Recent Blogs
Internal Spur Gear and Pinion: Pitch Geometry Calculator | FIRGELLI
Calculate ideal fixed-axis internal gear ratio, center distance and same-direction ring speed. Tooth interference, capacity and planetary motion are not calculated.
Going Train Calculator: Clock Gear Ratios and Speeds | FIRGELLI
Calculate speeds and barrel period through four clock-train gear stages. Explore direction reversals and distinguish gear ratios from escapement timing.
Two-speed Gear: Ideal Ratio Comparison Calculator
Compare two ideal gear ratios and their speed and torque relationships. See a schematic sliding jaw clutch select between two gear paths.
Transmission of Two Speeds: Ideal Ratio Comparison
Compare two entered input-to-output speed ratios and their ideal torque multipliers. The calculator does not define a gearbox or simulate shifting.
Rotary Motion Transmission: Ideal External Spur-gear Pair
Calculate ideal speed, torque and direction ratios for one compatible external spur-gear pair. Tooth geometry, efficiency and load capacity are not evaluated.
Strain-Wave Gearing: Animation and Ratio Calculator | FIRGELLI
Explore a fixed circular spline, wave-generator input and flexspline output. Calculate tooth difference, reduction and signed output travel.
Spiral Gearing Mechanism Explained: How It Works, Parts, Spiral Bevel and Hypoid Gear Uses
Spiral gearing transmits power between non-parallel shafts with curved teeth. Learn how it works, the formulas, and where it shows up in real machinery.
Skew Worm and Wheel Gear Mechanism Explained: How It Works, Diagram, Parts and Uses
Skew worm and wheel gear explained — how the offset axis transmits power, sizing formulas, and real industrial uses in conveyors, mixers, and packaging lines.
Oblique Bevel Gear: Hiscox Right-Angle Out-of-Plane Pair
Explore Hiscox's oblique bevel-gear arrangement on right-angle, out-of-plane shafts. Calculate ideal tooth-count ratio and nominal reference diameters.
Compound Gear Train: Two-Stage Ratio and Speed Calculator | FIRGELLI
Calculate stage ratios, total ratio and ideal output speed for two external gear pairs linked by a common intermediate shaft. Includes examples and animation.
Crown Wheel Mechanism: How It Works, Diagram, Gear Ratio Formula and Uses Explained
Explore a crown wheel and perpendicular spur pinion. Compare tooth counts, input/output revolutions, speed ratio and ideal torque multiplication.
Bicycle Gear Mechanism Explained: Drivetrain Parts, Gear Ratio Formula, Diagram and Calculator
Compare bicycle chainring and rear-sprocket ratios, wheel revolutions, ideal torque factor and distance travelled per complete crank revolution.
Rack and Pinion Mechanism: How It Works, Diagram, Formula, Calculator and Real-World Uses
Rack and Pinion explained — how the gear-and-bar mechanism converts rotation to linear motion, with formulas, real automotive steering examples, and design tradeoffs.
Eccentric Crown Wheel and Pinion: Local Ratio Calculator
Explore an eccentric crown wheel and perpendicular pinion. Calculate a local ideal reduction ratio and lossless torque factor; complete tooth geometry and drive capacity are...
Two-velocity Gears on One Shaft: Alternative Speed Comparison
Compare two selectable ideal gear paths to one output shaft. Check their ratios and the tooth-count condition for a shared center distance at common module.
Spur Gears Mechanism Explained: How They Work, Parts, Diagram, Formula and Uses
Explore spur-gear motion and compare tooth-count ratios, output speed and ideal torque multiplication, with reference dimensions and a worked 5:1 example.
Spur Gear Train Mechanism: How It Works, Diagram, Formula and Calculator
How a Spur Gear Train works, the speed and torque math, real applications in machine tools, and the trade-offs versus helical and planetary alternatives.
Revolution of a Pinion: Rack Travel, Speed and Tooth-Passage Calculator
Calculate how far a straight rack travels per pinion revolution, plus ideal rack speed and tooth-passage frequency, from module, tooth count and RPM.
Planetary Motion: Exact Fixed-Ring Speed Geometry
Planetary motion in gearing — how sun, planet and ring gears combine to deliver high torque density in robotics, automotive transmissions and wind turbines.
Oblique-Tooth Gears Form 2: Brown Movement 41
Explore the double-oblique gear pair in Brown movement 41. Calculate ideal driven speed, reduction ratio and mesh-event rate from tooth counts and input speed.
Oblique-Tooth Gears Form 1: Brown Movement 40
Explore the single-oblique tooth pair in Brown movement 40. Calculate ideal driven speed, reduction ratio and mesh-event rate from tooth counts and input speed.
Internal Worm Wheel: Ratio and Assumed-Efficiency Calculator | FIRGELLI
Calculate an ideal worm-input reduction, wheel speed, torque and power loss using an entered efficiency. Physical contact and self-locking are not determined.
Epicyclic Train (form 1) Mechanism Explained: How It Works, Parts, Willis Ratio and Uses
Explore a fixed-ring planetary reduction. Derive planet teeth from sun and ring counts, then compare carrier speed and ideal torque multiplication.
Epicyclic / Planetary Gear Train: How It Works, Parts, Ratio Formula, Diagram and Uses Explained
Explore a fixed-ring planetary reduction and check tooth-count compatibility. Compare sun input, carrier speed and required planet geometry.
Differential Speed: Fixed-Idler Gearing and Coaxial Counter-Rotation
Explore a fixed-idler gear train with coaxial counter-rotation. Calculate the required ring tooth count, signed idler and output speeds, and reduction ratio.