Question
Download Solution PDFUsing the Taylor's tool life equation with exponent n = 0.5, if the cutting velocity is reduced by half, the ratio of new tool life to original tool life is _______.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Taylor’s Tool Life Equation based on Flank Wear:
VTn = C
Where, V = cutting speed (m/min), T = Time (min) (time taken to develop certain flank wear), n = an exponent that largely depends on tool material, C = constant based on tool and work material and cutting condition.
Calculation:
Using the Taylor’s tool life equation with exponent n = 0.5, if the cutting speed is reduced by 50%, the ratio of new tool life to original tool life is
Given: n = 0.5, V2 = 0.5 V1
V1T1n = V2T2n
\(\frac{{{T_2}}}{{{T_1}}} = {\left( {\frac{{{V_1}}}{{{V_2}}}} \right)^{\frac{1}{n}}} = {\left( 2 \right)^{\frac{1}{{0.5}}}} = {2^2} = 4\)
Last updated on May 19, 2025
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