settingsMechanical Design

Gear Ratio Calculator

Calculate gear ratios, output speeds, and torques for gear systems. Essential for power transmission design.

  • check_circleGear Ratio: The ratio between driven and driver gears.
  • check_circleOutput Speed: Calculated RPM at the output shaft.
  • check_circleTorque Multiplication: Output torque with 95% efficiency.
  • check_circleDesign Validation: Verify your gear train performance.

Gear Ratio Calculator

Units:
teeth
teeth
RPM
Nm

school Theory & Formulas

Gear Ratio Formula:

Ratio = Driven Teeth / Driver Teeth

Speed: Output RPM = Input RPM / Ratio
Torque: Output Torque = Input Torque × Ratio × η

Where η = efficiency (typically 95-98%)

Conversions:
- 1 Nm = 0.7376 lb-ft
- 1 lb-ft = 1.3558 Nm