Transmission Gear Ratio Calculator

Model drivetrain ratios with speed and torque effects. Compare each gear using clear physics outputs. Export useful reports for workshop and study decisions today.

Advanced Calculator

Example Data Table

Vehicle Type Gear Ratio Final Drive Tire Diameter Use Case
Street car 3.80 3.73 27 in Strong launch and normal road use
Highway cruiser 0.78 3.42 28 in Lower RPM at cruising speed
Off-road truck 4.10 4.56 33 in Higher wheel torque for crawling
Race setup 1.52 4.10 25 in Balanced acceleration and speed

Formula Used

Gear ratio from teeth: Gear Ratio = Driven Gear Teeth ÷ Driving Gear Teeth

Total drive ratio: Total Ratio = Transmission Gear Ratio × Final Drive Ratio × Transfer Ratio

Wheel RPM: Wheel RPM = Engine RPM ÷ Total Drive Ratio

Tire circumference: Circumference = π × Tire Diameter

Road speed: Speed km/h = Wheel RPM × Circumference(m) × 60 ÷ 1000 × Road Factor

Road factor: Road Factor = 1 − Wheel Slip Percentage

Wheel torque: Wheel Torque = Engine Torque × Total Drive Ratio × Efficiency

Tractive force: Tractive Force = Wheel Torque ÷ Tire Radius(m)

How to Use This Calculator

  1. Select the gear teeth method or direct ratio method.
  2. Enter driving and driven teeth if using gear teeth.
  3. Enter the direct ratio if you already know it.
  4. Add final drive, transfer ratio, RPM, torque, and tire diameter.
  5. Enter each transmission gear ratio for comparison.
  6. Click Calculate to show results above the form.
  7. Use CSV or PDF buttons to save the output.

Transmission Gear Ratio Guide

What the Ratio Means

A transmission gear ratio shows how many input turns create one output turn. A high ratio multiplies torque strongly. It also lowers wheel speed. A low ratio gives less torque multiplication. It allows higher road speed at the same engine RPM. This balance is central to vehicle physics.

Why Final Drive Matters

The transmission ratio does not work alone. Final drive ratio changes the total reduction. A 3.80 first gear with a 3.73 axle becomes a much larger total ratio. That total ratio controls wheel RPM, torque, and launch force. Off-road vehicles often use higher reductions. Highway vehicles often use lower cruising ratios.

Torque and Speed Tradeoff

Gear systems exchange speed for torque. They do not create free energy. When torque rises at the wheel, rotational speed falls. Efficiency losses also reduce delivered torque. This calculator includes efficiency, so the result feels more realistic. It also includes wheel slip for practical road speed estimates.

Tire Diameter Effect

Tire size changes road speed. A larger tire travels farther with each wheel rotation. That can raise speed at a given RPM. It can also reduce effective pulling force. Smaller tires do the opposite. They improve mechanical advantage but may limit top speed.

Using the Gear Table

Enter each gear ratio in the comparison fields. The table shows total ratio, speed, wheel torque, and tractive force. Use it to compare first gear launch, mid gear pull, and overdrive cruising. The chart makes the speed and torque pattern easy to see.

Practical Notes

Real vehicles may vary from calculated values. Tire growth, clutch slip, converter slip, road grade, and load change results. Still, this calculator gives a strong planning estimate. It is useful for physics study, drivetrain tuning, gearing changes, and workshop discussion.

FAQs

1. What is a transmission gear ratio?

A transmission gear ratio compares input shaft rotation with output shaft rotation. A 3.00 ratio means the input turns three times for one output turn.

2. How do gear teeth affect ratio?

For a simple gear pair, divide driven gear teeth by driving gear teeth. More driven teeth usually create higher torque multiplication and lower output speed.

3. What is total drive ratio?

Total drive ratio combines transmission gear ratio, final drive ratio, and transfer ratio. It shows the full reduction between engine and wheels.

4. Why does wheel torque increase in low gear?

Low gear uses a larger reduction ratio. This multiplies engine torque at the wheel, but the wheel rotates slower than in higher gears.

5. Does a larger tire change gearing?

Yes. Larger tires travel farther per wheel revolution. They can increase speed at the same RPM, but they reduce effective pulling force.

6. Why include drivetrain efficiency?

Real drivetrains lose energy through friction, heat, bearings, gears, and joints. Efficiency adjusts wheel torque to a more practical value.

7. What does wheel slip do?

Wheel slip reduces actual road speed compared with theoretical wheel speed. It is common during hard acceleration, loose surfaces, and off-road driving.

8. Can this calculator compare multiple gears?

Yes. Enter ratios for each gear. The calculator creates a table and graph showing speed, torque, and force for every entered gear.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.