Description
tangentialForce = torque/radius; forcePerArm = torque/(radius*momentArms).
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.
tangentialForce = torque/radius; forcePerArm = torque/(radius*momentArms).
When to use this tool
Use Endodontic File Bench Torque Radius Factor when checking a supplied research or bench-model dimension.
How to use the tool and how it works
- Enter torque, radius, momentArms. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read tangentialForce, forcePerArm. Use the output convention below.
Require positive radius and positive whole momentArms. tangentialForce = torque/radius; forcePerArm = torque/(radius*momentArms). Torque and radius must use units whose quotient is force, such as N·m and m.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| torque | Torque | Required. Finite number. |
| radius | Radius | Required. Finite number; strictly above 0. |
| momentArms | Moment Arms | Required. Safe integer; minimum 1. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| tangentialForce | Tangential Force | Required. Finite number. |
| forcePerArm | Force Per Arm | Required. Finite number. |
{
"input": {
"torque": 0.2,
"radius": 0.01,
"momentArms": 2
},
"output": {
"tangentialForce": 20,
"forcePerArm": 10
}
}Limitations and assumptions
- Signed torque is permitted and equally shared arms are assumed. This ideal bench relation is not an instrument operating recommendation or a fatigue and fracture assessment.
- 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 Bench Instrument Length Tolerance Gap
deviation = measured-nominal; lowerMargin = deviation+lowerTolerance; upperMargin = upperTolerance-deviation.