Question

In a single pass turning operation the cutting speed is the only variable based on the cutting time cost and the cutting edge cost. The tool life for minimum cost given that cost of $1$ cutting edge is $Rs5$, operator wages including the machine tool cost is $Rs.75/hour$ and tool life equation is $V{T}^{0.1}$ is $100$

• A. $10$
• B. $17$
• C. $29$
• D. $36$

Answer 1

The correct option is D $36$

Given data:
$C_g=5=$ cost of regrinding
$L_m=\frac{75}{60}=1.25$
$V{T}^{0.1}=100$
Optimum tool life
$T_{opt}=\frac{(1-n)}{n}\frac{C_s}{L_m}$
$=\frac{1-0.1}{0.1}\times \frac{5}{1.25}=36min$