Question

In a machining operation, doubling the cutting speed reduces the tool life to \(\frac{1}{8}\) of the original value. The exponent ‘n’ in Taylor’s tool life equation \(VT^n = C\) is:

• A. \( \frac{1}{8} \)
• B. \( \frac{1}{4} \)
• C. \( \frac{1}{3} \)
• D. \( \frac{1}{2} \)

Hint:

Always reduce Taylor’s equation by taking ratios—this eliminates constant \(C\) and simplifies calculations significantly.

Answer 1

The Correct Option is C