Worm Gear

Calculate gear ratio, mechanical advantage, engine displacement, piston speed, hydraulic cylinder force, and belt drive lengths for worm gear.

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Input Mechanism Parameters

Enter gear teeth, stroke length, diameter, or pressure.

Calculated Mechanical Advantage / Speed Ratio

3.00 : 1
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Law of Levers & Gears

Gear ratio = N_driven / N_driver = Torque_output / Torque_input. Increasing output torque decreases output rotation speed proportionally (P = τ × ω).

Calculation Methodology & Details

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Formula

Gear Ratio = N_driven / N_driver Engine Displacement: V = (π/4) × Bore² × Stroke × Cylinders Hydraulic Force: F = P × A = P × (π/4) × D² Lever Mechanical Advantage: MA = d_effort / d_load

Applies kinematic gear train ratios, hydraulic Pascal pressure laws, internal combustion engine thermodynamics, and mechanical power transmission equations.

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Important Disclaimer

Calculations assume ideal 100% mechanical efficiency without gear mesh friction or fluid pressure drops unless volumetric/mechanical efficiency (η) is supplied.

How to Calculate Step-by-Step

Follow these steps to complete the calculation:

1

Step 1

Enter input driver gear teeth N1, cylinder bore (mm), or hydraulic pressure P (PSI/bar).

2

Step 2

Enter output driven gear teeth N2, piston stroke (mm), or lever arm distance.

3

Step 3

View overall reduction gear ratio, engine displacement (cc or CID), hydraulic cylinder extension force (lbf/N), or piston speed (m/s).

Detailed Insights & Expert Guide

ℹ️ About this Calculation

The Worm Gear calculates gear train reduction ratios, internal combustion engine displacement & BMEP, hydraulic cylinder force output, pulley speed ratios, and spring stiffness parameters.

Variable Glossary

Input

Gear Ratio

Ratio of driven gear rotation speed/teeth to driver gear speed/teeth.

Parameter

Mechanical Advantage (MA)

Factor by which a mechanism multiplies the input force applied to it.

FAQ

How is engine displacement calculated from bore and stroke?
Engine Displacement = (π/4) × Bore² × Stroke × Number of Cylinders. For example, a 4-cylinder engine with 87.5mm bore and 83.1mm stroke yields 1,998 cc (2.0L).
What is BMEP (Brake Mean Effective Pressure)?
BMEP measures an engine's torque capacity independent of displacement size. High-performance naturally aspirated engines produce ~10–15 bar BMEP; turbocharged race engines reach 25–35+ bar.
What is NPSH in pump hydraulics?
Net Positive Suction Head (NPSH) is the absolute pressure head at the pump inlet above the liquid's vapor pressure. NPSH Available (NPSHA) must exceed NPSH Required (NPSHR) to prevent destructive pump cavitation.