This tool helps you calculate gear ratios and related parameters for your mechanical projects.

## How to Use the Gear Calculator

To use the gear calculator, you need to input the following values:

**Teeth on Gear 1:**Enter the number of teeth on the first gear.**Teeth on Gear 2:**Enter the number of teeth on the second gear.**RPM of Gear 1:**Enter the revolutions per minute (RPM) of the first gear.

After entering these values, click on the “Calculate” button. The RPM of the second gear will be calculated and displayed in the result field.

## How It Calculates

The calculation is based on the gear ratio formula:

`RPM of Gear 2 = (Teeth on Gear 1 / Teeth on Gear 2) * RPM of Gear 1`

This formula takes the number of teeth on each gear and the RPM of the first gear to determine the RPM of the second gear.

## Limitations

This calculator assumes that there is no slippage and the gears are perfectly efficient. In real-world applications, these factors can affect the actual RPM of the second gear.

## Use Cases for This Calculator

### Calculate Gear Ratio

Enter the number of teeth on the input and output gears to determine the gear ratio. This will help you understand how much the input gear rotates compared to the output gear.

### Find Speed Ratio

Input the angular velocities of the input and output gears to find the speed ratio. This calculation is crucial for understanding how the speed of the output gear compares to the speed of the input gear.

### Determine Gear Inches

By inputting the gear size and tire diameter, you can calculate the gear inches. This measurement helps cyclists understand the effective size of the gear when pedaling.

### Compute Development

Enter the gear inches and pedal RPM to calculate the development. This metric will show you how far your bike will travel with one full pedal rotation.

### Estimate Speed at RPM

Input the development and pedal RPM to estimate the speed of your bike. This calculation is useful for predicting your speed based on pedaling cadence.

### Calculate Cadence at Speed

Enter the speed and gear inches to determine the optimal cadence required for maintaining that speed. This is essential for cyclists looking to optimize their pedaling efficiency.

### Find RPM at Speed

Input the development and speed to calculate the required pedal RPM. This helps cyclists maintain a consistent speed by adjusting their pedaling cadence accordingly.

### Convert Gear Ratio to Percentage

Input the gear ratio to convert it into a percentage. This calculation provides a quick way to understand the proportional relationship between the input and output gears.

### Calculate Torque Ratio

Enter the torque values for the input and output gears to determine the torque ratio. This calculation is crucial for analyzing the transfer of power between gears in a mechanical system.

### Compute Efficiency Loss

Input the input and output powers to calculate the efficiency loss. This calculation helps in understanding the amount of power lost due to friction and inefficiencies in the gear system.