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Gear Ratio Calculator

Calculate gear ratio, output RPM, and torque multiplication from input/output teeth count.

Gear Train Parameters

Ratio = Nout / Nin   |   RPMout = RPMin / Ratio   |   Tout = Tin × Ratio × η

Results

Gear Ratio

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Output RPM

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Output Torque

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Input Power

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Output Power

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Type

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How this was calculated

Gear ratio: Driven teeth / Driving teeth. A ratio > 1 is a speed reducer (torque multiplier). Ratio < 1 is a speed increaser.

Power: HP = Torque(ft-lb) x RPM / 5252. Output power = Input power x efficiency.

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Understanding Gear Ratios

A gear ratio describes the relationship between the rotational speeds of two meshing gears. When a small driving gear meshes with a larger driven gear, speed decreases but torque increases proportionally (minus friction losses). This principle is fundamental to transmissions, pumping units, compressors, and industrial machinery.

Typical mesh efficiencies are 95-98% for spur gears, 90-95% for worm gears. Compound gear trains multiply individual stage ratios for higher overall reduction.

Built by Groundwork Analytics.

Disclaimer: For educational purposes only. Groundwork Analytics assumes no liability for decisions based on these results.