Worm & Worm Wheel Calculator
Lead angle, center distance, sliding velocity, efficiency, self-locking check
Axial Module — m
No. of Starts (Worm) — z₁
Wheel Teeth — z₂
teeth
Diameter Quotient — q ISO: 8, 10, 12.5, 16
Worm Speed — n₁
RPM
Input Torque (worm) — T₁
N·m
Coefficient of Friction — μ Bronze: 0.04–0.06
Self-locking occurs when lead angle γ ≤ friction angle φ = arctan(μ). The worm cannot be back-driven by the wheel load.
Geometry
Gear Ratio i
—
Worm PCD d₁
— mm
Wheel PCD d₂
— mm
Center Distance a
— mm
Worm Lead pz
— mm
Lead Angle γ
— °
Tip & Root Diameters
Worm Tip Diameter da₁
— mm
Worm Root Diameter df₁
— mm
Wheel Tip Diameter da₂
— mm
Wheel Root Diameter df₂
— mm
Wheel Throat Diameter dt₂
— mm
Performance
Sliding Velocity vs
— m/s
Friction Angle φ
— °
Efficiency η
— %
Self-Locking
—
Output Speed n₂
— RPM
Output Torque T₂
— N·m
Output Power P₂
— kW