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Sprocket Diameter Calculator Online

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The Sprocket Diameter Calculator is an indispensable tool for gear mechanics and engineers alike. It simplifies the process of determining the diameter of a sprocket, a crucial component in various mechanical systems such as bicycles, motorcycles, industrial machinery, and more.

Formula of Sprocket Diameter Calculator

Pitch Diameter Calculation:

The pitch diameter (D) of a sprocket can be calculated using the formula:

D = N * P / π

Where:

  • D: Pitch diameter
  • N: Tooth count
  • P: Pitch diameter of the chain or belt

Once the pitch diameter is obtained, the sprocket diameter can be calculated using:

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Sprocket Diameter Calculation:

Sprocket Diameter = D + 2 * Tooth Height

Where:

  • D: Pitch diameter
  • Tooth Height: Distance from the pitch diameter to the tip of the tooth

Now, let’s delve into an example to better understand the practical application of this calculation.

General Terms Table

Here are some general terms that users commonly search for when dealing with sprocket calculations:

Chain/Belt PitchTypical Tooth CountsPre-calculated Diameters (for reference)
0.25 inches10, 12, 142.51, 3.02, 3.53
0.375 inches18, 20, 226.81, 7.54, 8.27
0.5 inches24, 28, 3212.57, 14.13, 15.69
0.625 inches36, 40, 4422.62, 25.15, 27.68

Example of Sprocket Diameter Calculator

Let’s consider a scenario where we have a sprocket with 20 teeth and a chain pitch of 10 mm. Using the provided formulae:

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Step 1: Calculate Pitch Diameter

D = 20 * 10 / π ≈ 63.66 mm

Step 2: Calculate Sprocket Diameter

Assuming a tooth height of 5 mm:

Sprocket Diameter = 63.66 + 2 * 5 = 73.66 mm

So, the diameter of the sprocket would be approximately 73.66 mm.

Frequently Asked Questions (FAQs)

Q: How do I use the Sprocket Diameter Calculator?

A: Simply input the tooth count and chain pitch values into the calculator, and it will provide you with the sprocket diameter.

Q: Can I use the Sprocket Diameter Calculator for any type of gear system?

A: While the calculator is primarily designed for sprockets, you can adapt the formulae for other gear systems with similar characteristics.

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