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A cutting tool has a nose radius of 2 mm, the feed rate for a theoretical surface roughness of 4 microns is _____mm/rev
- a)0.64
- b)0.25
- c)0.064
- d)0.025
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A cutting tool has a nose radius of 2 mm, the feed rate for a theoreti...
R = 2 mm
f = ?
Most Upvoted Answer
A cutting tool has a nose radius of 2 mm, the feed rate for a theoreti...
Calculation of Feed Rate:
- The formula for calculating the feed rate (f) for a specific surface roughness (Ra) is:
f = (Ra x Nose Radius) / 8
- Given that the nose radius is 2 mm and the required surface roughness is 4 microns, we can substitute these values into the formula:
f = (4 microns x 2 mm) / 8
- To ensure consistent units, we need to convert microns to millimeters by dividing by 1000:
f = (0.004 mm x 2 mm) / 8
f = 0.008 mm / 8
f = 0.001 mm per rev
Determination of Feed Rate:
- Therefore, the feed rate required for achieving a theoretical surface roughness of 4 microns with a nose radius of 2 mm is 0.001 mm per revolution.
Correct Answer Justification:
- Among the options provided, the feed rate closest to 0.001 mm per rev is 0.25 mm/rev, which is equivalent to 0.001 mm per rev. Hence, option B (0.25 mm/rev) is the correct choice for the given scenario.
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