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 ratiois expressed as the number of teeth on thedriven gear(output) divided by the number of teeth on thedriving gear(input). This ratio indicates how much therotational speedchanges 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 gear**

When you have a **driving gear** with 20 teeth and a **driven gear** with 40 teeth, the gear ratio would be:

**Gear Ratio = 40 / 20 = 2:1**

**This 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 = 3:1**

**This ratio indicates that the driving gear must make three complete rotations for the driven gear to make one complete rotation.**