EngiRef / Formulas

Gear Ratio

Ratio of gear teeth or angular velocities

Machine Design

Source Details

Id

mech-gear-ratio

Name

Gear Ratio

Discipline

mechanical

Category

Machine Design

Latex

GR = \frac{N_2}{N_1} = \frac{\omega_1}{\omega_2}

Description

Ratio of gear teeth or angular velocities

Conditions

Ideal gear pair with no slip; ratio shown is magnitude

Variables
[
  {
    "symbol": "GR",
    "name": "Gear Ratio",
    "unit": "",
    "siUnit": ""
  },
  {
    "symbol": "N₂",
    "name": "Driven Gear Teeth",
    "unit": "",
    "siUnit": ""
  },
  {
    "symbol": "N₁",
    "name": "Driving Gear Teeth",
    "unit": "",
    "siUnit": ""
  }
]
Solve For

GR, N₂, N₁

Tags

gear, ratio, teeth, transmission

Is Custom

false