GATE ME 2015 Set 1 — Question 33
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Manufacturing Processes → Machining & Machine Tools → Tool Life (Taylor's Equation)
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Question
Under certain cutting conditions, doubling the cutting speed reduces the tool life to of the original. Taylor's tool life index () for this tool-workpiece combination will be ________
Correct answer
0.25 to 0.25
Solution
Taylor's tool life equation is .Let the initial cutting speed be and tool life be .
... (1)When the speed is doubled (), the tool life becomes .
... (2)Equating (1) and (2):
Equating the powers:
.The tool life index is 0.25.
... (1)When the speed is doubled (), the tool life becomes .
... (2)Equating (1) and (2):
Equating the powers:
.The tool life index is 0.25.
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