Description
localDiameter = tipDiameter+taperPerLength*distance; endDiameter uses segmentLength; radiusIncrease = taperPerLength*distance/2.
Dental specimen and bench-model measurements need an explicit image scale, coordinate origin and geometric convention. A linear taper, chord ratio or calibrated length describes a supplied model and does not establish anatomy or guide clinical treatment.
localDiameter = tipDiameter+taperPerLength*distance; endDiameter uses segmentLength; radiusIncrease = taperPerLength*distance/2.
When to use this tool
Use Endodontic File Bench Taper Diameter Term when checking a supplied research or bench-model dimension.
How to use the tool and how it works
- Enter tipDiameter, taperPerLength, distance, segmentLength. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read localDiameter, endDiameter, radiusIncrease. Use the output convention below.
Require nonnegative tipDiameter, taperPerLength and distance and segmentLength >= distance. localDiameter = tipDiameter+taperPerLength*distance; endDiameter uses segmentLength; radiusIncrease = taperPerLength*distance/2.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| tipDiameter | Tip Diameter | Required. Finite number; minimum 0. |
| taperPerLength | Taper Per Length | Required. Finite number; minimum 0. |
| distance | Distance | Required. Finite number; minimum 0. |
| segmentLength | Segment Length | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| localDiameter | Local Diameter | Required. Finite number. |
| endDiameter | End Diameter | Required. Finite number. |
| radiusIncrease | Radius Increase | Required. Finite number. |
{
"input": {
"tipDiameter": 0.2,
"taperPerLength": 0.04,
"distance": 5,
"segmentLength": 10
},
"output": {
"localDiameter": 0.4,
"endDiameter": 0.6000000000000001,
"radiusIncrease": 0.1
}
}Limitations and assumptions
- Use diameter change per length as taper. Uniform conicity is assumed; dimensions do not establish anatomical fit, instrument conformance or treatment safety.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use verified specimen and instrument methods, full geometry and professional clinical assessment when the question extends beyond bench arithmetic.
References
Similar or alternative tools
- Endodontic File Bench Torque Radius Factor
tangentialForce = torque/radius; forcePerArm = torque/(radius*momentArms).
- File Bench Taper Reference Gap
nominalDiameter = tipDiameter+taperPerLength*distanceFromTip; gap = measuredDiameter-nominalDiameter.