How to Calculate Top Speed From Gear Ratio: How the Ratio Changes RPM and Speed

If you want a straight answer on how to calculate top speed from gear ratio, start with the formula: RPM equals speed times gear ratio times final drive times 336, divided by tyre diameter in inches. That one formula answers every gear-ratio question on this page — what RPM you will see at a given speed, what speed a given RPM means, and what ratio you need when the tyre size changes. This page works the formula step by step, gives RPM tables at 30, 50 and 70 mph, and explains what the numbers mean for acceleration, towing and cruising.

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 to calculate top speed from gear ratio: The RPM formula

RPM = (speed × gear ratio × final drive × 336) ÷ tyre diameter (inches) is the whole method in one line. Speed is in mph, the gear ratio is the transmission gear in use — 1.00 in direct drive, under 1.00 in overdrive, 0.69 for a typical overdrive gear — the final drive is the axle ratio, and 336 is the constant that makes the units work. Turn it round for speed: speed = (RPM × tyre diameter) ÷ (gear ratio × final drive × 336). Diameters here are nominal (new-tyre) figures, and real tyres vary slightly by brand, model, wear and inflation pressure, so take the diameter from the tyre-size chart for your size: a 245/75R16 measures 773.9 mm (30.47 in) across. That is the point this page works through for how to calculate top speed from gear ratio.

how to calculate top speed from gear ratio: Worked example: RPM at 30, 50 and 70 mph

Take a 245/75R16 tyre with a nominal diameter of 773.9 mm (30.47 in) and a 3.92 axle ratio, in direct drive (gear ratio 1.00). At 70 mph, RPM = (70 × 1.00 × 3.92 × 336) ÷ 30.47 = 3,026. At 50 mph the same sum gives 2,161 RPM, and at 30 mph it gives 1,297 RPM. In overdrive — a 0.69 gear ratio, as an example — the 70 mph figure falls to 2,088 RPM, which is why motorway cruising feels relaxed in top gear. Change any one input and the answer moves in proportion: a bigger tyre lowers RPM, a higher ratio raises it, and a taller overdrive gear lowers it again. That is the point this page works through for how to calculate top speed from gear ratio.

RPM table: 30, 50 and 70 mph for how to calculate top speed from gear ratio

On this page, how to calculate top speed from gear ratio is the case in point: RPM for a 3.92 axle ratio on a 245/75R16 tyre (30.47 in diameter). The direct-drive column uses a 1.00 gear ratio; the overdrive column uses 0.69 as an example.

Speed (mph) RPM in direct drive (1.00) RPM in overdrive (0.69)
30 1,297 895
50 2,161 1,491
70 3,026 2,088

how to calculate top speed from gear ratio: Speed at fixed RPM

On this page, how to calculate top speed from gear ratio is the case in point: Rearranged, the formula gives speed from RPM. With the same 3.92 ratio and 30.47-inch tyre, 2,000 RPM in direct drive means 46.3 mph, and 3,000 RPM means 69.4 mph. In overdrive the same 2,000 RPM means 67.1 mph. That is the quickest way to sanity-check a ratio you have found on an axle tag: drive at a steady speed in a known gear, note the RPM, and see whether the formula's answer matches the speedometer. If it does not, either the ratio is not what you thought, the tyre diameter is not what you assumed, or the speedometer itself is off — all three are worth checking before spending money on gears.

What the gear ratio changes for how to calculate top speed from gear ratio

On this page, how to calculate top speed from gear ratio is the case in point: The ratio sets where the engine lives. With a numerically higher ratio, such as 4.10 against 3.21, the engine turns faster at the same road speed and delivers more torque to the wheels — stronger acceleration, easier towing, more noise and usually more fuel on a motorway run. With a numerically lower ratio the engine turns slower, cruising is quieter and more economical, but the vehicle is lazier off the line and downshifts more on hills. A ratio that is too low for the tyre size is its own problem: the engine labours, the transmission hunts, and fuel use can rise rather than fall. Larger tyres have the same effect as a lower ratio, which is why the ratio is the usual correction after a tyre-size change. Judge the choice by the RPM at the speeds you actually drive, not by the size of the number.

how to calculate top speed from gear ratio: Common mistakes

  • On this page, how to calculate top speed from gear ratio is the case in point: Judging a ratio by one speed only. A ratio that looks right at 70 mph can be wrong at 30 mph, so check the RPM at all three speeds in the table before deciding.
  • Assuming the ratio is the same across a model range. Axle ratios vary with engine, tow package and trim, so the ratio on one vehicle is not the ratio on another with the same badge. That is the point this page works through for how to calculate top speed from gear ratio.
  • Taking how to calculate top speed from gear ratio as the case in point: Using the tyre's sidewall size instead of its diameter. The formula needs the overall diameter in inches, not the width or the rim size — a 265/70R17 is 31.61 inches across, and using 17 inches instead would give nonsense.
  • For how to calculate top speed from gear ratio, the point is this: Using the rim size as the tyre diameter. A 17-inch rim is not a 17-inch tyre: the overall diameter includes both sidewalls, so a 265/70R17 is about 31.6 inches across, and using 17 inches in the formula gives nonsense.

how to calculate top speed from gear ratio: Related calculations

On this page, how to calculate top speed from gear ratio is the case in point: For the next step, these pages apply the same method to a closely related question — or hand the arithmetic to the calculator.

how to calculate top speed from gear ratio: Putting your figure to work

For how to calculate top speed from gear ratio, the point is this: Putting the figure to work means using the formula with your own numbers before spending money. Measure the tyre diameter from the chart for your size, find the axle ratio from the tag or the build sheet, and work out the RPM at the speeds you actually drive. If the cruising RPM is far from where the engine is happy, a ratio change is worth pricing — but price the whole job, including the ring and pinion, the installation and the speedometer recalibration, and confirm the choice with a drivetrain specialist. The formula is the cheap part; the gears are the expensive part, and the calculation exists so you only buy them once.

Frequently asked questions

How accurate is the RPM formula?

Taking how to calculate top speed from gear ratio as the case in point: It is exact for the inputs you give it: speed, gear ratio, final drive and tyre diameter. The uncertainty comes from the inputs, mainly the tyre diameter, which is a nominal new-tyre figure that varies slightly with brand, wear and pressure. A few percent either way is normal.

How do I calculate RPM from gear ratio?

Taking how to calculate top speed from gear ratio as the case in point: Use RPM = (speed × gear ratio × final drive × 336) ÷ tyre diameter in inches. Speed is in mph, the gear ratio is the transmission gear (1.00 in direct drive), the final drive is the axle ratio, and the tyre diameter comes from the size chart — for a 245/75R16 it is 30.47 inches.

What happens if my gear ratio is too low?

For how to calculate top speed from gear ratio, the point is this: The engine feels gutless, the transmission hunts between gears on hills, and acceleration from a standstill is sluggish — especially with bigger tyres. The fix is usually a numerically higher ratio, fitted by a drivetrain specialist with the speedometer recalibrated afterwards.

What gear ratio do I need for bigger tyres?

For how to calculate top speed from gear ratio, the point is this: Work out the ratio that restores the stock RPM: new ratio = old ratio × (new tyre diameter ÷ old tyre diameter). Pick the nearest common ratio as a starting point and confirm it with a drivetrain specialist, because transmission gearing and how the vehicle is used also matter.

Can I change just the rear axle ratio on a 4x4?

No — on a four-wheel-drive vehicle the front and rear ratios must match, or the axles will fight each other in four-wheel drive and damage the transfer case. Both axles have to be changed together, which is why a 4x4 gear change costs more than a two-wheel-drive one. That is the point this page works through for how to calculate top speed from gear ratio.