Worm Gear Calculator

Worm Parameters

Axial Module m

No. of Starts (Worm) z₁

Wheel Teeth z₂

Diameter Quotient q ISO standard: 8, 10, 12.5, 16

Operating Parameters

Worm Speed n₁ RPM

Input Torque (worm) T₁ N·m

Coefficient of Friction μ Bronze wheel, lubricated: 0.04–0.06

Self-locking occurs when the 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