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Gear ratio is the speed reduction/increase between input and output shafts. It determines torque multiplication and shaft speeds.
公式
Ratio = N_input / N_output = N_driven / N_driver = T_output / T_input
ステップバイステップガイド
- 1Ratio = N_input / N_output = N_driven / N_driver = T_output / T_input
- 2Spur gears: ratio = number of teeth on driven / number on driver
- 3Power is conserved: P = T × ω
解いた例
入力
Input 1800 rpm, output 600 rpm
結果
Gear ratio = 3:1 (3× speed reduction, 3× torque increase)
Power unchanged
避けるべきよくある間違い
- ✕Confusing speed ratio with force multiplication
- ✕Neglecting friction losses in extended calculations
よくある質問
Can any two gears mesh together?
No, they must have same pressure angle and pitch. Teeth must fit smoothly without interference.
How is efficiency handled?
Mechanical power loss (5-10%) converts to heat; P_out = P_in × η.
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