Enter the pitch diameter and the number of teeth into the calculator to determine the gear module. The module is a measure of the gear tooth size and is calculated as the pitch diameter divided by the number of teeth.

Gear Module Formula

The following formula is used to calculate the gear module:

M = frac{D}{N}

Variables:

  • M is the module (mm)
  • D is the pitch diameter (mm)
  • N is the number of teeth

To calculate the gear module, divide the pitch diameter (D) by the number of teeth (N).

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.

How to Calculate Gear Module?

The following steps outline how to calculate the Gear Module:


  1. First, measure or determine the pitch diameter (D) of the gear in millimeters.
  2. Next, count the number of teeth (N) on the gear.
  3. Use the formula M = D / N to calculate the module (M).
  4. Finally, enter the values into the calculator above to verify the module.

Example Problem:

Use the following variables as an example problem to test your knowledge.

Pitch diameter (D) = 200 mm

Number of teeth (N) = 40