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ChainSprocketCalc

Sprocket Speed Calculator: Vehicle & Chain Speed

Work out ground speed from engine rpm, gearing and tire size, or the linear speed and throughput of an industrial chain drive.

Presets

Vehicle Drivetrain

Ratio 3:1
Chain speed 4654 ft/min
T
Ratio 3:1
T
Motor / engine rpm
Gearbox ratio
Tire diameter
in

Stock sprockets (speedometer check)

T
T

Top Ground Speed

147.7mph

Metric:237.7 km/h

Wheel Speed

1985.8rpm

Overall ratio:7.05:1

Speedometer Error

+11.63%Check

Would read:164.9 mph

Speedometer error applies to gearbox-driven speedometers.

If your speedometer reads from the gearbox output, a taller or lower final drive changes what it shows. A front-wheel sensor is not affected by sprocket changes.

Speed across the rpm range

Wheel rpm and road speed at each engine rpm
Engine rpmWheel rpmmphkm/hSpeedo reads
1,8002551930.621.2 mph
3,6005113861.142.4 mph
5,4007665791.763.6 mph
7,2001,02176122.284.8 mph
9,0001,27794.9152.8106 mph
10,8001,532113.9183.4127.2 mph
12,6001,787132.9213.9148.4 mph
14,0001,986147.7237.7164.9 mph

Speed Formulas for Chain Drives

Both modes start from the same ratio. For a vehicle you then convert wheel rpm to road speed, and for a conveyor you convert sprocket rpm to chain travel. To solve for a missing sprocket from a target speed, use the sprocket size calculator.

Vehicle ground speed

Wheel rpm = Engine rpm / (Gearbox × N₂ / N₁)
mph = Wheel rpm × Tire Ø (in) / 336.1

Example: a 15T/45T sprocket pair behind a 2.35 gearbox at 14,000 rpm on a 25 inch tire gives 1986 wheel rpm and 147.7 mph.

Industrial chain speed

v = N × P × rpm
Flights/min = N × rpm / spacing
N
= driver teeth
P
= chain pitch

Example: ANSI #60 with a 15T driver at 116.7 rpm runs at 109 ft/min and delivers 109.4 flights per minute at 16 pitch spacing.

Gearing Changes and Your Speedometer

Many motorcycles drive the speedometer from the gearbox output, so changing the final drive without recalibrating changes what it shows. See the effect of a gearing change on torque and rpm with the motorcycle sprocket gearing calculator.

Shorter gearing (higher ratio)

Fewer driver teeth or more rear teeth raises the ratio. In the example, 15/45T against a stock 16/43T raises it by 11.6%, so a gearbox-driven speedometer reads about that much high.

Taller gearing (lower ratio)

More driver teeth or fewer rear teeth lowers the ratio, and the speedometer reads low. Use a GPS speed to check your actual speed.

Sprocket Speed FAQ