GEAR TRAIN MATH / CALCULATOR
Gear Ratio & Speed Calculator
Calculate gear ratio, output shaft speed, and torque output for spur, helical, bevel, and planetary gear sets.
Built for Engineering workflows, the Gear Ratio & Speed Calculator evaluates Driver (Input) Gear Teeth (teeth), Driven (Output) Gear Teeth (teeth), Input Motor Speed (RPM) using the explicit formula (Gear Ratio = Driven Teeth (Z2) ÷ Driver Teeth (Z1); Output RPM = Input RPM ÷ Ratio; Output Torque = Input Torque × Ratio). Instead of relying on rules of thumb, you can audit every variable and see how changing Driver (Input) Gear Teeth or Input Motor Torque impacts the final gear reduction ratio.
Default baseline with Driver (Input) Gear Teeth = 14 teeth yields 4.00 : 1 (gear reduction ratio).
MATHEMATICAL FORMULA
Gear Ratio = Driven Teeth (Z2) ÷ Driver Teeth (Z1); Output RPM = Input RPM ÷ Ratio; Output Torque = Input Torque × Ratio
Computed directly from Driver (Input) Gear Teeth (teeth), Driven (Output) Gear Teeth (teeth), Input Motor Speed (RPM) with zero server latency so Engineering practitioners can verify how Driver (Input) Gear Teeth drives gear reduction ratio.
Worked Real-World Example
Suppose you are running a Gear Ratio & Speed Calculator calculation with default baseline inputs: Driver (Input) Gear Teeth = 14 teeth, Driven (Output) Gear Teeth = 56 teeth, Input Motor Speed = 3000 RPM, Input Motor Torque = 2.5 Nm (Newton-meters). Applying the equation (Gear Ratio = Driven Teeth (Z2) ÷ Driver Teeth (Z1); Output RPM = Input RPM ÷ Ratio; Output Torque = Input Torque × Ratio), the calculator yields a primary result of 4.00 : 1 (gear reduction ratio), along with secondary breakdown details of Output speed: 750 RPM · Output torque: 10.00 Nm.
Assumptions, Tolerances & Limitations
Electrical, mechanical, and fabrication equations assume steady-state operating temperatures and homogeneous material properties. For NEC branch circuits and feeder sizing, account for ambient temperature derating, conduit fill, and continuous-load 125% multipliers. Specifically for Gear Ratio & Speed Calculator, ensure Driver (Input) Gear Teeth and Input Motor Torque are measured in consistent teeth before finalizing orders or specifications.
Methodology & Standards: Formulated for Engineering reference using (Gear Ratio = Driven Teeth (Z2) ÷ Driver Teeth (Z1); Output RPM = Input RPM ÷ Ratio; Output Torque = Input Torque × Ratio) across Driver (Input) Gear Teeth (teeth), Driven (Output) Gear Teeth (teeth), Input Motor Speed (RPM).
STEP-BY-STEP GUIDE
How to use the Gear Ratio & Speed Calculator
Use the three steps below to configure Driver (Input) Gear Teeth (teeth), Driven (Output) Gear Teeth (teeth), Input Motor Speed (RPM) and interpret the gear reduction ratio for Gear Ratio & Speed Calculator.
Start by setting Driver (Input) Gear Teeth = 14 teeth and related Engineering inputs.
Confirm unit consistency across Driver (Input) Gear Teeth (teeth), Driven (Output) Gear Teeth (teeth), Input Motor Speed (RPM).
Compare the computed 4.00 : 1 baseline against your project requirements.
FREQUENTLY ASKED QUESTIONS
What is the primary calculation performed by the Gear Ratio & Speed Calculator?
The Gear Ratio & Speed Calculator calculates Calculate gear ratio, output shaft speed, and torque output for spur, helical, bevel, and planetary gear sets. according to the verified formula Gear Ratio = Driven Teeth (Z2) ÷ Driver Teeth (Z1); Output RPM = Input RPM ÷ Ratio; Output Torque = Input Torque × Ratio.
How do I ensure maximum accuracy with this calculator?
Always measure actual physical dimensions and parameters rather than nominal estimates, keep units consistent, and include recommended safety or waste allowances.
Can I copy and share the calculation results?
Yes. Click the 'Copy result' button to copy the complete formatted calculation and input record directly to your clipboard for job estimates or documentation.