Gear Module Calculator

Formula

To calculate the Gear Module (M):

\[ M = \frac{D}{N} \]

Where:

\(M\) is the Gear Module (mm)
\(D\) is the Pitch Diameter (mm)
\(N\) is the Number of Teeth

What is Gear Module?

Gear module is a unit of measure that indicates the size of the teeth in a gear. It is defined as the ratio of the pitch diameter to the number of teeth. The module determines the size of the gear tooth and the gear’s pitch circle. It is a critical parameter in gear design and is used to ensure that gears mesh correctly and operate smoothly.

Example Calculation

Let's assume the following values:

Pitch Diameter (\(D\)) = 100 mm
Number of Teeth (\(N\)) = 20

Using the formula:

\[ M = \frac{100}{20} = 5 \text{ mm} \]

The Gear Module is 5 mm.