Claim Validation — Power = Force × Velocity: Why We Measure Watts, Not Just Reps

Companion to power-force-velocity-watts.md. Legend & severity in _claims/README.md. Bottom line: The physics and exercise-science spine of this post (P = F·v, watts = J/s, the force–velocity–power relationship as the backbone of S&C, strength-only training leaving the velocity half under-trained) is textbook-correct and well-sourced. Product specs (speed ranges, CMTS report suite, 80 data fields) match the catalogue and only need client confirmation. The single hard blocker is the “roughly ninety percent of isotonic systems measure strength only” figure — it has no public source and must be reframed as “most” or removed before the post can leave noindex. One catalogue-level speed-range wording (“span variable speed ranges such as 2–800 deg/sec on the Torso and Knee”) should be reconciled, since the catalogue lists the Knee at 10–800, not 2–800.

Claims

1. Power = Force × Velocity (mechanical power definition) · 🔴 · ✅ VALIDATED

  • In post: “Power has a simple, exact definition. It is the product of the force you produce and the velocity at which you produce it: Power = Force × Velocity” (also: “Force multiplied by that constant velocity equals your power output”).
  • Finding: Textbook physics. Mechanical power generated by a force on a moving body is the dot product of force and velocity (P = F·v). In one dimension this reduces to P = F × v. Valid as instantaneous or for constant-velocity cases. The biomechanics/exercise-science literature uses the same convention.
  • Evidence:
    • Wikipedia — Power (physics) — “the mechanical power generated by a force F on a body moving at the velocity v can be expressed as the product: P = dW/dt = F · v … In one dimension, this can be simplified to: P(t) = F · v.” Also lists “P = F·v” as a standard derivation. (type: encyclopaedic reference)
    • Physiopedia — Strength Training versus Power Training — “The physical formula of power is Power = Force multiplied by velocity or Power = Work/time.” (type: clinical reference, secondary)
  • Recommendation: KEEP. Optionally CITE Wikipedia / a textbook to ground the “exact definition” framing.
  • Notes: For rotational movements (the Torso machine, and isokinetic dynamometry generally), the precise convention is P = torque × angular velocity. The post states P = F × v throughout, which is the linear form. This is not wrong (linear power is the lay-readable framing), but for a post centred on rotational isokinetic machines the company may wish to add a one-line note that rotational power is torque × angular velocity — see claim 2.

2. Rotational power convention (implicit in isokinetic/Torso framing) · 🟠 · ✅ VALIDATED

  • In post: (Implicit) The post applies P = F × v to isokinetic machines, including the rotational Torso machine (“high-speed rotation against resistance”), and describes the machine reading “force” against “constant velocity.”
  • Finding: Rotational mechanical power is the product of torque and angular velocity (P = τ·ω). This is the convention used in isokinetic dynamometry, where “force” is reported as torque and “velocity” as angular velocity (deg/sec). The post’s linear framing is acceptable for lay readers but technically imprecise for rotational joints.
  • Evidence:
    • Wikipedia — Power (physics) — “The output power of a motor is the product of the torque that the motor generates and the angular velocity of its output shaft … In rotational systems, power is the product of the torque τ and angular velocity ω, P(t) = τ · ω.” (type: encyclopaedic reference)
  • Recommendation: KEEP (optional). Consider a single clarifying clause, e.g. “For rotational movements — a knee extension, a torso rotation — power is torque × angular velocity, the same principle expressed for joints.” This tightens the physics and pre-empts a technically-literate reader (clinician, sports scientist) noticing the linear-only framing.
  • Notes: Not a correctness blocker; ACCC risk is low because the underlying physics is right either way.

3. 1 watt = 1 joule per second · 🟢 · ✅ VALIDATED

  • In post: “A watt is one joule per second — a direct, time-based measure of work.”
  • Finding: Exact SI definition.
  • Evidence:
    • Wikipedia — Watt — “The watt (symbol: W) is the unit of power or radiant flux in the International System of Units (SI), equal to 1 joule per second or 1 kg⋅m²⋅s⁻³.” (type: encyclopaedic reference, via WebSearch result summary)
  • Recommendation: KEEP. Optionally CITE.
  • Notes: The post’s framing of watts as “the honest currency” / “a direct, time-based measure of work” is a fair lay summary of power = rate of doing work.

4. Force–velocity–power relationship is the backbone of S&C · 🔴 · ✅ VALIDATED

  • In post: “This is standard exercise science, not marketing. The force–velocity–power relationship is the backbone of how strength and conditioning coaches think about explosive output.”
  • Finding: Directly supported by authoritative S&C educational sources. The force–velocity curve is described as foundational (“paramount,” “vital for any strength and conditioning coach”) and power as “a key determinant in the performances of many sports.”
  • Evidence:
    • Science for Sport — Force-Velocity Curve — “Understanding the interaction between force and velocity and their influences on exercise selection is vital for any strength and conditioning coach … Understanding the force-velocity curve is paramount to working as a strength and conditioning specialist, and explicit understanding is essential to becoming a great coach.” And: “As power is a key determinant in the performances of many sports, optimising an athlete’s power production is of great importance.” (type: S&C educational reference, peer-reviewed citations)
    • Cormie, P., Deane, R., & McGuigan, M. R. (2011). Developing Maximal Neuromuscular Power — Part 1, Sports Medicine, 41(1), 17–38 — Seminal two-part review establishing maximal muscular power as influenced by force–velocity relationships and neuromuscular factors. (type: peer-reviewed review; reference confirmed via ResearchGate/WebSearch, not fetched verbatim)
  • Recommendation: KEEP. Optionally CITE Science for Sport or NSCA/JSCR.
  • Notes: The “not marketing” self-defence is accurate; the claim is defensible.

5. Reps = volume, load = force; neither captures speed; strength-only training can plateau power · 🔴 · ✅ VALIDATED

  • In post: “Reps tell you volume. Load tells you force. Neither tells you how fast that force was produced — which is precisely what determines athletic performance … An athlete who trains only for strength can plateau exactly where sport demands explosiveness.”
  • Finding: Supported by the S&C literature. Strength and power are explicitly distinguished as different qualities; strength-only (one end of the force–velocity curve) training can improve force while reducing contractile velocity, and combined strength-and-power programmes outperform strength- or speed-only programmes for athletic performance.
  • Evidence:
    • Science for Sport — Force-Velocity Curve — “By only training on one part of the force-velocity curve (e.g. maximum strength), it is likely that the athlete will only improve their performance at that section on the paradigm … only training maximal strength may lead to improvements in force production, but it may also result in a reduction in muscle contractile velocity. As training programmes that combine strength and power training have been repeatedly shown to improve athletic performance more than strength or speed training alone.” (type: S&C educational reference, peer-reviewed citations)
    • Physiopedia — Strength Training versus Power Training — “The main difference between Power Training vs Strength Training is, that strength refers to the ability to overcome resistance, while power refers to the ability to overcome resistance in the shortest period of time.” (type: clinical reference, secondary)
  • Recommendation: KEEP. Optionally CITE.
  • Notes: The word “plateau” is a reasonable lay rendering of “may result in a reduction in muscle contractile velocity” / diminishing transfer of max-strength gains to explosive performance. Acceptable.

6. Power predicts explosive sport performance (the “number that decides the game”) · 🔴 · 🟡 SUPPORTED-IN-PART

  • In post: “in sport, the number that decides whether you win a contested ball, close a gap, or explode off the line is power, not raw strength … power is what wins the moments that decide matches, races, and trials.”
  • Finding: The underlying principle — that power output is a key determinant of explosive athletic performance (jumping, sprinting, throwing, changes of direction) — is well established. The specific framing that power is the single deciding number (over strength, technique, RFD, reactive strength, etc.) is an over-simplification; the literature treats power as a key determinant, not the sole one.
  • Evidence:
  • Recommendation: 🔧 SOFTEN. The marketing voice is fine, but to be ACCC-defensible keep the framing as “a” decisive variable / “one of” rather than the single deciding number. Suggested rewording: “in sport, a number that decides whether you win a contested ball … is power, not raw strength alone.” (One-word change: “the” → “a”.)
  • Notes: Low risk as written (it reads as persuasive copy, not a literal sole-cause claim), but the YMYL/competition-sport framing makes it worth a light hedge.

7. “roughly ninety percent of isotonic systems measure strength only” · 🔴 · ⚠️ UNVERIFIED-EXTERNAL

  • In post: “According to our catalogue, that approach measures and rewards strength units in roughly ninety percent of isotonic systems.”
  • Finding: This figure traces to the company’s own catalogue text (“increased power output (watts). This is a separate function aside from strength units gained, which is the case of ninety percent of isotonic systems”). No public, peer-reviewed, or industry-statistics source for a “90% of isotonic systems measure strength only” figure was found. Searches across fitness-equipment, exercise-science, and isokinetic-testing literature returned no matching statistic. It is a company/positioning claim, not a verifiable external fact.
  • Evidence:
    • Catalogue (internal source of truth): velocity-catalogue-content.txt p.2 — “increased power output (watts). This is a separate function aside from strength units gained, which is the case of ninety percent of isotonic systems.” (type: company catalogue)
    • External search: WebSearch for “90% / ninety percent of isotonic systems measure strength only” returned no matching public source (results were unrelated: a Facebook training group, an AHA exercise-testing standards paper, an isokinetic-testing paper using “90%” as a limb-symmetry benchmark). (type: null result)
  • Recommendation: 🔧 SOFTEN / REMOVE before leaving noindex. Either:
    • drop the specific percentage and write “most conventional isotonic systems measure and reward strength units only,” or
    • attribute explicitly: “in our view, the majority of isotonic systems …” Do not present “90%” as an established external statistic.
  • Notes: The post’s own > RESEARCH NEEDED block already flags this correctly; the recommendation here formalises it. The underlying qualitative point (most isotonic equipment tracks load/reps, not velocity-derived power) is reasonable and defensible — it’s the specific quantification that is unsourced.

8. Torso/Knee speed range “2–800 deg/sec”; Grand Velocity “2–600 deg/sec” · 🟢 · 🟡 SUPPORTED-IN-PART (catalogue reconciliation needed)

  • In post: “our machines span variable speed ranges such as 2–800 deg/sec on the [Torso] and [Knee] machines, and 2–600 deg/sec on the Grand Velocity Machine.”
  • Finding: Catalogue confirms Torso = “Variable Speed Control (2 deg/sec to 800 deg/sec)” and Grand Velocity Machine = “Variable Speed Control (2 deg/sec - 600 deg/sec)” verbatim. However, the catalogue lists the Knee at “Variable Speed Control (10 deg/sec - 800 deg/sec)”, not 2–800. The post’s grouping of “Torso and Knee” at 2–800 is therefore off for the Knee (lower bound 10, not 2).
  • Evidence:
    • Catalogue — Torso (p.22): “Variable Speed Control (2 deg/sec to 800 deg/sec)”. (🟢 SPEC)
    • Catalogue — Knee (p.17): “Variable Speed Control (10 deg/sec - 800 deg/sec)”. (🟠 SPEC — conflicts with post)
    • Catalogue — Grand Velocity Machine (p.16): “Variable Speed Control (2 deg/sec - 600 deg/sec)”. (🟢 SPEC)
  • Recommendation: CONFIRM-CLIENT and fix the Knee figure. Suggested: “2–800 deg/sec on the Torso, 10–800 deg/sec on the Knee, and 2–600 deg/sec on the Grand Velocity Machine.”
  • Notes: Minor factual error in the post; low severity but trivially correctable against the catalogue.

9. CMTS report suite: Strength, Torque, Endurance, Power, ROM, Comparison · 🟢 · 🟢 SPEC → CONFIRM-CLIENT

  • In post: “Each machine produces the same report suite: Strength, Torque, Endurance, Power, Range of Motion, and Comparison.”
  • Finding: Matches the catalogue for the multi-function machines (Velocity Machine, Ferocity Multi, Hip, Grand Velocity, Knee, Torso, Transformer all list “STRENGTH | TORQUE | ENDURANCE | POWER | RANGE OF MOTION | COMPARISON”). Two caveats: (a) the Ankle Machine lists a reduced suite (“STRENGTH | POWER | RANGE OF MOTION”); (b) the Hip adds “KPI INDICATORS.” The blanket “each machine produces the same report suite” is therefore slightly over-broad.
  • Evidence:
    • Catalogue — every full-feature machine (pp.8, 12, 15, 16, 17, 22, 23): “STRENGTH | TORQUE | ENDURANCE | POWER | RANGE OF MOTION | COMPARISON”. (🟢 SPEC)
    • Catalogue — Ankle Machine (p.10): “STRENGTH | POWER | RANGE OF MOTION” (reduced). (🟠 SPEC)
    • Catalogue — Hip (p.15): adds “KPI INDICATORS”. (🟠 SPEC)
  • Recommendation: CONFIRM-CLIENT. Soften “each machine” to “each full-feature machine” or “our multi-function machines” to cover the Ankle exception, and decide whether to mention the Hip’s extra KPI indicators.
  • Notes: Low severity; the six-report suite is accurate for the machines the post’s hero image (Torso) and links (Torso, Knee, Grand Velocity) actually reference.

10. “80 individual fields of data” (Grand Velocity Machine) · 🟢 · 🟢 SPEC → CONFIRM-CLIENT

  • In post: (via inline > RESEARCH NEEDED block) “The Grand Velocity Machine is listed as displaying 80 individual fields of data; verify the full field set and export formats … with the client before detailing.”
  • Finding: Catalogue lists Grand Velocity Machine feature “Displays 80 Individual Fields of Data” verbatim. The post correctly flags this for client verification rather than asserting it as a hard spec.
  • Evidence:
    • Catalogue — Grand Velocity Machine (p.16), Features: “Displays 80 Individual Fields of Data”. (🟢 SPEC)
  • Recommendation: CONFIRM-CLIENT. The post already handles this correctly (flagged, not asserted). Before any future expansion of that section, confirm the exact field set and export formats (CSV/PDF) with the client.
  • Notes: No change needed for the current draft.

Open items for client / clinician / legal

  • [Blocker — legal/ACCC] Claim 7: the “roughly ninety percent of isotonic systems measure strength only” figure has no public source. Reframe as “most” or remove the percentage before the post leaves noindex. The qualitative point (isotonic equipment tracks load/reps, not velocity-derived power) is fine to keep.
  • [Factual fix] Claim 8: the Knee machine’s catalogue speed range is 10–800 deg/sec, not 2–800. The post’s “2–800 on the Torso and Knee” is incorrect for the Knee; correct to “2–800 on the Torso, 10–800 on the Knee.”
  • [Accuracy] Claim 9: “each machine produces the same report suite” is over-broad — the Ankle Machine has a reduced suite (Strength/Power/ROM only) and the Hip adds “KPI Indicators.” Consider “each full-feature machine.”
  • [Optional physics polish] Claims 1–2: for a post centred on rotational isokinetic machines, consider one clarifying line that rotational power = torque × angular velocity (the joint-specific form of P = F·v). Not a blocker.
  • [Optional hedge] Claim 6: “the number that decides” → “a number that decides,” to keep the power-as-decisive-variable framing defensibly as “a key determinant” rather than the sole cause.
  • [Client confirmation] Claims 9–10: confirm the exact CMTS report fields and the Grand Velocity “80 fields” set / export formats before any future post expands on them.