GATE ME 2020 Set 2 — Question 55
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Manufacturing Processes → Machining & Machine Tools → Economics of Machining
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Question
Bars of mm length and mm diameter are to be turned on a lathe with a feed of mm/rev. Each regrinding of the tool costs Rs. 20. The time required for each tool change is min. Tool life equation is given as (where cutting speed is in m/min and tool life is in min). The optimum tool cost per piece for maximum production rate is Rs. ________ (round off to 2 decimal places).
Correct answer
26 to 28
Solution
For maximum production rate, the optimum tool life is given by:
where and min.
min.The corresponding optimum cutting speed is:
m/min.The machining time per piece is:
min.The number of pieces produced per tool life is:
pieces/tool.The tool cost per piece is:
.
where and min.
min.The corresponding optimum cutting speed is:
m/min.The machining time per piece is:
min.The number of pieces produced per tool life is:
pieces/tool.The tool cost per piece is:
.
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