A simple gear ratio calculator is a tool used in mechanics and engineering to determine the relationship between two gears in a system. It helps calculate how many rotations one gear makes in relation to another, which is crucial for designing and understanding various mechanical systems, from bicycles to complex machinery.
The gear ratio is expressed as the number of teeth on the driven gear (output) divided by the number of teeth on the driving gear (input). This ratio indicates how much the rotational speed changes between the two gears.
Simple Gear Ratio Calculation Chart
| Driving Gear Teeth | Driven Gear Teeth | Gear Ratio | Simplified Ratio | Speed Relationship | Torque Relationship |
|---|---|---|---|---|---|
| 20 | 40 | 40:20 | 2:1 | Slower | Higher torque |
| 30 | 60 | 60:30 | 2:1 | Slower | Higher torque |
| 25 | 75 | 75:25 | 3:1 | Much slower | Much higher torque |
| 40 | 20 | 20:40 | 1:2 | Faster | Lower torque |
| 60 | 30 | 30:60 | 1:2 | Faster | Lower torque |
| 50 | 50 | 50:50 | 1:1 | Same speed | Same torque |
| 15 | 45 | 45:15 | 3:1 | Much slower | Much higher torque |
| 45 | 15 | 15:45 | 1:3 | Much faster | Much lower torque |
| 24 | 36 | 36:24 | 3:2 | Slightly slower | Slightly higher torque |
| 36 | 24 | 24:36 | 2:3 | Slightly faster | Slightly lower torque |
Simple Gear Ratio Calculation Formula
The simple gear ratio formula is:
Gear Ratio = Number of teeth on driven gear / Number of teeth on driving gearWhen you have a driving gear with 20 teeth and a driven gear with 40 teeth, the gear ratio would be:
Gear Ratio = 40 / 20 = 2:1This means that for every one complete rotation of the driving gear, the driven gear will make half a rotation.
How Do You Calculate the Simple Gear Ratio?
To calculate the simple gear ratio:
- Count the number of teeth on both gears.
- Divide the number of teeth on the driven gear by the number of teeth on the driving gear.
- Simplify the ratio if possible.
- Driving gear: 15 teeth
- Driven gear: 45 teeth
Gear Ratio = 45 / 15 = 3:1This ratio indicates that the driving gear must make three complete rotations for the driven gear to make one complete rotation.