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