Question

Which of the following is a Taylor’s tool life equation, where V-cutting speed (m/min), T-tool life (min), n-exponent and C-constant?

• A. $TV^n = C$
• B. $VT^n = C$
• C. $VC^n = T$
• D. $CV^n = T$

Hint:

For Taylor's tool life equation, remember that the product of cutting speed and tool life raised to a constant exponent is always equal to a constant value for a specific material.

Answer 1

The Correct Option is B

Taylor's tool life equation is a widely used empirical formula in machining that relates the cutting speed (V), tool life (T), and a constant (C). The general form of the equation is: \[ VT^n = C \] Where:
- $V$ is the cutting speed in m/min.
- $T$ is the tool life in minutes.
- $n$ is the exponent (a constant based on the material and cutting conditions).
- $C$ is the constant that depends on the material and conditions.
The equation indicates that the product of the cutting speed and the tool life raised to the power $n$ remains constant for a given material and cutting condition.
Thus, the correct answer is option (2), $VT^n = C$.