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Find the tool life equation, if a tool life of 80 min is obtained at a cutting speed of 30 m/min and 8 min at 60 m/min.

Question

Find the tool life equation, if a tool life of 80 min is obtained at a cutting speed of 30 m/min and 8 min at 60 m/min.

$VT^{0.7} = C$

$VT^{0.5} = C$

$VT^{0.4} = C$

$VT^{0.3} = C$

Solution

Correct option is D

The tool life equation is generally represented by the formula $VT^n = C$ where:
(V) is the cutting speed,
(T) is the tool life,
(n) is the tool life exponent,
(C) is a constant.
Given:

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Find the tool life equation, if a tool life of 80 min is obtained at a cutting speed of 30 m/min and 8 min at 60 m/min.

$VT^{0.7} = C$

$VT^{0.5} = C$

$VT^{0.4} = C$

$VT^{0.3} = C$

Correct option is D

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Find the tool life equation, if a tool life of 80 min is obtained at a cutting speed of 30 m/min and 8 min at 60 m/min.

​VT0.7=CVT^{0.7} = CVT0.7=C​

​VT0.5=CVT^{0.5} = CVT0.5=C​

​VT0.4=CVT^{0.4} = CVT0.4=C​

​VT0.3=CVT^{0.3} = CVT0.3=C​

Correct option is D

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$VT^{0.7} = C$

$VT^{0.5} = C$

$VT^{0.4} = C$

$VT^{0.3} = C$