# Cutting Speed Formulas

This page introduces the formulas for calculating cutting speed. The figures obtained from the calculations are for reference only. The conditions for machining depend on the machine tool you are using. Use the optimal conditions according to your actual machining circumstances.

## Using θ°

• π (3.14): Circular constant
• DC (mm): Tool diameter
• n (min-1): Tool rotation speed
• ap (mm): Depth of cut
• α (°): Cutting angle
memo

This formula is used to calculate the cutting speed at point P (cutting speed at the cutting depth border for oblique machining).
Example:
Depth of cut (ap) = 0.5 mm
Cutter diameter (DC) = 20 mm
Cutting angle (α) = 30°
Tool rotation speed (n) = 127 min-1
In this case, the cutting speed (vc) is approximately 8 m/min.

## Using ap

• π (3.14): Circular constant
• n (min-1): Tool rotation speed
• ap (mm): Depth of cut
• DC (mm): Tool diameter
memo

This formula is used to calculate the cutting speed at point Q (cutting speed at the cutting depth border).
Example:
Depth of cut (ap) = 0.5 mm
Cutter diameter (DC) = 20 mm
Tool rotation speed (n) = 127 min-1
In this case, the cutting speed (vc) is approximately 2 m/min.

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