Difficulty: Easy
Correct Answer: decreases
Explanation:
Introduction / Context:
Tool life behavior with speed is central to process planning. The classic Taylor tool life equation captures the inverse relationship between cutting speed and tool life for a given tool-work combination and set of cutting parameters.
Given Data / Assumptions:
Concept / Approach:
Taylor relationship: V * T^n = C, where V is cutting speed, T is tool life, n and C are empirical constants. Holding C and n fixed, an increase in V must be offset by a decrease in T, i.e., tool life falls as cutting speed rises.
Step-by-Step Solution:
Verification / Alternative check:
Plotting log V vs. log T gives a straight line with negative slope (−n), confirming the inverse relationship across tested conditions.
Why Other Options Are Wrong:
Increases/Remains constant: contradicts Taylor’s well-established empirical law.First increases then decreases: not typical for fixed conditions; anomalies usually stem from changing wear mechanisms or cooling.
Common Pitfalls:
Ignoring that feed and depth also affect life; assuming the same constants apply when changing tool materials or coatings.
Final Answer:
decreases
Discussion & Comments