Skate Push Side Velocity Vector Contribution Breakdown
Actual declared-coordinate piecewise-constant skate-velocity decomposition, not causal muscular power or an inferred push-force vector. Signed lateral contributions retained; coordinate calibration and complete disjoint phases external.
Description
Skating velocity components describe movement in a declared parallel–lateral frame.
Skating velocity components describe movement in a declared parallel–lateral frame.1
Time-weighted components differ from a direct allocation of muscular power. Use this tool to calculate the stated observation or conditional model from supplied measurements.
When to use Skate Push Side Velocity Vector Contribution Breakdown
Use this tool to calculate the stated observation or conditional model from supplied measurements. Establish the measurement protocol, instrument or reference edition, matching units and observation context.
How to use Skate Push Side Velocity Vector Contribution Breakdown and understand its results
- Establish the measurement protocol, instrument or reference edition, matching units and observation context.
- Enter observedParallelVelocitiesMetersPerSecond, observedLateralVelocitiesMetersPerSecond, matchedPhaseDurationsSeconds, using the field meanings and rules below, then run the tool.
- Read result.observedParallelDisplacementMeters, result.observedLateralDisplacementMeters, result.timeWeightedParallelVelocityMetersPerSecond, result.timeWeightedLateralVelocityMetersPerSecond. Interpret each field using the units, signs and evidence rules below.
- If input validation fails, correct the reported field and run again. Before applying a successful result, check the stated reference scope, units, assumptions and any retained unknown evidence.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| observedParallelVelocitiesMetersPerSecond | Observed parallel velocities meters per second | list of number | Required |
| observedLateralVelocitiesMetersPerSecond | Observed lateral velocities meters per second | list of number | Required |
| matchedPhaseDurationsSeconds | Matched phase durations seconds | list of number | Required |
Require nonempty aligned finite parallel/lateral velocity and duration lists. Durations must be strictly positive; signed velocity components are accepted. Sum velocity×duration for each component displacement and divide by total duration for each time-weighted velocity. No vector magnitude or muscle-power allocation is computed.
parallelMeters=Σ(vParallel_i×seconds_i); lateralMeters=Σ(vLateral_i×seconds_i); weightedVelocities=componentDisplacements/Σseconds_i Apply the field units and exact ordering, boundary and evidence rules above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Structured result containing the calculation or selected reference fields below | object |
| result.observedParallelDisplacementMeters | Observed Parallel Displacement Meters; use the units, sign convention and calculation stated above | number |
| result.observedLateralDisplacementMeters | Observed Lateral Displacement Meters; use the units, sign convention and calculation stated above | number |
| result.timeWeightedParallelVelocityMetersPerSecond | Time Weighted Parallel Velocity Meters Per Second; use the units, sign convention and calculation stated above | number |
| result.timeWeightedLateralVelocityMetersPerSecond | Time Weighted Lateral Velocity Meters Per Second; use the units, sign convention and calculation stated above | number |
{
"input": {
"observedParallelVelocitiesMetersPerSecond": [
3,
4
],
"observedLateralVelocitiesMetersPerSecond": [
-1,
1
],
"matchedPhaseDurationsSeconds": [
1,
1
]
},
"output": {
"result": {
"observedParallelDisplacementMeters": 7,
"observedLateralDisplacementMeters": 0,
"timeWeightedParallelVelocityMetersPerSecond": 3.5,
"timeWeightedLateralVelocityMetersPerSecond": 0
}
}
}Limitations and assumptions
Time-weighted components differ from a direct allocation of muscular power. Results depend on the independently established measurement basis and the exact model assumptions above.
Every listed input requires an explicit value. Unexpected fields, incorrect value types, nonfinite numbers and sparse numeric arrays fail validation; tool-specific bounds and alignment rules apply as described above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful calculation that reports a false comparison or retains unknown evidence.
Alternative or Complementary methods
Use Kayak Core Rotation Versus Arm Power Contribution Note to examine a related aspect: Kayak power involves torso, limbs, paddle and boat interactions.
Use Cross Country V2 Alternate Skate Timing Gear Change where its separate inputs and scope apply: V2 and V2-alternate ski techniques differ in pole-thrust coordination across skating steps.
References
Similar or alternative tools
- Kayak Core Rotation Versus Arm Power Contribution Note
Kayak power involves torso, limbs, paddle and boat interactions.
- Cross Country V2 Alternate Skate Timing Gear Change
V2 and V2-alternate ski techniques differ in pole-thrust coordination across skating steps.