Drilling Helical Pitch
Calculate helical drilling revolution count and path length from depth, pitch, and orbit radius.
Description
Helical drilling path combines circular travel with axial pitch per revolution.
Helical drilling path combines circular travel with axial pitch per revolution. Revolution count may be fractional for the supplied depth.1
Calculate helical drilling revolution count and path length from depth, pitch, and orbit radius.
When to use Drilling Helical Pitch
Use this tool to calculate helical drilling revolution count and path length from depth, pitch, and orbit radius.
Prepare the optical measurements, geometry, fitted coefficients or caller-selected thresholds requested. Confirm wavelength, radius/diameter, pulse-width, angle and unit conventions before running the calculation.
How to use Drilling Helical Pitch and understand its results
- Prepare the optical measurements, geometry, fitted coefficients or caller-selected thresholds requested. Confirm wavelength, radius/diameter, pulse-width, angle and unit conventions before running the calculation.
- Enter holeDepthMillimeters, axialPitchPerRevolutionMillimeters, orbitRadiusMillimeters using the field table and calculation rules, then run the tool.
- Read revolutionCount, helicalPathLengthMillimeters. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
| Input field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| holeDepthMillimeters | Hole depth (mm) | number; minimum: 0 | Required |
| axialPitchPerRevolutionMillimeters | Axial pitch per revolution (mm/rev) | number; minimum: 0 | Required |
| orbitRadiusMillimeters | Orbit radius (mm) | number; minimum: 0 | Required |
Enter nonnegative depth/radius and positive pitch in mm. Return turns and path length mm.
turns=depth/pitch; path=turns×hypot(2πradius,pitch) Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| revolutionCount | Required revolutions | number; minimum: 0 |
| helicalPathLengthMillimeters | Helical path length (mm) | number; minimum: 0 |
{
"input": {
"holeDepthMillimeters": 10,
"axialPitchPerRevolutionMillimeters": 0.5,
"orbitRadiusMillimeters": 2
},
"output": {
"revolutionCount": 20,
"helicalPathLengthMillimeters": 251.52627728921664
}
}Limitations and assumptions
No acceleration, hole taper, material removal or laser dose is predicted.
Numeric inputs must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.
Alternative or Complementary methods
Use Cutting Lead Distance: Calculate cutting lead distance from motion latency and planned overcut. For a complementary task, use Stealth-Dicing Pulse Spacing: Calculate stealth-dicing pulse spacing, overlap, and pulse density.
References
-
Drilling Helical Pitch — tool.io
Similar or alternative tools
- Cutting Lead Distance
Calculate cutting lead distance from motion latency and planned overcut.
- Stealth-Dicing Pulse Spacing
Calculate stealth-dicing pulse spacing, overlap, and pulse density.