Gear Ratio Calculator CVT: Formula, Worked Example & RPM Tables

Gear Ratio Calculator CVT comes down to one formula and three inputs: the road speed, the axle ratio and the tyre diameter. The formula is RPM = (speed × gear ratio × final drive × 336) ÷ tyre diameter in inches, and this page applies it to the question in the keyword with a worked example, tables at 30, 50 and 70 mph, and the practical effects explained in plain terms. The tables assume 28-inch tyres (example diameter) and a 1:1 top gear unless stated otherwise, and the assumptions are printed with each table so the numbers can be reworked for a different tyre size or an overdrive gear. Everything here is a calculation from stated inputs, and the disclaimer below applies to all of it.

On this page, gear ratio calculator cvt is the case in point: The reason the ratio matters is that it sets the engine speed at every road speed, and engine speed decides how the vehicle feels: how hard it pulls away, how it holds speed on a grade, how busy the motorway cruise is, and how much fuel a steady run uses. Change the ratio or the tyre diameter and the whole speed-versus-RPM relationship shifts, which is why the two are always considered together. The worked example below shows the arithmetic step by step, the comparison table puts the common ratios side by side, and the later sections cover the mistakes that waste money and the checks that should happen before any parts are ordered.

This is a calculation, not a safety approval. Always check your vehicle's door-jamb placard, load index and speed rating, and confirm fitment with a tyre professional before fitting a different tyre size.

How the gear ratio formula works for gear ratio calculator cvt

For gear ratio calculator cvt, the point is this: The arithmetic is straightforward once the four inputs are clear. RPM = (speed in mph × gearbox gear ratio × axle ratio × 336) ÷ tyre diameter in inches. The 336 folds together the 5,280 feet in a mile, the 12 inches in a foot and the 60 minutes in an hour, so it is a constant of the units rather than a property of the vehicle. If the gearbox is in a 1:1 gear, the gear ratio is 1.00 and the formula shortens to RPM = (speed × axle ratio × 336) ÷ tyre diameter. Rearranged, speed = (RPM × tyre diameter) ÷ (gear ratio × axle ratio × 336), which answers the opposite question: how fast is the vehicle going at a given engine speed. Every table in this article is built from those two formulas with the assumptions stated next to it, so any line can be re-checked.

What a gear ratio is for gear ratio calculator cvt

For gear ratio calculator cvt, the point is this: A gear ratio describes how many times the driveshaft turns for each turn of the wheels. A 3.73 axle ratio means the driveshaft rotates 3.73 times while each wheel rotates once, and a 4.10 ratio means the driveshaft rotates 4.10 times for that same single wheel rotation. The number is fixed by the ring gear and pinion inside the differential: divide the number of teeth on the ring gear by the number on the pinion and you get the ratio. A higher number is called a shorter or lower gear, because it multiplies engine torque more and keeps the engine spinning faster at any road speed; a lower number is called a taller or higher gear, because it does the opposite. Neither is better in the abstract — the right ratio depends on the tyre diameter, the weight being moved, the engine's power band and how the vehicle is used.

gear ratio calculator cvt: Worked example: RPM at 30, 50 and 70 mph

Taking gear ratio calculator cvt as the case in point: Take a 3.73 axle ratio on 28-inch tyres (example diameter), in top gear at 1.00. At 70 mph the formula gives RPM = (70 × 1.00 × 3.73 × 336) ÷ 28 = 3,133 RPM. At 50 mph it gives 2,238 RPM and at 30 mph 1,343 RPM. The speed at 2,000 RPM is 44.7 mph and at 3,000 RPM it is 67.0 mph. With a 3.07 ratio the 70 mph figure falls to 2,579 RPM, and with a 4.10 it rises to 3,444 RPM — the full spread is in the table below, and every line of it comes from the same formula with the same stated assumption.

gear ratio calculator cvt: RPM table: 3.07, 3.55 and 4.10 at 30, 50 and 70 mph

Assumption: 28-inch tyres (example diameter), top gear 1.00. RPM = (speed × ratio × 336) ÷ 28. That is the point this page works through for gear ratio calculator cvt.

Speed 3.07 ratio 3.55 ratio 3.73 ratio 4.10 ratio
30 mph 1,105 RPM 1,278 RPM 1,343 RPM 1,476 RPM
50 mph 1,842 RPM 2,130 RPM 2,238 RPM 2,460 RPM
70 mph 2,579 RPM 2,982 RPM 3,133 RPM 3,444 RPM

On this page, gear ratio calculator cvt is the case in point: The table makes the trade concrete. At 70 mph the 3.07 cruises at the lowest RPM and the 4.10 at the highest, with a gap of about a third between them, and the same gap appears at 30 and 50 mph because the ratio multiplies the RPM at every speed. A taller ratio suits a vehicle that spends its life cruising; a shorter ratio suits one that tows, climbs or runs bigger tyres. The middle ratios are the compromise, and the worked example above shows how to rework any line of the table for a different tyre diameter: divide the table's RPM by the old diameter and multiply by the new one, or run the formula again from the start.

How tyre diameter changes the answer for gear ratio calculator cvt

Taking gear ratio calculator cvt as the case in point: Diameter matters because the formula divides by it. Double the tyre diameter and the RPM at a given speed halves; increase it by 10% and the RPM falls by roughly 9%. That relationship is also why the speedometer changes with tyre size: the speedometer assumes a fixed number of wheel revolutions per mile, and a bigger tyre covers the mile in fewer revolutions. When this article quotes a tyre diameter it is the nominal new-tyre figure from the size code — for example 205/55R16 measures 631.9 mm, or 24.88 inches — and real tyres vary slightly by brand, model, wear and inflation pressure, so the RPM numbers that follow are good to within a small margin rather than exact.

gear ratio calculator cvt: What the ratio does on the road

Taking gear ratio calculator cvt as the case in point: A ratio is a trade between pulling power and cruising calm, and the tables below make the trade visible. Raising the number lifts the RPM at every speed: the engine works in a stronger part of its range, the vehicle accelerates harder and tows with less strain, but the motorway cruise gets busier and thirstier. Lowering the number drops the RPM everywhere: the cruise gets quieter and usually cheaper, while acceleration softens and the gearbox works harder on grades. The size of the effect is not subtle — moving from 3.21 to 4.10 is a 28% change in RPM at any speed — so a ratio change is one of the biggest single changes that can be made to how a vehicle drives. It is also why the choice should be made from the RPM table with the actual tyre diameter, not from the ratio number alone.

How to find the ratio already fitted for gear ratio calculator cvt

On this page, gear ratio calculator cvt is the case in point: Before choosing a new ratio, establish the one already fitted. The differential cover often carries a stamped metal tag with the ratio, and the owner's manual and door-jamb placard record the factory specification. The VIN, decoded through the manufacturer or a parts catalogue, returns the same build information and is a good cross-check — but it cannot reveal an axle that a previous owner swapped, so it is not conclusive on its own. Counting teeth is conclusive: the ratio is the number of teeth on the ring gear divided by the number on the pinion, so a 41-tooth ring gear driven by an 11-tooth pinion is 41 ÷ 11 = 3.73. Do that check before ordering parts, because every calculation on this page starts from the ratio actually in the axle, not the one the paperwork says should be there.

Common mistakes with gear ratios for gear ratio calculator cvt

For gear ratio calculator cvt, the point is this: The most common mistake is changing the ratio without checking the tyre diameter, or changing the tyres without checking the ratio — the two are one calculation, and doing half of it leaves the gearing wrong in the other direction. The second is comparing ratios across vehicles with different tyre sizes: a 3.73 on 35-inch tyres is effectively taller gearing than a 3.73 on 31-inch tyres, so the number alone does not describe the driving experience. The third is forgetting the gearbox: the formula needs the gear ratio of the gear in use, and overdrive gears below 1.00 change the answer, so a table built for top gear does not apply in third. The fourth is treating a calculated RPM as a promise about fuel use — RPM is one input to consumption, not the whole story, and load, aerodynamics and driving style move the result. And the fifth is assuming a ratio change is a fitment approval: it is a calculation, and clearances, load ratings and the placard still need checking with a professional.

Related pages for gear ratio calculator cvt

Frequently asked questions

How do I work out the RPM for gear ratio calculator cvt?

On this page, gear ratio calculator cvt is the case in point: Use RPM = (speed × gear ratio × final drive × 336) ÷ tyre diameter in inches, with the gear in use and the axle ratio for the vehicle. The worked example above shows the arithmetic at 30, 50 and 70 mph with the assumptions stated, and the gear ratio calculator runs the same formula with your own numbers.

What does a higher gear ratio do?

Taking gear ratio calculator cvt as the case in point: A numerically higher ratio — a shorter gear — raises engine speed at every road speed, multiplies torque more at the wheels, sharpens acceleration and helps towing, at the cost of higher cruising RPM and usually more fuel on steady motorway runs. A lower number does the opposite. The table above shows the RPM for several ratios side by side so the trade is visible.

How does tyre size affect gear ratio?

Taking gear ratio calculator cvt as the case in point: A larger tyre diameter makes the effective gearing taller: the vehicle travels further per wheel revolution, so the engine turns more slowly at a given road speed. A 10% larger diameter cuts cruising RPM by roughly 9% with the same ratio. That is why bigger tyres are usually paired with a numerically higher ratio, to restore the RPM the vehicle had before the tyre change.

Does changing the gear ratio affect the speedometer?

Yes, indirectly: the speedometer is calibrated for a rolling circumference, and a ratio change does not change the tyre, so the speedometer reading itself is unaffected by the ratio alone. What changes is the engine speed at a given road speed. A tyre-size change does affect the speedometer, because it changes the rolling circumference — see the speedometer error calculator for that calculation. That is the point this page works through for gear ratio calculator cvt.

Can I change my gear ratio myself?

Taking gear ratio calculator cvt as the case in point: A ratio change means replacing the ring gear and pinion and setting the backlash and preload precisely, which is a specialist drivetrain job with special tools. An incorrect setup fails quickly and expensively. Most owners have the work done by a drivetrain specialist, who can also confirm the ratio suits the axle, the gearbox and the way the vehicle is used.