Percuma & Serta-merta — Tiada Pendaftaran Diperlukan

Sprocket Ratio Calculator

Calculate sprocket drive ratios from front and rear sprocket tooth counts. Determine speed changes, torque multiplication, and optimal gearing for motorcycles, bicycles, go-karts, ATVs, and industrial chain drive systems.

Sprocket Ratio Calculator — Pratonton Nisbah Langsung
Sprocket Ratio
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Proportion Solver
A : B = C : D — Enter any 3 values
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Results
Visual ratio breakdown
Solved Proportion
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Simplified
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Percentages
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Decimal
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Fraction
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Visual Ratio
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Part B: —
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    Ratio Simplifier
    Reduce any ratio to its simplest form
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    Simplified Result
    Reduced to lowest terms
    Simplified Ratio
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    GCD Used
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    Percentages
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    Decimal Ratio
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    Fraction
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    Visual Ratio
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      Ratio Scaler
      Multiply a ratio by a scale factor
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      Scaled Result
      Ratio after scaling
      Scaled Ratio
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      Original
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      Factor
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      Percentages
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      Simplified
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      Visual Ratio
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        What is a Sprocket Ratio?

        A sprocket ratio describes the speed and torque relationship in a chain-drive system, calculated by dividing the rear (driven) sprocket tooth count by the front (driving) sprocket tooth count. A 14-tooth front sprocket driving a 42-tooth rear sprocket creates a 3:1 ratio — the rear wheel turns once for every three engine rotations, tripling torque while reducing speed by one-third.

        Sprocket ratio changes are the most common and cost-effective performance modification for motorcycles, go-karts, and bicycles. Unlike gear ratio changes that require expensive internal transmission work, swapping sprockets takes minutes and costs a fraction. Reducing the front sprocket by one tooth (e.g., 15T to 14T) has the same effect as adding approximately 3 teeth to the rear sprocket, providing a quick acceleration boost.

        Formula & Persamaan Yang Digunakan

        Sprocket Ratio Calculator ini menggunakan 5 persamaan utama:

        1 Sprocket Ratio ▼
        Ratio = Rear Sprocket Teeth / Front Sprocket Teeth

        45-tooth rear / 15-tooth front = 3.0:1 overall ratio.

        2 Speed Change Percentage ▼
        Speed Change % = ((New Ratio / Old Ratio) - 1) × -100

        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) ▼
        Final = Primary Ratio × Gear Ratio × Sprocket Ratio

        Multiply all ratios in the drivetrain for the overall reduction from engine to wheel.

        Explore all calculation options on the Kalkulator Nisbah home page.

        Cara Menggunakan Kalkulator Ini

        Untuk menggunakan Kalkulator Nisbah ini, ikuti 3 langkah berikut:

        1

        Masukkan Nilai

        Taip nilai nisbah yang diketahui ke dalam ruang input. Biarkan satu ruang kosong — itu ialah nilai tidak diketahui yang diselesaikan oleh Kalkulator Nisbah.

        2

        Pilih Mod

        Pilih mod nisbah — Selesaikan, Permudahkan, atau Skalakan. Setiap mod menggunakan persamaan berbeza untuk nilai input anda.

        3

        Dapatkan Hasil

        Klik Kira. Skrin hasil memaparkan jawapan dengan bar nisbah visual, carta pai, dan pecahan jalan pengiraan langkah-demi-langkah.

        Contoh Masalah & Penyelesaian Langkah-demi-Langkah

        Berikut ialah 3 contoh masalah dengan penyelesaian langkah-demi-langkah menggunakan Kalkulator Nisbah ini:

        Input 1 Motorcycle: 16-front, 42-rear sprocket
        1 Identify Front countershaft sprocket (T_1 = 16) and Rear wheel sprocket (T_2 = 42).
        2 Apply formula: Sprocket Ratio = Rear Teeth ÷ Front Teeth.
        3 Calculation: 42 ÷ 16 = 2.625.
        ✓ Final Drive Sprocket Ratio is 2.625 : 1
        Input 2 Change from 15/45 to 14/45 for more acceleration
        1 Stock Ratio: 45 ÷ 15 = 3.000 : 1.
        2 New Ratio: 45 ÷ 14 = 3.214 : 1.
        3 Torque increase: (3.214 - 3.000) ÷ 3.000 = +7.13% more bottom-end acceleration.
        ✓ +7.1% Acceleration Gain (Higher Gearing Reduction)
        Input 3 Bicycle: 32T chainring, 11-42T cassette range
        1 Top gear (High speed): 32 ÷ 11 = 2.91 ratio.
        2 Climbing gear (Low speed): 32 ÷ 42 = 0.76 ratio.
        3 Overall gear range: 2.91 ÷ 0.76 = 382% drivetrain range.
        ✓ Gear Range: 0.76 : 1 (Climbing) to 2.91 : 1 (Sprint)

        Soalan Lazim

        How do I calculate sprocket ratio? ▼

        Sprocket Ratio = Rear Sprocket Teeth ÷ Front Sprocket Teeth. A 42-tooth rear with a 14-tooth front = 42/14 = 3.0:1 ratio. The engine turns 3 times for every wheel rotation, multiplying torque by 3× while dividing speed by 3×.

        Does a smaller front sprocket increase acceleration? ▼

        Yes. A smaller front sprocket increases the overall ratio (more torque at the wheel), improving acceleration but reducing top speed. Going from 15T to 14T front increases the ratio by approximately 7%, which is noticeably more responsive.

        Does a larger rear sprocket increase acceleration? ▼

        Yes. A larger rear sprocket increases the overall ratio, similar to a smaller front. Going from 42T to 45T rear increases the ratio by approximately 7%. The effect per tooth is smaller than the front because the rear sprocket has more teeth.

        How does sprocket ratio affect top speed? ▼

        Higher ratios (more acceleration) reduce theoretical top speed because the engine reaches redline at a lower road speed. Lower ratios (less acceleration) increase top speed. However, most street motorcycles are geared well below their aerodynamic top speed, so moderate ratio increases may not noticeably affect real-world top speed.

        What is the stock sprocket ratio on my motorcycle? ▼

        Check your owner's manual, a service manual, or manufacturer's website for the standard front and rear tooth counts. Common sport bike setups are 16/43 to 17/45 (ratio 2.53-2.69). Cruisers often use lower ratios (2.0-2.4). Enter your stock teeth into the calculator to find the exact ratio.

        How many teeth should I change for noticeable improvement? ▼

        Most riders notice a clear difference with 1 tooth front or 2-3 teeth rear change. Going down 2 front teeth or up 4-5 rear teeth is considered aggressive and significantly changes the bike's character. Start with 1 tooth front for the easiest, most impactful change.

        Will changing sprockets affect my speedometer? ▼

        On chain-driven motorcycles with wheel-speed sensors, yes — the speedometer will read incorrectly because the wheel turns at a different speed relative to the engine. Electronic speedometer calibrators can correct this. Front-wheel-sensor speedometers are not affected.

        What is the difference between 520, 525, and 530 chains? ▼

        These numbers refer to chain pitch (5/8 inch for all) and roller width. 520 is lightest and narrowest (for racing and lightweight bikes). 525 is mid-range (most modern sport bikes). 530 is heaviest (cruisers, touring bikes). Lighter chains reduce rotating mass but handle less power.

        Can I convert my motorcycle from 530 to 520 chain? ▼

        Yes, with a complete chain and sprocket kit conversion. 520 chains are lighter (reducing unsprung weight) but have lower maximum load capacity. Most sport bikes under 1000cc convert well. Larger touring and cruiser bikes should stay with 530 for durability.

        How does sprocket gearing compare to gear ratio changes? ▼

        Sprocket changes affect the final drive ratio equally across all transmission gears. Internal gear ratio changes affect individual gears. Sprocket swaps are cheap ($50-150), quick (30 minutes), and reversible. Internal transmission changes are expensive ($1000+), complex, and permanent.

        Ketahui Mengenai Nisbah

        Apakah itu nisbah?

        Nisbah ialah perbandingan antara dua atau lebih kuantiti yang menunjukkan saiz relatif satu kuantiti berbanding yang lain. Ditulis sebagai A : B, ia bermaksud 'bagi setiap A unit kuantiti pertama, terdapat B unit bagi kuantiti kedua.' Sebagai contoh, nisbah 3 : 4 bermaksud bagi setiap 3 bahagian A, ada 4 bahagian B. Nisbah digunakan dalam masakan, pembinaan, kewangan, sains, dan kehidupan seharian.

        Bagaimanakah saya menyelesaikan perkadaran?

        Perkadaran ialah persamaan yang menyatakan bahawa dua nisbah adalah sama: A : B = C : D. Untuk menyelesaikan nilai yang hilang, gunakan pendaraban silang. Jika D tidak diketahui: D = (B × C) / A. Ini berfungsi kerana dalam nisbah yang sama, hasil darab silang sentiasa sama: A × D = B × C. Penyelesai Perkadaran kami melakukan ini secara automatik — masukkan mana-mana 3 nilai sahaja dan ia akan mencari yang ke-4.

        Bagaimanakah saya memudahkan nisbah?

        Untuk memudahkan nisbah, cari Faktor Sepunya Terbesar (FSTB) bagi kedua-dua nombor dan bahagikan setiap satu dengannya. Sebagai contoh, 24 : 36 — FSTB bagi 24 dan 36 ialah 12. Jadi 24 ÷ 12 = 2 dan 36 ÷ 12 = 3, memberikan nisbah dipermudahkan 2 : 3. Penyelesai kami secara automatik mencari FSTB dan mengecilkan nisbah anda ke bentuk paling mudah.

        Apakah itu penskalaan nisbah dan bilakah ia berguna?

        Menskalakan nisbah bermakna mendarabkan kedua-dua bahagian dengan faktor yang sama untuk mencipta nisbah setara, lebih besar (atau lebih kecil). Contohnya, menskalakan 2 : 5 dengan faktor 3 menghasilkan 6 : 15. Ini sangat berguna untuk resipi (cth., menggandakan resipi), pembinaan (skalakan pelan), membancuh larutan, atau sebarang situasi di mana anda perlu mengekalkan kadar nisbah yang sama pada saiz berbeza.

        Apakah perbezaan antara nisbah dan pecahan?

        Nisbah A : B membandingkan dua kuantiti antara satu sama lain (bahagian-ke-bahagian), manakala pecahan A/B biasanya mewakili hubungan bahagian-ke-keseluruhan. Walau bagaimanapun, sebarang nisbah boleh dinyatakan sebagai pecahan: 3 : 4 adalah setara dengan 3/4 = 0.75. Perbezaan utama ialah konteks — nisbah membandingkan kuantiti secara bersebelahan, manakala pecahan mewakili sebahagian daripada keseluruhan.