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 | - | - |
Common questions
- What is the Gear Ratio formula?
- Ratio of gear teeth or angular velocities. It sits under Machine Design, Mechanical engineering in the EngiRef reference.
- What do the symbols in the Gear Ratio formula mean?
- In Gear Ratio, GR is gear ratio; N₂ is driven gear teeth; N₁ is driving gear teeth.
- When does the Gear Ratio formula apply?
- Gear Ratio holds under this condition: Ideal gear pair with no slip; ratio shown is magnitude.