1. What is Pitch Circle Radius of Pinion?

The Pitch Circle Radius of Pinion is the radial distance of the tooth measuring from the pitch circle to the bottom of the tooth space. It is a fundamental parameter in gear design that determines the size and meshing characteristics of the gear.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( r \) — Pitch Circle Radius of Pinion (m)
• \( z \) — Number of Teeth on Spur Gear
• \( m \) — Module of Spur Gear (m)

Explanation: The formula calculates the pitch circle radius by multiplying the number of teeth by the module and dividing by 2.

3. Importance of Pitch Circle Radius Calculation

Details: Accurate calculation of pitch circle radius is crucial for proper gear design, ensuring correct meshing between gears, and maintaining the desired speed and torque transmission characteristics.

4. Using the Calculator

Tips: Enter the number of teeth on the spur gear and the module of the spur gear. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of pitch circle radius in gear design?
A: The pitch circle radius determines the size of the gear and affects its meshing characteristics with other gears in the system.

Q2: How does module affect the pitch circle radius?
A: Module is a measure of tooth size. Larger module values result in larger teeth and consequently larger pitch circle radius for the same number of teeth.

Q3: Can this formula be used for both spur and helical gears?
A: This specific formula is primarily for spur gears. Helical gears require additional considerations for helix angle.

Q4: What are typical values for module in gear design?
A: Module values typically range from 0.5 to 25 mm, with common values between 1-10 mm for most industrial applications.

Q5: How does the number of teeth affect gear performance?
A: More teeth generally provide smoother operation and higher load capacity, but may require larger gear size for the same module.