Gear Ratio Calculator
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⚙️ Gear Ratio Calculator

Calculate gear ratios, speed ratios, and mechanical advantage for gear systems

📐 Gear Ratio Formulas

GR = N₁/N₂ = D₁/D₂ = ω₂/ω₁
Speed Ratio = ω₁/ω₂ = N₂/N₁
Torque Ratio = T₂/T₁ = N₁/N₂
Power = T × ω
GR = gear ratio, N = number of teeth, D = diameter, ω = angular velocity, T = torque

💡 Tips

  • Gear ratio > 1 means speed reduction and torque increase
  • Gear ratio < 1 means speed increase and torque reduction
  • Power input equals power output (minus losses)
  • Consider gear efficiency in calculations
  • Worm gears provide high reduction ratios
  • Planetary gears offer multiple ratio options
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