Gears Calculators
Design spur, helical, bevel, planetary and worm gears: involute tooth geometry from module or diametral pitch and pressure angle (with DXF export), gear and tooth ratios, helical center distance, pitch cone angles, module, mesh forces, and vehicle speed from a gear ratio and tire size.
Gear Generator
Generate an involute spur gear profile with live preview and DXF export.
Gear DXF Generator
Generate an involute spur gear DXF for CAD/CAM from module or diametral pitch.
Spur Gear
Spur gear geometry, undercut warning, center distance and DXF export.
Involute Gear
Tooth geometry from module/DP and pressure angle, with a tooth-profile render and DXF export.
Gear Tooth
Involute spur gear tooth thickness, addendum, dedendum, whole depth and undercut margin.
Gear Ratio
Gear ratio with output RPM, torque and vehicle speed from tire size.
Gear Center Distance
Spur gear center distance from module/DP and two tooth counts.
Gear Pitch
Convert module, diametral pitch and circular pitch, plus pitch diameter.
Pitch Diameter
Gear pitch diameter from module, DP or circular pitch and tooth count.
Gear Module
Module from pitch diameter and teeth, with diametral and circular pitch.
Gear Tooth Ratio
Single- or two-stage gear-train ratio and output speed from tooth counts.
Planetary Gear
Epicyclic gear ratio for ring-, sun- or carrier-fixed arrangements.
Worm Gear
Worm drive ratio, center distance, lead angle and self-locking check.
Bevel Gear
Straight bevel gear ratio, pitch cone angles, cone distance, face width, RPM and torque.
Helical Gear
Parallel-shaft helical gear ratio, transverse module, pitch diameters, center distance, axial pitch and lead.
Gear Mesh Force
Tangential, radial and axial tooth loads from torque, pitch diameter, pressure angle, helix angle and service factor.
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These tools cover the gear math working engineers and gearheads actually need, from a quick ratio to full tooth geometry. The gear ratio calculator goes past the bare z₂/z₁ number: feed it an input RPM, torque and a drive-wheel diameter and it returns output shaft speed n₂ = n₁/i, torque rise T₂ = T₁·i, and road speed at that gear. The gear center distance calculator then turns module or diametral pitch and two tooth counts into a = m·(z₁+z₂)/2, with pitch diameters shown for layout.
The involute gear calculator builds standard full-depth ISO/AGMA geometry from module or diametral pitch and pressure angle and exports a real DXF tooth profile. For angled teeth, the helical gear calculator converts normal module to transverse module with mt = mn/cos(beta), then returns pitch diameters, center distance, axial pitch and lead. The gear mesh force calculator converts torque, pitch diameter, pressure angle and helix angle into tangential, radial and axial loads for shaft and bearing checks. For right-angle layouts, the bevel gear calculator returns ratio, pitch cone angles, cone distance and face-width guide for straight bevel pairs. Pitch/module pages handle d = m·z, circular pitch and DP conversions.
Every result shows its formula and the governing standard — no quote gate, no shallow physics widget. New to ratios? Start with our how to calculate gear ratio guide. Metric and imperial throughout.