GATE ME 2018 Set 1 — Question 23
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Manufacturing Processes → Machining & Machine Tools → Tool Life (Taylor's Equation)
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Question
Using the Taylor’s tool life equation with exponent , if the cutting speed is reduced by 50%, the ratio of new tool life to original tool life is
Correct answer
(A) 4
Solution
Taylor's tool life equation is given by .Let and be the original cutting speed and tool life, and and be the new values.
Given and .From the equation:
Squaring both sides:
.Therefore, the ratio of new tool life to original tool life is 4.
Given and .From the equation:
Squaring both sides:
.Therefore, the ratio of new tool life to original tool life is 4.
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