EngiRef / Mechanical Engineering Formula
Gear Ratio
Gear Ratio: Ratio of gear teeth or angular velocities. A Machine Design formula in mechanical engineering. Variables GR, N₂ and N₁, each with SI and imperial…
Machine Design
Specification
- 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
- Can solve for
- GR, N₂, N₁
- Tags
- gear, ratio, teeth, transmission
Variables
| Symbol | Name | Unit | Si Unit |
|---|---|---|---|
| GR | Gear Ratio | — | — |
| N₂ | Driven Gear Teeth | — | — |
| N₁ | Driving Gear Teeth | — | — |