Lead Angle Formula:
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The lead angle is the angle between the helix of a worm gear and a plane perpendicular to its axis. It's a critical parameter in worm gear design and manufacturing, affecting the gear's efficiency and power transmission capabilities.
The calculator uses the lead angle formula:
Where:
Explanation: The formula calculates the angle whose tangent is equal to the lead divided by the circumference of the worm.
Details: Proper lead angle calculation ensures correct gear meshing, optimal power transmission, and prevents premature wear. It's essential for determining the cutting tool angle when manufacturing worm gears.
Tips: Enter the lead (axial travel per revolution) and pitch diameter in millimeters. Both values must be positive numbers.
Q1: What's the difference between lead angle and helix angle?
A: The lead angle is the complement of the helix angle (they add up to 90°). For worm gears, we typically refer to the lead angle.
Q2: What are typical lead angle values?
A: Common lead angles range from 1° to 30°, with higher angles providing more efficiency but being harder to manufacture.
Q3: How does lead angle affect gear performance?
A: Larger lead angles generally increase efficiency but may reduce load capacity. Very small angles can cause self-locking.
Q4: Can this calculator be used for multi-start worms?
A: Yes, use the total lead (axial lead × number of starts) in the calculation.
Q5: What units should I use?
A: The calculator uses millimeters for both lead and diameter. Convert other units to mm before calculation.