GATE 2016 ME (ME3) – Question 61
In a single point turning operation with cemented carbide tool and steel work piece, it is found that the Taylor’s exponent is 0.25. If the cutting speed is reduced by 50% then the tool life changes by ______ times.
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Correct answer: 14 to 18
Explanation
Taylor’s relation is VTⁿ=C. Therefore T₂/T₁=(V₁/V₂)^(1/n)=2^(1/0.25)=**16**. This is a sixteenfold final tool life, corresponding to an increase of fifteen initial lives; the question asks the multiplicative factor.