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Translational and Rotational Equilibrium

Under certain...

Question

Under certain cutting conditions, doubling the cutting speed reduces the tool life to ${(\frac{1}{16})}^{t h}$ of the original. Taylor's tool life index(n) for this tool-workpiece combination will be
0.25

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Solution

The correct option is A 0.25
$V_{1} T_{1}^{n} = V_{2} T_{2}^{n}$

$\Rightarrow V_{1} (T_{1})^{n} = 2 V_{1} {[\frac{1}{16} T_{1}]}_{1}^{n}$

n = 0.25

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