Speed Calculation for Tool Life Optimization
What is the suitable speed in rpm to achieve a tool life of 30 minutes?
Given data:
- Diameter of cylindrical rod, d = 50 mm
- Length of cylindrical rod, L = 100 mm
- The tool life of a carbide tool used for turning operation is 3 hours when turning at 900 rpm
- If the cutting speed is doubled, the tool life is reduced to 1 hour
Calculate the suitable speed in rpm to achieve a tool life of 30 minutes.
Answer:
To calculate the suitable speed in rpm to achieve a tool life of 30 minutes, we can follow these steps:
Tool Life Optimization Calculation:
Given that the tool life is 3 hours when the cutting speed is 900 rpm:
3 = (π x 50 x 900) / 1000
Now, when the cutting speed is doubled and the tool life is reduced to 1 hour:
1 = (π x 50 x 1800) / 1000
Dividing the two equations, we get:
3 / 1 = ((135π / 1000) / (90π / 100))
1/2 = 135 / 900
Therefore, the suitable speed to achieve a tool life of 30 minutes is:
v = πdn / 1000
30 = (π x 50 x n) / 1000
n = (30 x 1000) / (π x 50)
n = 191 rpm (approx)
Hence, the suitable speed in rpm to achieve a tool life of 30 minutes is 191 rpm.