Description
nominalDiameter = tipDiameter+taperPerLength*distanceFromTip; gap = measuredDiameter-nominalDiameter.
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.
nominalDiameter = tipDiameter+taperPerLength*distanceFromTip; gap = measuredDiameter-nominalDiameter.
When to use this tool
Use File Bench Taper Reference Gap when checking a supplied research or bench-model dimension.
How to use the tool and how it works
- Enter tipDiameter, taperPerLength, distanceFromTip, measuredDiameter. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read nominalDiameter, gap. Use the output convention below.
Require nonnegative tipDiameter, taperPerLength, distanceFromTip and measuredDiameter. nominalDiameter = tipDiameter+taperPerLength*distanceFromTip; gap = measuredDiameter-nominalDiameter.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| tipDiameter | Tip Diameter | Required. Finite number; minimum 0. |
| taperPerLength | Diameter increase per unit distance from the tip, not radius increase. | Required. Finite number; minimum 0. |
| distanceFromTip | Distance From Tip | Required. Finite number; minimum 0. |
| measuredDiameter | Measured Diameter | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| nominalDiameter | Nominal Diameter | Required. Finite number. |
| gap | Signed difference from the stated reference, using compatible units. | Required. Finite number. |
{
"input": {
"tipDiameter": 0.2,
"taperPerLength": 0.05,
"distanceFromTip": 4,
"measuredDiameter": 0.5
},
"output": {
"nominalDiameter": 0.4,
"gap": 0.09999999999999998
}
}Limitations and assumptions
- Taper is diameter change per length, not angle or radius taper. A uniform linear bench model does not establish actual instrument geometry, conformance or suitability for treatment.
- 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 Taper Diameter Term
localDiameter = tipDiameter+taperPerLength*distance; endDiameter uses segmentLength; radiusIncrease = taperPerLength*distance/2.
- Endodontic File Bench Torque Radius Factor
tangentialForce = torque/radius; forcePerArm = torque/(radius*momentArms).