Drilling Formulas

This page introduces formulas for calculating basic parameters necessary for drilling. The figures obtained from the calculation 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.

Cutting Speed (vc)

Cutting Speed (vc)
  • π (3.14): Circular constant
  • DC (mm): Drill diameter
  • n (min-1): Spindle speed
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This formula is used to calculate the cutting speed from the drill diameter and the spindle speed.
Example:
Drill diameter (DC) = 10 mm
Spindle speed (n) = 1500 min-1
In this case, the cutting speed (vc) is approximately 47.1 m/min.

Spindle Feed (vf)

Spindle Feed (vf)
  • fr (mm/rev): Feed per revolution (feed rate)
  • n (min-1): Spindle speed
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This formula is used to calculate the spindle (z-axis) feed from the feed per revolution (feed rate) and the spindle speed.
Example:
Feed per revolution (fr) = 0.3 mm/rev
Spindle speed (n) = 1500 min-1
In this case, the spindle (z-axis) feed (vf) is 450 mm/min.

Machining Time (Tc)

Machining Time (Tc)
  • ld (mm): Drilling depth
  • i: Number of holes
  • n (min-1): Spindle speed
  • fr (mm/rev): Feed per revolution (feed rate)
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This formula is used to calculate the machining time from the drilling depth, the number of holes, the spindle feed, and the feed per revolution.
Example of drilling into SCM430 steel:
Drilling depth (ld) = 35 mm
Number of holes (i) = 1
Spindle speed (n) = 1500 min-1
Feed per revolution (fr) = 0.1 mm/rev
In this case, the machining time (Tc) is approximately 14 seconds (0.233 mm/min).

Thread Lead Angle (tan α)

Thread Lead Angle (tan α)
  • I: Lead
  • n: Number of threads
  • P (mm): Pitch
  • d (mm): Effective diameter of thread
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Formula for calculating the lead angle of a screw thread
A
Lead angle (α°)
B
Flank angle (β°)
C
Inclination angle of sheet or holder (θ°)

This formula is used to calculate the lead angle of a screw thread.
The lead angle can be calculated from the lead, the number of threads, the pitch, and the effective diameter of thread.
Example of cutting ISO trapezoidal threads at 30° with right-handed male threads (outer diameter):
Effective diameter = 18 mm
Pitch (P) = 4 mm
Number of threads (n) = 1
Feed per revolution (fr) = 0.1 mm/rev
In this case, the lead angle (tan α) is approximately 4.05°.

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