Description
Compute torqueZ = leverArmX × forceY - leverArmY × forceX.
Mechanics formulas relate forces, motion, energy, and geometry within a specified model. Signed coordinates and consistent units determine each component; a formula evaluation does not verify measured loads or the suitability of the physical model.
Compute torqueZ = leverArmX × forceY - leverArmY × forceX.
When to use this tool
Use Force Torque Lever Arm Sign when you need one elementary mechanics component under an explicit coordinate and unit convention.
How to use the tool and how it works
- Enter leverArmX, leverArmY, forceX, forceY. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read torqueZ, sense. Use the output convention below.
Compute torqueZ = leverArmX × forceY - leverArmY × forceX. Label positive, negative, and zero torque counterclockwise, clockwise, and zero.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| leverArmX | Lever Arm X | Required. Finite number. |
| leverArmY | Lever Arm Y | Required. Finite number. |
| forceX | Force X | Required. Finite number. |
| forceY | Force Y | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| torqueZ | Torque Z | Required. Finite number. |
| sense | Sense | Required. Text; maximum UTF-16 length 8192. |
{
"input": {
"leverArmX": 2,
"leverArmY": 0,
"forceX": 0,
"forceY": 3
},
"output": {
"torqueZ": 6,
"sense": "counterclockwise"
}
}Limitations and assumptions
- This assumes the stated planar right-handed axes; coherent meters and newtons give N·m and no structural capacity is assessed.
- 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
Check the complete physical model and consult a qualified professional when the result informs equipment or structural safety.
References
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