Project ForgeManufacturing Engineering
Machining Processes
GATE 2015
Medium
Under certain cutting conditions, doubling the cutting speed reduces the tool life to (1/16)th of the original. Taylor's tool life index (n) for this tool-workpiece combination will be __________.
0.25(± 0.01 accepted)
Explanation
Taylor's equation: V·Tⁿ=constant. V1T1ⁿ=V2T2ⁿ with V2=2V1, T2=T1/16: T1ⁿ=2T1ⁿ/16ⁿ ⟹ 16ⁿ=2 ⟹ n=log(2)/log(16)=1/4=0.25.
Source: GATE ME 2015 (Session 1) (2015)
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