Home Back

Gear Module Calculation Formula

Gear Module Formula:

\[ Module = \frac{Pitch Diameter}{Number of Teeth} \]

mm
unitless

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Gear Module?

The gear module is a fundamental parameter in gear design that represents the size of the gear teeth. It is defined as the ratio of the pitch diameter to the number of teeth and is typically measured in millimeters.

2. How Does the Calculator Work?

The calculator uses the gear module formula:

\[ Module = \frac{Pitch Diameter}{Number of Teeth} \]

Where:

Explanation: The module determines the size and spacing of gear teeth, which is crucial for proper meshing between gears in a gear system.

3. Importance of Module Calculation

Details: Accurate module calculation is essential for designing gears that will mesh properly, transmit power efficiently, and operate smoothly without excessive noise or wear.

4. Using the Calculator

Tips: Enter the pitch diameter in millimeters and the number of teeth as a whole number. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between module and gear size?
A: Larger module values indicate larger gear teeth, which generally means the gear can transmit more torque but may operate at lower speeds.

Q2: Are there standard module values?
A: Yes, module values are typically standardized according to ISO and other standards to ensure compatibility between gears from different manufacturers.

Q3: How does module affect gear meshing?
A: For gears to mesh properly, they must have the same module. Mismatched modules will prevent proper engagement and cause premature failure.

Q4: Can module be converted to diametral pitch?
A: Yes, module (in mm) is approximately equal to 25.4 divided by the diametral pitch (in inches).

Q5: What are typical module values for different applications?
A: Small modules (0.5-2 mm) are used in precision instruments, while larger modules (3-10+ mm) are used in heavy machinery and automotive applications.

Gear Module Calculation Formula© - All Rights Reserved 2025