Sprocket Ratio Calculator
The Sprocket Ratio Calculator computes chain drive ratios from front (countershaft) and rear (wheel) sprocket tooth counts. Optimize your motorcycle, bicycle, or go-kart gearing for acceleration, top speed, or hill climbing performance.
🕐 Recent Calculations
What is a Sprocket Ratio?
A sprocket ratio is the relationship between the front (driving) and rear (driven) sprockets in a chain drive system. It equals Rear Teeth / Front Teeth. A 15-tooth front sprocket and 45-tooth rear gives a 3.0:1 ratio — the rear wheel turns once for every 3 engine/pedal rotations.
Changing sprocket ratios is the simplest way to alter a motorcycle's or bicycle's gearing characteristics. Adding teeth to the rear sprocket (or removing from front) increases the ratio for better acceleration. The opposite improves top speed but reduces low-end pull.
적용 수학 공식 및 방정식
이 Sprocket Ratio Calculator는 5가지 핵심 수학 공식을 사용합니다:
1 Sprocket Ratio ▼
45-tooth rear / 15-tooth front = 3.0:1 overall ratio.
2 Speed Change Percentage ▼
Going from 3.0:1 to 3.3:1: Change = ((3.3/3.0) - 1) × -100 = -10% top speed, +10% acceleration.
3 Final Drive Ratio (with primary) ▼
Multiply all ratios in the drivetrain for the overall reduction from engine to wheel.
비율 계산기 사용법
이 비율 계산기는 아래의 3단계로 쉽게 사용할 수 있습니다:
수치 입력하기
입력 칸에 알고 있는 비율 값을 입력합니다. 구하려는 미지수 자리의 칸 하나는 비워둡니다.
모드 선택하기
비율 모드(풀기, 간소화, 스케일링)를 선택합니다. 각 모드는 입력한 수치에 맞춰 다른 공식들을 적용합니다.
결과 확인하기
계산하기 버튼을 누릅니다. 결과 화면에 정답과 함께 시각적인 비율 바, 원형 차트, 상세한 단계별 풀이 과정이 출력됩니다.
실제 예제 문제 및 단계별 풀이
비율 계산기를 활용하여 아래 3가지 예제 문제를 단계별로 해결하는 과정입니다:
입력 1 Motorcycle: 16-front, 42-rear sprocket
입력 2 Change from 15/45 to 14/45 for more acceleration
입력 3 Bicycle: 32T chainring, 11-42T cassette range
자주 묻는 질문 (FAQ)
How do sprocket ratios affect motorcycle performance? ▼
Higher ratios (bigger rear or smaller front) increase acceleration and hill-climbing ability but reduce top speed. Lower ratios do the opposite. One tooth on the front sprocket equals roughly 3 teeth on the rear in effect.
Should I change the front or rear sprocket? ▼
Front sprocket changes have a bigger effect per tooth (1 front ≈ 3 rear). Changing the front is cheaper and easier but may cause clearance issues. Rear changes are gentler and offer finer adjustment.
How does sprocket ratio affect chain wear? ▼
Extreme ratios (very small front or very large rear) increase chain wrap angle and side loading, accelerating wear. Keep front sprockets at 12T or larger. Always replace the chain with new sprockets.
What is the stock sprocket ratio for most motorcycles? ▼
Varies by model. Sport bikes typically use 2.5-3.0:1, cruisers 2.2-2.8:1, and dirt bikes 3.5-4.5:1. Check your owner's manual for stock tooth counts.
Do I need a new chain length when changing sprockets? ▼
Changing by 1-2 teeth usually works with the existing chain. Larger changes (3+ teeth difference from stock) may require adding or removing chain links. Always verify chain tension and adjustment range.