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What is the approximate % change in the life, f, of the tool with zero rake angle used in orthogonal cutting when its clearance angle, α, is changed from 10 to 7 deg?
(Hint : Flank wear rate is proportional to cot a)
[ME 1999]
  • a)
    30% increase
  • b)
    30% decrease
  • c)
    70% increase
  • d)
    70% decrease
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
What is the approximate % change in the life, f, of the tool with zero...
Wear rate is proportional to tan y, i.e.
Wear rate ∝ tan y
Where, y  = Clearance angle
When clearance angle is decreased from 10° to 7°, then

= 30.37 % decrease.
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Most Upvoted Answer
What is the approximate % change in the life, f, of the tool with zero...
Assuming that the cutting conditions are kept constant, the approximate % change in the life of the tool with zero rake angle used in orthogonal cutting when its clearance angle is increased can be estimated using the following equation:

% change in tool life = (1 - tanα2/tanα1) x 100

Where:

α1 = original clearance angle
α2 = new clearance angle

The clearance angle is the angle between the flank of the tool and the workpiece surface that is being cut. Increasing the clearance angle reduces the contact area between the tool and the workpiece, which can reduce the cutting forces and the amount of heat generated during the cutting process. This can prolong the life of the tool.

However, increasing the clearance angle also reduces the strength and stability of the tool, which can lead to increased vibrations and chatter during the cutting process. This can cause premature tool failure and reduce the quality of the machined surface.

Therefore, the optimal clearance angle depends on the specific cutting conditions and the properties of the workpiece material. Generally, a clearance angle of 6-8 degrees is recommended for most materials.

Assuming that the original clearance angle is 6 degrees and the new clearance angle is 8 degrees, the % change in tool life can be calculated as:

% change in tool life = (1 - tan8/tan6) x 100
% change in tool life = (1 - 0.277/0.105) x 100
% change in tool life = 62.9%

Therefore, increasing the clearance angle from 6 to 8 degrees can increase the tool life by approximately 62.9%. However, this is only an estimate and the actual change in tool life may vary depending on the specific cutting conditions and the properties of the workpiece material.
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What is the approximate % change in the life, f, of the tool with zero rake angle used in orthogonal cutting when its clearance angle, α, is changed from 10 to 7 deg?(Hint : Flank wear rate is proportional to cot a)[ME 1999]a)30% increaseb)30% decreasec)70% increased)70% decreaseCorrect answer is option 'B'. Can you explain this answer?
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