Pitch Diameter Formula:
From: | To: |
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.
The calculator uses the pitch diameter formula:
Where:
Explanation: The formula accounts for the geometric relationship between chain pitch and sprocket tooth count.
Details: Accurate pitch diameter calculation is crucial for proper chain engagement, center distance determination, and overall drive system performance.
Tips: Enter chain pitch in inches and number of teeth. Both values must be positive (pitch > 0, teeth ≥ 1).
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.