Gear Modulus Formula:
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Gear modulus is a fundamental parameter in gear design that represents the size of the gear teeth. It is defined as the ratio of the pitch diameter to the number of teeth and is typically measured in millimeters.
The calculator uses the gear modulus formula:
Where:
Explanation: The module determines the size and strength of gear teeth, with larger modules indicating larger and stronger teeth.
Details: Accurate module calculation is crucial for proper gear meshing, power transmission efficiency, and ensuring compatibility between mating gears in mechanical systems.
Tips: Enter pitch diameter in millimeters and number of teeth as a whole number. Both values must be positive (pitch diameter > 0, number of teeth ≥ 1).
Q1: What is the relationship between module and tooth size?
A: Module directly determines tooth size - larger module means larger teeth, which can transmit more power but may require more space.
Q2: Are there standard module values?
A: Yes, modules are typically standardized values (e.g., 1, 1.25, 1.5, 2, 2.5, 3, etc.) to ensure compatibility between gears from different manufacturers.
Q3: How does module affect gear performance?
A: Larger modules provide stronger teeth but may increase noise and require more material. Smaller modules allow for more compact designs but with reduced load capacity.
Q4: Can modules be mixed in a gear system?
A: No, mating gears must have the same module to properly mesh and transmit motion smoothly without interference or excessive wear.
Q5: How is module related to diametral pitch?
A: Module is the metric equivalent of diametral pitch (used in imperial systems), with module = 25.4 / diametral pitch.