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Two cutting tools are being compared for a machining operation. The tool life equations are:

$\begin{array}{ll} \text{Carbide tool:} & VT^{1.6} = 3000 \\ \text{HSS tool:} & VT^{0.6} = 200 \end{array}$

where $V$ is the cutting speed in $m/min$ and $T$ is the tool life in $min$. The carbide tool will provide higher tool life if the cutting speed in $m/min$ exceeds

  1. $15.0$
  2. $39.4$
  3. $49.3$
  4. $60.0$
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