How is the chain transmission ratio calculated?

It is calculated by dividing the number of teeth on the driven sprocket (z₂) by the number of teeth on the driver sprocket (z₁).

What formula is used to calculate the linear chain speed?

The linear speed (v) is calculated using the formula v = (z₁ * pitch * n₁) / 60,000, which outputs the speed in meters per second.

Do I need to provide the chain pitch to get the transmission ratio?

No, the transmission ratio only requires the tooth counts of the driver and driven sprockets.

Can this calculator determine if my chain drive is a speed reducer or speed multiplier?

Yes, the calculator identifies whether the setup acts as a speed reducer (ratio > 1) or a speed multiplier (ratio < 1).

What units should I use for the chain pitch?

The chain pitch must be entered in millimeters (mm) to correctly calculate the linear speed in meters per second (m/s).

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Chain Sprocket Ratio Calculator

Calculate the ratio, driven speed and chain linear speed of a chain drive. i = z₂/z₁ = n₁/n₂, chain speed v = z₁·p·n₁/60000. Enter the pitch to compute chain speed.

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1 examples

17-tooth driver, 51-tooth driven, 1200 rpm, pitch 12.7 mm

i = 51/17 = 3:1 reducer, n₂ = 400 rpm, chain speed = 17·12.7·1200/60000 ≈ 4.318 m/s.

{"result":"i = z₂/z₁ = 51/17 = 3 (speed reducer). n₂ = 1200 / 3 = 400 rpm. Chain speed = 4.318 m/s.","metadata":{"input":{"driverTeeth":17,"drivenTeeth":51,"driverSpeed":1200,"pitch":12.7},"result":{"ratio":3,"driverTeeth":17,"drivenTeeth":51,"ratioType":"speed reducer","drivenSpeed":400,"chainSpeed":4.318,"chainSpeedUnit":"m/s"}}}

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5 options

SettingsAdjust formats, ranges, numbers, and modes.5

Driver Sprocket Teeth (z₁)numberRequiredDriven Sprocket Teeth (z₂)numberRequiredDriver Speed n₁ (rpm)numberOptionalOptional. If provided, the driven speed is computed.Chain Pitch (mm)numberOptionalOptional. Combined with n₁ it yields the chain linear speed (m/s).Decimal PlacesnumberOptional

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Chain Sprocket Ratio Calculator

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1. Industrial Conveyor Speed Reduction

2. Go-Kart Sprocket Tuning

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