Description
Require three-component torque and axis arrays with nonzero axis norm; return axialTorque=dot(torque,axis)/norm(axis).
A mechanics calculation needs a coordinate frame, sign convention, and consistent force, length, mass, and time units. Vector projections, local balance terms, and ideal motion equations describe particular parts of a physical model. They do not automatically establish all equilibrium conditions or the validity of the model.
Require three-component torque and axis arrays with nonzero axis norm; return axialTorque=dot(torque,axis)/norm(axis).
When to use this tool
Use Torque Axis Normalized Projection when you need this particular projection, balance, frame conversion, or ideal-model component from supplied physical quantities.
How to use the tool and how it works
- Enter torque, axis. Keep parallel arrays aligned. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read axialTorque. Use the output convention below.
Require three-component torque and axis arrays with nonzero axis norm; return axialTorque=dot(torque,axis)/norm(axis).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| torque | Torque | Required. Array of finite number; maximum items 256. |
| axis | Axis | Required. Array of finite number; maximum items 256. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| axialTorque | Axial Torque | Required. Finite number. |
{
"input": {
"torque": [
2,
3,
4
],
"axis": [
0,
0,
2
]
},
"output": {
"axialTorque": 4
}
}Limitations and assumptions
- Torque is projected onto the normalized supplied axis and retains its force-times-length unit. The axis need not be pre-normalized; no torque vector is derived from forces or geometry.
- 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. Signed zero is exported as zero.
Alternative or Complementary methods
Use a complete force, motion, or energy model when a single contribution is insufficient. Check coordinate frames, idealizations, and dimensional consistency before combining calculated terms.
References
Similar or alternative tools
- Angular Momentum Axis Share
Project a supplied three-component angular momentum onto a declared axis; a zero momentum has no directional share.
- Inertia Parallel Axis Contribution
Apply the parallel-axis theorem to two parallel rotation axes separated by an explicit distance.