Description
Ideal supplied gravitational work and reference-height equivalents without a rehabilitation exercise prescription.
Movement research distinguishes elapsed time, active time, cycle phase, measured force, and assessment-score conventions. Normalizing or remapping these quantities can help compare records when their units and definitions agree. A local arithmetic term does not by itself validate a functional assessment or an exercise program.
Ideal supplied gravitational work and reference-height equivalents without a rehabilitation exercise prescription.
When to use this tool
Use Rehab Step Work Reference Height when you need this motion, timing, force, annotation, or score-mapping component for supplied research records.
How to use the tool and how it works
- Enter mass, suppliedGravity, stepHeights, referenceHeight. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read work, referenceStepEquivalent. Use the output convention below.
For nonnegative mass, suppliedGravity, and stepHeights and positive referenceHeight return work=mass*suppliedGravity*sum(stepHeights) and referenceStepEquivalent=sum(stepHeights)/referenceHeight.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| mass | Mass in a consistent unit for the stated model. | Required. Finite number; minimum 0. |
| suppliedGravity | Supplied Gravity | Required. Finite number; minimum 0. |
| stepHeights | Step Heights | Required. Array of finite number; maximum items 256. |
| referenceHeight | Reference Height | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| work | Work | Required. Finite number. |
| referenceStepEquivalent | Reference Step Equivalent | Required. Finite number. |
{
"input": {
"mass": 20,
"suppliedGravity": 10,
"stepHeights": [
0.1,
0.2
],
"referenceHeight": 0.1
},
"output": {
"work": 60.00000000000001,
"referenceStepEquivalent": 3.0000000000000004
}
}Limitations and assumptions
- Use consistent mass, length, and time units; kg, m, and m/s^2 give joules. This ideal lifting work omits metabolic cost, descent, movement mechanics, and exercise safety.
- 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 the intended assessment or motion-analysis protocol with verified timing, units, and event annotations. A complete interpretation needs the relevant measurement properties and task context beyond this local calculation.
References
Similar or alternative tools
- Physiotherapy Step Height Work Term
Ideal supplied step-lifting work with an explicit conversion efficiency.
- Force Impulse Unit Factor
For positive forceUnitFactor and timeUnitFactor return convertedImpulse=impulse*forceUnitFactor*timeUnitFactor.