Crawl Ratio Calculator: Formula, Worked Example & Low-Range Tables

Taking crawl ratio calculator as the case in point: Crawl ratio is the total gear reduction available in the lowest gear: first gear × low range × axle ratio, and it decides how slowly and how strongly a vehicle can move over an obstacle. A high crawl ratio lets the engine idle the vehicle forward at walking pace with a large torque multiplication at the wheels, which is what off-road driving needs when traction is poor and the surface is uneven. This page explains the formula, works through a complete example with stated numbers, and shows how changing the axle ratio or the transfer case changes the crawl ratio — with the reminder that every number here is an example to be replaced by the figures for the actual vehicle.

Taking crawl ratio calculator as the case in point: The formula is crawl ratio = first-gear ratio × transfer-case low-range ratio × axle ratio, and because it multiplies three numbers, a small change in any one of them moves the result noticeably. A vehicle with a 4.46 first gear, a 2.72 low range and a 4.10 axle ratio has a crawl ratio of 49.7:1, meaning the engine turns almost fifty times for each wheel revolution in low range. The worked example below shows the arithmetic, the table shows how the crawl ratio changes with different axle ratios, and the rest of the page covers what a high crawl ratio does on the trail, what it costs on the road, and the mistakes people make when they chase a bigger number.

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.

crawl ratio calculator: How the gear ratio formula works

The formula that ties speed, ratio and tyre size together is RPM = (speed × gear ratio × final drive × 336) ÷ tyre diameter in inches. Speed is in miles per hour, gear ratio is the gearbox gear in use, final drive is the axle ratio, and 336 is the constant that converts miles, hours and inches into revolutions per minute. In top gear on most gearboxes the gear ratio is 1.00, so the formula simplifies to RPM = (speed × final drive × 336) ÷ tyre diameter. Turn it around and it gives speed from RPM: speed = (RPM × tyre diameter) ÷ (gear ratio × final drive × 336). Both directions use the same numbers, so a table built from one can be checked from the other, and any result can be verified by hand with a pocket calculator. The tyre diameter used here is the nominal new-tyre figure; real tyres vary slightly by brand, model, wear and inflation pressure. That is the point this page works through for crawl ratio calculator.

crawl ratio calculator: What a gear ratio is

Taking crawl ratio calculator as the case in point: 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.

crawl ratio calculator: Worked example: crawl ratio from first gear, low range and axle ratio

Take a gearbox with a 4.46 first gear, a transfer case with a 2.72 low range, and a 4.10 axle ratio. The crawl ratio is 4.46 × 2.72 × 4.10 = 49.7:1, so the engine turns 49.7 times for each wheel revolution in first gear and low range. At an idle of 700 RPM the wheels turn at 700 ÷ 49.7 = 14.1 RPM, and with 33-inch tyres that is a road speed of about 1.4 mph — slow enough to pick a line over rocks without touching the brakes. Change only the axle ratio to 4.56 and the crawl ratio becomes 4.46 × 2.72 × 4.56 = 55.3:1; change the low range to 4.00 and it becomes 4.46 × 4.00 × 4.10 = 73.1:1. Each input multiplies, so the table below shows the crawl ratio for the common axle ratios with the same example first gear and low range. That is the point this page works through for crawl ratio calculator.

Crawl ratio table: axle ratio compared for crawl ratio calculator

On this page, crawl ratio calculator is the case in point: Assumption: first gear 4.46 and low range 2.72 (examples — use the figures for the actual gearbox and transfer case).

Axle ratio Crawl ratio Wheel RPM at 700 engine RPM
3.73 45.2:1 15.5 RPM
4.10 49.7:1 14.1 RPM
4.56 55.3:1 12.7 RPM
4.88 59.2:1 11.8 RPM

Taking crawl ratio calculator as the case in point: The table shows why the axle ratio is the easiest crawl-ratio change to make and why it is also the bluntest: moving from 3.73 to 4.88 lifts the crawl ratio from 45.3:1 to 59.2:1 with the example gearbox and transfer case, a 31% increase in torque multiplication and a 31% drop in crawl speed. A lower transfer-case ratio — a 4.00 low range instead of 2.72 — moves the number further still, but it is a bigger job and a bigger expense. The right crawl ratio is the one that lets the vehicle move slowly enough for the terrain without the engine labouring, and it is judged on the trail rather than on the chart.

How tyre diameter changes the answer for crawl ratio calculator

Taking crawl ratio calculator 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.

What the ratio does on the road for crawl ratio calculator

For crawl ratio calculator, the point is this: What a ratio change feels like depends on the direction. A shorter ratio — a higher number — raises engine speed at every road speed, sharpens throttle response, makes towing on grades easier and brings the engine into its power band sooner after each gearchange. The price is paid on the motorway: higher cruising RPM, more engine noise and, usually, more fuel used at a steady cruise. A taller ratio — a lower number — does the reverse: quieter, lower-RPM cruising and less fuel at steady speed, at the cost of lazier acceleration and more downshifting on hills or with a load. Neither direction is free, which is why the choice is a compromise between the vehicle's hardest job and its most common one, and why the tables below show the RPM for several ratios side by side instead of recommending one.

crawl ratio calculator: How to find the ratio already fitted

For crawl ratio calculator, the point is this: 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 crawl ratio calculator

On this page, crawl ratio calculator is the case in point: Mistakes usually come from using half the formula. The first is to pick a ratio from a chart without entering the actual tyre diameter — the chart's assumption may be a different size from the tyres on the vehicle, and the answer follows the assumption, not the vehicle. The second is to forget that the gearbox gear matters: first gear multiplies torque far more than top gear, so a crawl or launch question needs the first-gear ratio while a cruising question needs top gear. The third is to read a higher ratio as simply better: it raises cruising RPM, which can raise noise and fuel use on long motorway runs, so the gain in acceleration is paid for at cruising speed. The fourth is to trust a ratio stamped on an axle tag without checking that the axle is original to the vehicle — a swapped axle carries its own ratio. And the fifth is to treat the calculation as permission: the maths says what the RPM will be, not that the change is suitable, so a drivetrain specialist should confirm the choice before parts are ordered.

Related pages for crawl ratio calculator

Frequently asked questions

How do I calculate crawl ratio?

Taking crawl ratio calculator as the case in point: Multiply the first-gear ratio by the transfer-case low-range ratio by the axle ratio. For example, 4.46 × 2.72 × 4.10 = 49.7:1. Use the figures for the actual gearbox, transfer case and axle — the example numbers on this page are illustrations, not the figures for any particular vehicle.

What is a good crawl ratio for off-roading?

On this page, crawl ratio calculator is the case in point: There is no single right number: it depends on the terrain, the tyre size and the engine. A crawl ratio around 50:1 suits general trail driving, while dedicated rock crawling often uses 70:1 or more. Higher is slower and stronger at the wheels, but it also means more drivetrain parts to maintain. Judge it by whether the vehicle can move slowly enough for the terrain without riding the clutch or the brakes.

Does crawl ratio matter in 4Hi?

For crawl ratio calculator, the point is this: In 4Hi the transfer case is in high range, usually 1.00, so the crawl ratio is just first gear × axle ratio — much lower than in low range. Low range is where the crawl ratio matters, because the transfer case multiplies the reduction. That is why low range exists: it gives the slow, high-torque movement that high range cannot.

Does changing the gear ratio affect the speedometer?

Taking crawl ratio calculator as the case in point: 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.

Can I change my gear ratio myself?

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. That is the point this page works through for crawl ratio calculator.