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Pitch Circle Diameter of Small Size Gear Calculator

Formula Used:

\[ d = m \times z \]

mm
teeth

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1. What is Pitch Circle Diameter?

The Pitch Circle Diameter of a spur gear is the diameter of the imaginary circle that rolls without slipping with the pitch circle of a meshing gear. It is a fundamental parameter in gear design that determines the gear's size and meshing characteristics.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ d = m \times z \]

Where:

Explanation: The pitch circle diameter is calculated by multiplying the module (size parameter) by the number of teeth on the gear.

3. Importance of Pitch Circle Diameter

Details: Accurate calculation of pitch circle diameter is crucial for proper gear meshing, ensuring smooth power transmission, minimizing noise and vibration, and maintaining the desired speed ratio between mating gears.

4. Using the Calculator

Tips: Enter the module value in millimeters and the number of teeth. Both values must be positive numbers (module > 0, teeth ≥ 1).

5. Frequently Asked Questions (FAQ)

Q1: What is the module of a gear?
A: The module is a fundamental gear parameter that represents the size of the gear teeth. It is defined as the ratio of the pitch diameter to the number of teeth.

Q2: How does pitch circle diameter affect gear performance?
A: The pitch circle diameter determines the gear's size, speed ratio, and torque transmission capability. Proper calculation ensures efficient power transmission and longevity.

Q3: Can this formula be used for all types of gears?
A: This specific formula is primarily used for spur gears. Other gear types (helical, bevel, worm) have different formulas for calculating pitch diameters.

Q4: What are typical module values for small gears?
A: For small size gears, module values typically range from 0.5 mm to 2.0 mm, depending on the application and required torque capacity.

Q5: How does the number of teeth affect the pitch diameter?
A: For a given module, increasing the number of teeth increases the pitch diameter proportionally, resulting in a larger gear size.

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