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In a typical metal cutting operation, using a cutting tool a positive rake a = 10°, it is as observed that the shear angle was 20°. The friction angle is
[ME 1997]
  • a)
    45°
  • b)
    30°
  • c)
    60°
  • d)
    40°
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In a typical metal cutting operation, using a cutting tool a positive ...
α = 10°, ϕ= 20°
Ernest & Merchants' theory
2ϕ + β - α = 90°
2 × 20 + β - 10 = 90°
40 + β - 10 = 90°
β = 60°
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Most Upvoted Answer
In a typical metal cutting operation, using a cutting tool a positive ...
° is preferred. This is because a positive rake angle helps to reduce cutting forces, improve chip flow, and increase tool life.

When a cutting tool with a positive rake angle is used, the leading edge of the tool is angled upward, away from the workpiece. As a result, the chip forms at a thinner cross-section, which reduces the cutting force required. Additionally, the chip is directed away from the cutting edge, which reduces the risk of chip clogging and built-up edge formation.

However, it is important to note that the optimum rake angle may vary depending on the material being cut, the cutting speed, and the depth of cut. In some cases, a negative rake angle may be preferred for tougher materials or heavier cuts. Therefore, it is essential to select the appropriate rake angle based on the specific cutting conditions.
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In a typical metal cutting operation, using a cutting tool a positive rake a = 10°, it is as observed that the shear angle was 20°. The friction angle is[ME 1997]a)45°b)30°c)60°d)40°Correct answer is option 'C'. Can you explain this answer?
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