coefficient of friction)^2)^(1/2)
Substituting the value of the coefficient of friction, we have:
Reduction in thickness per pass = (1 - 0.1^2)^(1/2) = 0.9949874371
Substituting this value into the equation for n, we have:
n = log(2/3) / log(0.9949874371)
Using logarithm properties, we can simplify the equation further:
n = log(2/3) / log(0.9949874371) ≈ 7
Therefore, the minimum number of passes required is 7, which corresponds to option D.
Free Test
FREE
| Start Free Test |
Community Answer
The thickness of a plate is reduced from 30 mm to 10 mm by successive ...
7 pass
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
|
Explore Courses for Mechanical Engineering exam
|
|
Similar Mechanical Engineering Doubts
Top Courses for Mechanical EngineeringView all
The thickness of a plate is reduced from 30 mm to 10 mm by successive cold rolling passes using identical rolls of diameter 600 mm. Assume that there is no change in width. If the coefficient of friction between the rolls and work piece is 0.1. The minimum number of passes required is:a)3b)4c)6d)7Correct answer is option 'D'. Can you explain this answer?
Question Description
The thickness of a plate is reduced from 30 mm to 10 mm by successive cold rolling passes using identical rolls of diameter 600 mm. Assume that there is no change in width. If the coefficient of friction between the rolls and work piece is 0.1. The minimum number of passes required is:a)3b)4c)6d)7Correct answer is option 'D'. 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 of a plate is reduced from 30 mm to 10 mm by successive cold rolling passes using identical rolls of diameter 600 mm. Assume that there is no change in width. If the coefficient of friction between the rolls and work piece is 0.1. The minimum number of passes required is:a)3b)4c)6d)7Correct answer is option 'D'. 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 of a plate is reduced from 30 mm to 10 mm by successive cold rolling passes using identical rolls of diameter 600 mm. Assume that there is no change in width. If the coefficient of friction between the rolls and work piece is 0.1. The minimum number of passes required is:a)3b)4c)6d)7Correct answer is option 'D'. Can you explain this answer?.
The thickness of a plate is reduced from 30 mm to 10 mm by successive cold rolling passes using identical rolls of diameter 600 mm. Assume that there is no change in width. If the coefficient of friction between the rolls and work piece is 0.1. The minimum number of passes required is:a)3b)4c)6d)7Correct answer is option 'D'. 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 of a plate is reduced from 30 mm to 10 mm by successive cold rolling passes using identical rolls of diameter 600 mm. Assume that there is no change in width. If the coefficient of friction between the rolls and work piece is 0.1. The minimum number of passes required is:a)3b)4c)6d)7Correct answer is option 'D'. 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 of a plate is reduced from 30 mm to 10 mm by successive cold rolling passes using identical rolls of diameter 600 mm. Assume that there is no change in width. If the coefficient of friction between the rolls and work piece is 0.1. The minimum number of passes required is:a)3b)4c)6d)7Correct answer is option 'D'. Can you explain this answer?.
Solutions for The thickness of a plate is reduced from 30 mm to 10 mm by successive cold rolling passes using identical rolls of diameter 600 mm. Assume that there is no change in width. If the coefficient of friction between the rolls and work piece is 0.1. The minimum number of passes required is:a)3b)4c)6d)7Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of The thickness of a plate is reduced from 30 mm to 10 mm by successive cold rolling passes using identical rolls of diameter 600 mm. Assume that there is no change in width. If the coefficient of friction between the rolls and work piece is 0.1. The minimum number of passes required is:a)3b)4c)6d)7Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The thickness of a plate is reduced from 30 mm to 10 mm by successive cold rolling passes using identical rolls of diameter 600 mm. Assume that there is no change in width. If the coefficient of friction between the rolls and work piece is 0.1. The minimum number of passes required is:a)3b)4c)6d)7Correct answer is option 'D'. Can you explain this answer?, a detailed solution for The thickness of a plate is reduced from 30 mm to 10 mm by successive cold rolling passes using identical rolls of diameter 600 mm. Assume that there is no change in width. If the coefficient of friction between the rolls and work piece is 0.1. The minimum number of passes required is:a)3b)4c)6d)7Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of The thickness of a plate is reduced from 30 mm to 10 mm by successive cold rolling passes using identical rolls of diameter 600 mm. Assume that there is no change in width. If the coefficient of friction between the rolls and work piece is 0.1. The minimum number of passes required is:a)3b)4c)6d)7Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The thickness of a plate is reduced from 30 mm to 10 mm by successive cold rolling passes using identical rolls of diameter 600 mm. Assume that there is no change in width. If the coefficient of friction between the rolls and work piece is 0.1. The minimum number of passes required is:a)3b)4c)6d)7Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup