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Sprocket Pitch Diameter Calculator

Pitch Diameter Formula:

\[ PD = \frac{P}{\sin\left(\frac{180°}{N}\right)} \]

inches
teeth

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1. What is Sprocket Pitch Diameter?

The pitch diameter of a sprocket is the diameter of the imaginary circle that passes through the centers of the chain pins as the chain wraps around the sprocket. It's a critical dimension in chain drive systems.

2. How Does the Calculator Work?

The calculator uses the pitch diameter formula:

\[ PD = \frac{P}{\sin\left(\frac{180°}{N}\right)} \]

Where:

Explanation: The formula accounts for the geometric relationship between chain pitch and sprocket tooth count.

3. Importance of Pitch Diameter

Details: Accurate pitch diameter calculation is crucial for proper chain engagement, center distance determination, and overall drive system performance.

4. Using the Calculator

Tips: Enter chain pitch in inches and number of teeth. Both values must be positive (pitch > 0, teeth ≥ 1).

5. Frequently Asked Questions (FAQ)

Q1: What is chain pitch?
A: Chain pitch is the distance between the centers of two adjacent pins in the chain, typically measured in inches.

Q2: Why does pitch diameter matter?
A: It determines the effective diameter of the sprocket for speed ratio calculations and proper chain engagement.

Q3: Can I use this for any chain type?
A: This formula works for standard roller chains where the pitch is constant. Special chains may require different calculations.

Q4: How does tooth count affect pitch diameter?
A: More teeth result in a larger pitch diameter for the same chain pitch.

Q5: Is this the same as outer diameter?
A: No, pitch diameter is smaller than outer diameter. Outer diameter also depends on tooth form.

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