APPLET Mathematics · Yr 10, 11, 12

Bike Tools

Three interactive cycling calculators using physics models: (1) Power to Speed converter - calculates speed from watt output or power from speed, accounting for rider+bike mass, gradient, and aerodynamic position (upright, hoods, drops, or aero bars with CdA values). Shows time for 40km at calculated speed. (2) Climb Calculator - computes time, speed, power-to-weight ratio, vertical gain, and VAM (vertical metres per hour) for a climb given distance, gradient, and power output. (3) Gearing Calculator - determines speed at various cadences (70-110 rpm), gear ratio, development (metres per pedal revolution), and gear inches for specified chainring, cog, wheel/tyre size. Physics model includes rolling resistance (Crr 0.004), aero drag (air density 1.225 kg/m³), gravity, and 2.5% drivetrain loss. Responsive design with light and dark mode support.

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  • cycling
  • bike
  • power
  • speed
  • calculator
  • climb
  • gearing
  • watts
  • aerodynamics
  • physics
  • performance