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如何计算Gear Ratio

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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

分步指南

  1. 1Ratio = N_input / N_output = N_driven / N_driver = T_output / T_input
  2. 2Spur gears: ratio = number of teeth on driven / number on driver
  3. 3Power is conserved: P = T × ω

例题解析

输入
Input 1800 rpm, output 600 rpm
结果
Gear ratio = 3:1 (3× speed reduction, 3× torque increase)
Power unchanged

常见错误注意事项

  • Confusing speed ratio with force multiplication
  • Neglecting friction losses in extended calculations

常见问题

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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