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Final Drive Ratio Calculator

Calculate the total drivetrain gear multiplication from engine to wheels by combining transmission gear ratio, transfer case ratio, and axle (differential) ratio. Instantly see overall torque multiplication, estimate engine RPM at any speed, and optimize your vehicle's gearing for towing, racing, or fuel economy.

Final Drive Ratio Calculator — 실시간 비율 미리보기
Final Drive Ratio
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Proportion Solver
A : B = C : D — Enter any 3 values
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Results
Visual ratio breakdown
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    Ratio Simplifier
    Reduce any ratio to its simplest form
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    Simplified Result
    Reduced to lowest terms
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      Ratio Scaler
      Multiply a ratio by a scale factor
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      Scaled Result
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        What is Final Drive Ratio?

        The final drive ratio is the combined gear reduction from the engine crankshaft all the way to the drive wheels. It multiplies the individual ratios of the transmission gear, transfer case (on 4WD vehicles), and rear axle differential. In first gear with a 3.50:1 transmission ratio and a 3.73:1 axle ratio, the final drive ratio is 3.50 × 3.73 = 13.06:1 — meaning the engine crankshaft rotates 13.06 times for every single wheel rotation.

        The final drive ratio directly determines the trade-off between torque at the wheels and vehicle speed. A higher overall ratio (larger number) delivers more torque multiplication for acceleration and hill climbing but limits top speed. A lower ratio (smaller number, as in highway overdrive) allows higher speeds and better fuel economy but reduces pulling force. Understanding this ratio is essential for matching drivetrain gearing to your vehicle's intended use.

        적용 수학 공식 및 방정식

        이 Final Drive Ratio Calculator는 5가지 핵심 수학 공식을 사용합니다:

        1 Final Drive Ratio ▼
        FDR = Transmission Ratio × Transfer Case Ratio × Axle Ratio

        3.5 × 1.0 × 3.73 = 13.06:1 in first gear (2WD without transfer case).

        2 RPM at Road Speed ▼
        RPM = (Speed × FDR × 336) / Tire Diameter

        At 60 mph, FDR 2.61 (overdrive), 30" tires: RPM = (60 × 2.61 × 336) / 30 = 1755 RPM.

        3 Road Speed at RPM ▼
        Speed = (RPM × Tire Diameter) / (FDR × 336)

        At 3000 RPM, FDR 3.73, 28" tires: Speed = (3000 × 28) / (3.73 × 336) = 67 mph.

        Explore all calculation options on the 비율 계산기 home page.

        비율 계산기 사용법

        이 비율 계산기는 아래의 3단계로 쉽게 사용할 수 있습니다:

        1

        수치 입력하기

        입력 칸에 알고 있는 비율 값을 입력합니다. 구하려는 미지수 자리의 칸 하나는 비워둡니다.

        2

        모드 선택하기

        비율 모드(풀기, 간소화, 스케일링)를 선택합니다. 각 모드는 입력한 수치에 맞춰 다른 공식들을 적용합니다.

        3

        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 Truck in 3rd gear: trans 1.5:1, axle 4.10:1
        1 Multiply transmission gear ratio by differential axle ratio.
        2 Calculation: 1.50 × 4.10 = 6.15.
        3 Express as overall crawl/drivetrain ratio.
        ✓ Overall Drive Ratio is 6.15 : 1
        입력 2 Highway cruise: overdrive 0.70:1, axle 3.55:1
        1 Multiply overdrive ratio by axle ratio: 0.70 × 3.55 = 2.485.
        2 Calculate effective wheel torque multiplication factor.
        ✓ Final Drive Ratio is 2.485 : 1 (Fuel-Efficient Cruise)
        입력 3 4×4 in low range: trans 1:1, T-case 2.72:1, axle 3.73:1
        1 Multiply all 3 reduction stages: 1.00 × 2.72 × 3.73 = 10.1456.
        2 Calculate crawl torque multiplication.
        ✓ Total Crawl Ratio is 10.15 : 1

        자주 묻는 질문 (FAQ)

        How does final drive ratio affect acceleration vs. top speed? ▼

        Higher final drive ratios (larger numbers like 13:1 in first gear) multiply engine torque dramatically, providing strong acceleration from a stop. Lower ratios (like 2.5:1 in overdrive) allow higher top speeds but deliver less wheel torque. The ideal drivetrain offers high ratios in low gears for acceleration and low ratios in top gear for cruising.

        What is a transfer case ratio? ▼

        The transfer case in 4WD/AWD vehicles provides two ranges: high range (typically 1:1, no additional reduction) and low range (typically 2.5:1 to 4.0:1 additional reduction). Low range multiplies the final drive ratio by the low-range factor, providing extreme torque for off-road crawling and steep terrain.

        How do I calculate engine RPM at highway speed? ▼

        Use the formula: RPM = (Speed in MPH × Final Drive Ratio × 336) ÷ Tire Diameter in inches. For example, at 70 MPH with a 2.61:1 overdrive final drive ratio and 30-inch tires: RPM = (70 × 2.61 × 336) ÷ 30 = 2,047 RPM.

        Does changing tire size affect the effective final drive ratio? ▼

        Yes, significantly. Larger tires act as a gear reduction (lowering the effective ratio) because the wheel travels more distance per rotation. Going from 30-inch to 33-inch tires reduces the effective ratio by 10%, weakening acceleration and towing power. Re-gearing the axle compensates for this change.

        What final drive ratio is best for towing? ▼

        For heavy towing, you want a final drive ratio of 10:1 to 15:1 in the tow-start gear. This typically means a 3.73 or 4.10 axle ratio combined with a low first-gear transmission ratio (3.0-4.0:1). Avoid relying on overdrive gears for towing on grades — lock out overdrive and use a gear with sufficient torque multiplication.

        What is a crawl ratio and why does it matter? ▼

        The crawl ratio is the maximum final drive ratio available: first gear × low-range transfer case × axle ratio. For off-road vehicles, it determines how slowly and powerfully you can crawl over obstacles. A Jeep Wrangler Rubicon has approximately a 73:1 crawl ratio (4.0 × 4.0 × 4.56), providing excellent control on technical terrain.

        How do automatic transmission torque converters affect the final drive? ▼

        A torque converter multiplies torque at stall (up to 2.0-2.5×) and during initial acceleration, effectively increasing the final drive ratio during launch. This extra multiplication disappears once the converter locks up (usually above 30-40 MPH), so it only affects low-speed situations.

        What is overdrive and how does it affect final drive ratio? ▼

        Overdrive is any gear with a ratio less than 1.0:1, meaning the output shaft turns faster than the input. A 0.70:1 overdrive with a 3.73 axle gives a 2.61:1 final drive — much lower than the 3.73:1 in direct drive. This reduces RPM at highway speed for better fuel economy and lower noise.

        Can I calculate final drive ratio for an electric vehicle? ▼

        EVs typically have a single fixed-ratio reduction gear (usually 7:1 to 11:1) between the motor and wheels. This is their final drive ratio. There is no multi-speed transmission or transfer case. Calculate it simply as the single gear ratio, or divide motor RPM by wheel RPM at a known speed.

        How do I choose between a 3.73 and 4.10 axle for my final drive? ▼

        If your primary use is highway cruising and light towing, 3.73 provides a better balance of fuel economy and adequate torque. If you frequently tow heavy loads, run larger tires, or need strong acceleration, 4.10 delivers more torque at the cost of 200-300 higher RPM at cruise. Calculate both final drives in your most-used gear to compare.

        비율 이론 학습하기

        비율이란 정확히 무엇인가요?

        비율(Ratio)은 두 가지 이상의 양의 크기를 서로 견주어 비교해 나타낸 수치입니다. 기호로는 A : B 와 같이 나타내며, '앞엣것 A의 단위량당 뒤엣것 B의 분량이 매칭된다'는 상호 관계입니다. 3 : 4 비율이라면 A가 3개 배분될 때 B는 4개 매칭된다는 정비례 관계를 갖습니다. 요리 레시피 배량, 기계 설계, 금융 재무 분석 등에 두루 사용됩니다.

        비례식은 어떻게 푸나요?

        비례식은 두 비율의 가치가 같다는 것을 뜻하는 수학 등식입니다 (A : B = C : D). 외항의 곱(A × D)과 내항의 곱(B × C)은 항상 같습니다. 미지수 D를 구하려면 내항을 곱한 뒤 남은 외항 A로 나눕니다: D = (B × C) / A. 비율 계산기의 비례식 해결 모드에 알고 있는 세 숫자를 넣으면 미지수를 즉각 도출할 수 있습니다.

        비율은 어떻게 간단하게 정리하나요?

        두 숫자의 최대공약수(GCD)를 구한 다음 두 수를 모두 그 최대공약수로 나누어 약분하면 됩니다. 예컨대 24 : 36 의 경우 24와 36의 최대공약수가 12이므로 양쪽을 12로 나누면 가장 간단한 자연수의 비인 2 : 3이 됩니다. 비율 계산기가 GCD 연산과 약분을 자동으로 처리해 줍니다.

        비율 크기 스케일링은 언제 사용하나요?

        비율 관계를 흩뜨리지 않고 전체 양을 늘리거나 줄일 때 사용합니다. 예컨대 2 : 5 비율의 자재가 있을 때 양쪽 모두에 3을 곱하면 6 : 15 가 되어 동일한 비중을 가지면서 3배 많은 배합물을 준비할 수 있습니다. 빵 굽기 반죽 용량 증감, 조립 도면 축소 스케일링 등에서 필수적입니다.

        비율과 분수의 차이점은 무엇인가요?

        비율(A : B)은 대등한 성분끼리 양의 크기를 비교하는 것(부분 대 부분)에 가깝고, 분수(A/B)는 전체 수량의 파이 속에서 특정 부위가 차지하는 지분율(부분 대 전체)을 표현하는 경우가 많습니다. 다만 비율 3 : 4 역시 분수 3/4 (소수 0.75)의 가치로 나타낼 수 있습니다. 쓰임새와 의미 맥락에서 미세한 뉘앙스 차이가 존재합니다.