What is the effect on the tool life when the cutting speed is reduced by 20% according to the Taylor tool life equation?
The tool life is reduced by 110% when the cutting speed is decreased by 20%.
Explanation:
The Taylor tool life equation is given by T = C * V^n, where T is the tool life, V is the cutting speed, C is the machining constant, and n is the tool life exponent. In this problem, the cutting speed is reduced by 20%.
We can calculate the new tool life using the equation:
New Tool Life = T * (1 - 0.2)^n
Plugging in the values T = original tool life, n = 0.3, and 0.2 = 20%, we can calculate the new tool life. The tool life is decreased, so the correct answer is (b) The tool life reduced by 110%.
To calculate the new tool life, we can use the Taylor tool life equation with the given values:
T = 350 * V^0.3
Let's assume the original cutting speed V is V mm/min. When the cutting speed is reduced by 20%, the new cutting speed will be 0.8V mm/min.
Therefore, the new tool life can be calculated as:
New Tool Life = 350 * (0.8V)^0.3
Simplifying the equation gives:
New Tool Life = 350 * 0.8^0.3 * V^0.3
New Tool Life = 350 * 0.681 * V^0.3
New Tool Life ≈ 238.35 * V^0.3
From the calculation, we can see that the tool life is reduced compared to the original tool life. Therefore, we can conclude that the tool life is reduced by 110% when the cutting speed is decreased by 20%.
This highlights the importance of understanding the relationship between cutting speed and tool life in machining processes. By knowing how changes in cutting speed can affect tool life, manufacturers and engineers can make informed decisions to optimize machining operations for efficiency and cost-effectiveness.
For further learning about the Taylor Tool Life Equation and its applications, you can explore more resources and examples through reliable sources like engineering textbooks, academic journals, and online educational platforms.