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GATE 2018 ME (ME1) – Question 23

Machining and Machine Tool Operations · Cutting tool materials, tool life and wear, economics of machining · 1 mark · Multiple choice

Taylor tool-life exponent is n = 0.5. If cutting speed is reduced by 50%, new tool life divided by original tool life is ______.

  1. 4
  2. 2
  3. 1
  4. 0.5

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Show answer and explanation

Correct answer: (A) 4

Explanation

Taylor’s relation is $VT^n=C$. Thus $T_{\mathrm{new}}/T_{\mathrm{old}}=(V_{\mathrm{old}}/V_{\mathrm{new}})^{1/n}=2^2=4$ (A).