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Manufacturing Engineering
Machining Processes
GATE 2009
Medium

In a machining experiment, tool life was found to vary with the cutting speed as follows: at 60 m/min, tool life is 81 minutes; at 90 m/min, tool life is 36 minutes. The exponent (n) and constant (k) of the Taylor's tool life equation are

  • n=0.5 and k=540
  • Bn=1 and k=4860
  • Cn=-1 and k=0.74
  • Dn=-0.5 and k=1.155

Explanation

VTⁿ=k: 60(81)ⁿ=90(36)ⁿ ⟹ (81/36)ⁿ=90/60=1.5 ⟹ (2.25)ⁿ=1.5 ⟹ n=ln1.5/ln2.25=0.5. k=V·Tⁿ=60×81^0.5=60×9=540.

Source: GATE ME 2009 (2009)

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