engineering mechanics

Gear Ratio & Output Speed Calculator

Mechanical design and gearbox tool. Relates driving and driven gear tooth counts to determine speed reduction and torque multiplication.

Input Parameters

Driver / Input Gear Teeth (Z₁)

Driven / Output Gear Teeth (Z₂)

Input Speed (N₁ in RPM)

Instant Calculation Result

Estimated Output

Active in Real-Time

Adjust values on the left to calculate live results.

Formula: Gear Ratio i = Z2 / Z1. Output Speed N2 = N1 / i = N1 * (Z1 / Z2).

In-Depth Guide & Mathematical Methodology

⚙️ Gear Ratio & Velocity Formulas

Gear Ratio (i): i = Driven Teeth (Z₂) / Driver Teeth (Z₁)

Output Speed: N₂ = N₁ / i

Torque Relation: T₂ = T₁ × i (neglecting efficiency losses).

Frequently Asked Questions (FAQ)

What is the Gear Ratio & Output Speed Calculator and how does it work?

Mechanical design and gearbox tool. Relates driving and driven gear tooth counts to determine speed reduction and torque multiplication.

How do I use this Gear Ratio & Output Speed Calculator?

Enter Driver / Input Gear Tooth Count ($Z_1$). Enter Driven / Output Gear Tooth Count ($Z_2$). Enter Motor Input Speed ($N_1$ in RPM). View Transmission Gear Ratio ($i$) and Output Speed ($N_2$ in RPM).

What mathematical formula is used in this calculation?

Gear Ratio i = Z2 / Z1. Output Speed N2 = N1 / i = N1 * (Z1 / Z2).

Is the Gear Ratio & Output Speed Calculator on FindCalculator free to use?

Yes, all 330+ interactive tools on FindCalculator.online are 100% free, run directly in your browser without registration, and do not store your private calculation data.

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