Sprocket Pitch Diameter Calculator


Looking to design or select the perfect sprocket for your chain drive system? Then you have come to the right place. Whether you're a seasoned engineer or a DIY enthusiast, our easy-to-use sprocket pitch diameter calculator will help you determine the right pitch diameter for your sprocket, ensuring optimal performance and longevity for your chain drive system.

No more guesswork or complicated calculations – with our sprocket pitch diameter calculator, you'll be able to select the perfect sprocket with confidence and ease. So, what are you waiting for? Let's get started!

Sprocket Pitch Diameter Calculator


What is Sprocket Pitch Diameter?


The sprocket pitch diameter is a critical dimension of a sprocket that defines the size and compatibility of the sprocket with other components in a chain drive system.

The pitch diameter of a sprocket is the diameter of the circle that passes through the center of the chain links, or the distance from the center of one tooth to the center of the opposite tooth on the same sprocket.

It's an important dimension to know when designing and selecting sprockets, as it determines the length of the chain needed for a particular application.

In chain drive systems, the pitch diameter of a sprocket must match the pitch of the chain, which is the distance between the centers of two adjacent pins on the chain. If the pitch diameter and pitch of the sprocket and chain don't match, the chain won't mesh properly with the sprocket, leading to poor performance, wear, and potentially catastrophic failure. Therefore, it's essential to select sprockets with the correct pitch diameter to ensure the smooth and reliable operation of chain drive systems.

How to Calculate Sprocket Pitch Diameter

Calculate sprocket pitch diameter by using the number of teeth on the sprocket and the pitch of the chain. The pitch of the chain is the distance between the centers of two adjacent pins on the chain.

The formula to calculate the sprocket pitch diameter is:

Pitch Diameter = (Number of Teeth / Pitch) x 25.4


  • Number of Teeth: The number of teeth on the sprocket.
  • Pitch: The pitch of the chain, measured in inches.
  • 25.4: Conversion factor to convert inches to millimeters.

For example, let's say you have a sprocket with 20 teeth and the pitch of the chain is 0.5 inches. Using the formula above, we can calculate the pitch diameter as follows:

Pitch Diameter = (20 / 0.5) x 25.4 Pitch Diameter = 508 mm

Therefore, the pitch diameter of this sprocket is 508 mm.

It's important to note that the pitch diameter is not the same as the actual diameter of the sprocket. The pitch diameter is the effective diameter of the sprocket that determines the pitch of the chain and the compatibility with other components in the chain drive system.

Explore our Sprockets Catalog Now

Let Torque Transmission help with your sprocket needs. Browse our selection of sprockets to explore our different options, or contact us now. Our team would love to help address your needs.

This post was published on August 9, 2023 and updated on August 11, 2023.

Topics: Torque Solutions Sprockets