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Quick answer — two-sprocket chain drive
32T / 16T, 20" centers, 0.5" pitch: ratio 0.500:1, chain 52.08" (105 pitches). 15T/45T motorcycle: 3.000:1, 63.24" chain. Speed ratio 2.000:1 on the default setup.
Free sprocket gear calculator and chain sprocket calculator for motorcycles, bicycles, and industrial drives — ratio, speed ratio, mechanical advantage, and chain length from teeth and center distance.
Last updated: October 9, 2026
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Common: 0.5" (#40/41, #520), 0.375" (#35), 0.625" (#50)
Gear Ratio
0.500:1
16T ÷ 32T
Speed Ratio
2.000:1
Mech. Advantage
0.5×
Chain Length
52.08"
104.16 pitches → ceil 105 pitches (odd — check half-link)
Recommendation
Speed-oriented ratio. Increases output speed but reduces torque. Suitable for flat terrain and experienced riders. Note: Odd pitch count may need a half-link or special master link.
Larger rear sprocket = more torque, less speed. Match chain pitch to your chain standard and round to an even pitch count when possible.
Use this free sprocket calculator as a sprocket gear calculator and chain sprocket calculator. Calculate gear ratio, chain length, speed ratio, and mechanical advantage (torque)—works as a sprocket gear ratio calculator, chain sprocket ratio calculator, motorcycle sprocket calculator, and sprocket ratio calculator. Sprocket calculation and chain sprocket calculation in one tool.
This sprocket gear calculator (and sprocket gear ratio calculator) finds gear ratio = rear teeth ÷ front teeth, speed ratio, and mechanical advantage. Use it for sprocket calculation, calculate sprocket ratio, or as a sprocket torque calculator—mechanical advantage equals torque multiplication. Works as a motorcycle sprocket ratio calculator, sprocket gearing calculator, and sprocket size and speed calculator. Enter front and rear teeth above.
This chain sprocket calculator gives you chain length (inches and link count) from front teeth, rear teeth, center distance, and chain pitch. Use it as a chain sprocket ratio calculator, chain sprocket speed calculator, or chain sprocket rpm calculator—gear ratio drives speed and RPM. Chain sprocket calculation and chain sprocket calculation formula in one: enter your sprockets and center distance to get chain length and links for motorcycles, bikes, and chain drives.
Formula
Rear ÷ Front
Determines mechanical advantage and performance characteristics
Includes
Length & link count
Precise chain sizing based on sprockets and center distance
Typical ratios
2.5 - 3.5:1
Calculate optimal gearing for street, track, or off-road
Range
0.5 - 4.5:1
Optimize gearing for road, mountain, or touring bikes
Inverse of gear ratio
Front ÷ Rear
Determines speed multiplication for performance tuning
Force multiplier
= Gear Ratio
Higher MA = easier pedaling/acceleration, lower speed
For 32T front, 16T rear, 20" center distance, 0.5" pitch:
Gear Ratio
0.500:1
Chain Length
52.08"
Links
105
| Setup | Gear ratio | Speed ratio | Chain | Pitches |
|---|---|---|---|---|
| 32T / 16T · 20" · 0.5" pitch | 0.500:1 | 2.000:1 | 52.08 in | 105 pitches (ceil) |
| Motorcycle 15T / 45T · 24" · 0.5" | 3.000:1 | 0.333:1 | 63.24 in | 127 pitches (ceil) |
| Road 52T / 28T · 18" · 0.5" | 0.538:1 | 1.857:1 | 56.20 in | 113 pitches (ceil) |
| MTB 32T / 50T · 20" · 0.5" | 1.563:1 | 0.640:1 | 60.60 in | 122 pitches (ceil) |
Our sprocket calculator uses industry-standard formulas for chain drive systems. The gear ratio calculation determines mechanical advantage and speed characteristics, while the chain length formula accounts for sprocket sizes, center distance, and chain pitch to provide accurate chain sizing for motorcycles, bicycles, and industrial applications.
Gear Ratio:
Ratio = Rear Teeth ÷ Front TeethSpeed Ratio:
Speed Ratio = Front Teeth ÷ Rear Teeth = 1 ÷ Gear RatioChain Length:
L = 2C + (N1 + N2)/2 + ((N2 - N1)/(2π))² × (1/C)Where:
Gear ratio determines the relationship between input and output speed and torque. A ratio greater than 1:1 (more rear teeth than front) provides torque multiplication, making pedaling or acceleration easier at the expense of top speed. A ratio less than 1:1 provides speed multiplication but requires more force. The optimal ratio depends on application: climbing, cruising, racing, or load carrying.
Need help with other mechanical calculations? Check out our belt length calculator and fuel injector calculator.
Get Custom Calculator for Your PlatformResult: 3.0:1 ratio provides excellent torque for acceleration
Good for street riding and moderate off-road use
52T front, 28T rear, typical road gearing
Ratio: 0.538:1 (speed-oriented)
32T front, 50T rear, climbing gear
Ratio: 1.563:1 (torque-oriented)
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