// multi-utility computation suite · offline · instant · precise
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│ computation suite │
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sci.power-output-cycling-Coggan Calculator
Calculates cycling power output from velocity, grade, CdA, and rolling resistance, and estimates functional threshold power (FTP) from 20-minute test power. FTP ≈ 0.95 × average 20-min power — world-class cyclists have FTP/mass > 6 W/kg; recreational cyclists 2–3 W/kg.
Inputs
Mass Kg
Total mass (kg). Distinct from weight — weight = mass × gravity. Mass is constant; weight varies with location.
Speed M S
Rate of movement. 1 m/s = 3.6 km/h = 2.237 mph.
Grade Pct
Reference formula or conversion factor shown for context.
Crr
Opposition to current flow (Ω). V = IR. Resistors in series add; in parallel their reciprocals add.
Cda M2
Two-dimensional surface extent (m²). For complex shapes, break into simpler sub-shapes and sum.
Results
total power output P (W)
The combined total across all inputs and components.
power-to-weight ratio (W/kg)
The computed weight (gravitational force) or mass.
gravity component P_g (W)
Sample size or count used in the calculation.
rolling resistance P_r (W)
Opposition to current flow (Ω). Ohm's Law: V = IR. Lower resistance means more current for the same voltage.
aerodynamic drag P_d (W)
Aerodynamic resistance opposing motion. Drag = 0.5 × rho × v^2 × Cd × A. Doubles with every 41% increase in speed (because it scales with v^2).
P = mgGv + mgCrr·v + 0.5ρCdAv³
Reference formula or conversion factor shown for context.