Using Taylor's equation for tool life VT 0.5 = C, what is the per
![Using Taylor's equation for tool life VT 0.5 = C, what is the per](http://storage.googleapis.com/tb-img/production/19/08/26%20June_1.png)
A. 50 %
B. 75 %
C. 200 %
D. 300 %
Please scroll down to see the correct answer and solution guide.
Right Answer is: D
SOLUTION
Concept:
Tool Life:
The actual machining time between two successive regrinds of the cutting tool is called tool life.
Taylor's Tool Life equation is represented by:
VTn = Constant = C
Calculation:
Given:
VT0.5 = C, V1 = 0.5 V0
Now,
we have, VT0.5 = C
∴ V0T00.5 = V1T10.5
VoTo0.5= 0.5 V0T10.5
\({\left( {\frac{{{T_o}}}{{{T_1}}}} \right)^{0.5}} = 0.5\)
\(\frac{{{T_0}}}{{{T_1}}}\) = 0.25
\(\frac{{{T_1}}}{{{T_0}}}\) = 4
% increase is:
\(\frac{{ {T_1}-{T_0}}}{{{T_0}}}× 100\) = (4 - 1) × 100 = 300 %
Taylor's exponent (n) depends on the cutting tool material.
n = 0.05 tool for High carbon steel tool
= 0.1 to 0.2 for HSS/Stellite
= 0.2 to 0.4 for carbides
= 0.4 to 0.6 for Ceramics/Cermates
= 0.7 to 0.9 for Diamond/CBN
n > 1 for UCON (Latest cutting tool material)
Modified Taylor's Tool life equation:
It is represented by, VTnfpdq = C, f = feed in mm/rev, d= depth of cut, p,q = exponents (<1)
Order of influence on tool life, V > f > d