Belt Length Calculator
Calculate gear ratio, mechanical advantage, engine displacement, piston speed, hydraulic cylinder force, and belt drive lengths for belt length.
Input Mechanism Parameters
Enter gear teeth, stroke length, diameter, or pressure.
Calculated Mechanical Advantage / Speed Ratio
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
Formula
Applies kinematic gear train ratios, hydraulic Pascal pressure laws, internal combustion engine thermodynamics, and mechanical power transmission equations.
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:
Step 1
Enter input driver gear teeth N1, cylinder bore (mm), or hydraulic pressure P (PSI/bar).
Step 2
Enter output driven gear teeth N2, piston stroke (mm), or lever arm distance.
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 Belt Length Calculator calculates gear train reduction ratios, internal combustion engine displacement & BMEP, hydraulic cylinder force output, pulley speed ratios, and spring stiffness parameters.
Variable Glossary
Gear Ratio
Ratio of driven gear rotation speed/teeth to driver gear speed/teeth.
Mechanical Advantage (MA)
Factor by which a mechanism multiplies the input force applied to it.