GATE ME 2016 Set 2 — Question 61
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Manufacturing Processes → Machining & Machine Tools → Economics of Machining
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Question
For a certain job, the cost of metal cutting is Rs. and the cost of tooling is Rs. , where is a constant, is the cutting speed in m/min and is the tool life in minutes. The Taylor's tool life equation is . The cutting speed (in m/min) for the minimum total cost is _______
Correct answer
57.8 to 58
Solution
1.Total Cost ():
2.Substitute Tool Life ():
From , we have .3.Minimize :
.
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