Description
Retain an explicitly named axis and rotation handedness when assigning a scalar angular-velocity sign.
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.
Retain an explicitly named axis and rotation handedness when assigning a scalar angular-velocity sign.
When to use this tool
Use Angular Velocity Handedness Reference 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 magnitude, handedness, axis. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read signedMagnitude, referenceKey. Use the output convention below.
For nonnegative magnitude, handedness right or left, and a nonempty axis label return signedMagnitude=magnitude for right and -magnitude for left; referenceKey=JSON.stringify([axis,handedness]).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| magnitude | Magnitude | Required. Finite number; minimum 0. |
| handedness | Handedness | Required. Text; one of "right", "left"; maximum UTF-16 length 8192. |
| axis | Nonempty textual axis label; no numeric vector is accepted. | Required. Text; maximum UTF-16 length 8192. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| signedMagnitude | Signed Magnitude | Required. Finite number. |
| referenceKey | Reference Key | Required. Text; maximum UTF-16 length 8192. |
{
"input": {
"magnitude": 3,
"handedness": "right",
"axis": "+z"
},
"output": {
"signedMagnitude": 3,
"referenceKey": "[\"+z\",\"right\"]"
}
}Limitations and assumptions
- Axis is a text label rather than a vector. The output records an explicit sign convention without transforming coordinate frames or detecting physical handedness.
- 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.
- Angular Momentum Reference Point Shift
Shift angular momentum to an origin displaced by the supplied vector using L_new=L_old-displacement cross momentum.