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Orthogonal machining of a steel workpiece is done with a HSS tool of zero rake angle. The ratio of the cutting force and the thrust force on the tool is 1 : 0.372. The length of cut chip is 4.71 mm while the uncut chip length is 10 mm.What is the shear plane angle ϕ and friction angle β in degree? Use Merchants theory
[PI 2003]
  • a)
    32.49, 10.22
  • b)
    25.22, 20.41
  • c)
    64.78 20.41
  • d)
    25.22, 23.21
Correct answer is option 'B'. Can you explain this answer?
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To find the shear plane angle, we can use the formula:

Shear plane angle = tan^(-1)(uncut chip length / length of cut chip)

Shear plane angle = tan^(-1)(10 mm / 4.71 mm)
Shear plane angle ≈ 63.03 degrees

To find the friction angle, we can use the formula:

Friction angle = tan^(-1)(cutting force / thrust force)

Friction angle = tan^(-1)(1 / 0.372)
Friction angle ≈ 68.33 degrees
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Orthogonal machining of a steel workpiece is done with a HSS tool of zero rake angle. The ratio of the cutting force and the thrust force on the tool is 1 : 0.372. The length of cut chip is 4.71 mm while the uncut chip length is 10 mm.What is the shear plane angle and friction angle β in degree? Use Merchants theory[PI 2003]a)32.49, 10.22b)25.22, 20.41c)64.78 20.41d)25.22, 23.21Correct answer is option 'B'. Can you explain this answer?
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Orthogonal machining of a steel workpiece is done with a HSS tool of zero rake angle. The ratio of the cutting force and the thrust force on the tool is 1 : 0.372. The length of cut chip is 4.71 mm while the uncut chip length is 10 mm.What is the shear plane angle and friction angle β in degree? Use Merchants theory[PI 2003]a)32.49, 10.22b)25.22, 20.41c)64.78 20.41d)25.22, 23.21Correct 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 Orthogonal machining of a steel workpiece is done with a HSS tool of zero rake angle. The ratio of the cutting force and the thrust force on the tool is 1 : 0.372. The length of cut chip is 4.71 mm while the uncut chip length is 10 mm.What is the shear plane angle and friction angle β in degree? Use Merchants theory[PI 2003]a)32.49, 10.22b)25.22, 20.41c)64.78 20.41d)25.22, 23.21Correct 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 Orthogonal machining of a steel workpiece is done with a HSS tool of zero rake angle. The ratio of the cutting force and the thrust force on the tool is 1 : 0.372. The length of cut chip is 4.71 mm while the uncut chip length is 10 mm.What is the shear plane angle and friction angle β in degree? Use Merchants theory[PI 2003]a)32.49, 10.22b)25.22, 20.41c)64.78 20.41d)25.22, 23.21Correct answer is option 'B'. Can you explain this answer?.
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