Speedometer Error Formula: Formula, Worked Example & Tables

Taking speedometer error formula as the case in point: The speedometer error formula is two short calculations, and this page works through both with real tyre sizes so the result can be checked by hand. Error % = (new diameter − old diameter) ÷ old diameter × 100 gives the percentage, and actual speed = indicated speed × (new diameter ÷ old diameter) gives the true speed at any indicated speed. The worked example uses 205/55R16 (631.9 mm) replaced by 215/55R16 (642.9 mm), a +1.74% change, and the tables show the indicated-versus-actual speeds at 30, 50 and 70 mph. All diameters are nominal new-tyre figures computed from the size codes; real tyres vary slightly by brand, model, wear and inflation pressure.

The formula is worth knowing because it answers every speedometer question from the same two numbers: the old diameter and the new diameter. Change either one and the answer follows, whether the question is about a single size change, a correction factor for a programmer, or the odometer error over a year of driving. The sections below show the arithmetic step by step, the tables for the worked example, the common causes of a wrong reading, how to check the dial against GPS, and when a recalibration is needed — with the disclaimer below applying throughout. That is the point this page works through for speedometer error formula.

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.

speedometer error formula: How the speedometer error is calculated

The arithmetic is short. First find the percentage change: error % = (new diameter − old diameter) ÷ old diameter × 100. Then find the actual speed: actual speed = indicated speed × (new diameter ÷ old diameter). Both formulas use the nominal new-tyre diameters from the size codes, and the tables in this article use those figures throughout. A positive result means the replacement tyre is larger, so the true speed is higher than the indicated speed and the odometer under-records; a negative result means the replacement is smaller, so the true speed is lower than the indicated speed and the odometer over-records. The same percentage applies at every speed, so one calculation covers the whole speed range. That is the point this page works through for speedometer error formula.

What the speedometer actually measures for speedometer error formula

Taking speedometer error formula as the case in point: The speedometer does not measure speed directly. It counts wheel revolutions — from a sensor on the gearbox output, a wheel-speed sensor or the ABS system, depending on the vehicle — and multiplies by the rolling circumference the manufacturer programmed in. That circumference belongs to the original tyre size, so fitting a different diameter changes the distance covered per revolution while the speedometer keeps using the old figure. The result is a fixed percentage error: if the new tyre is 2% larger in diameter, the actual speed is 2% higher than the indicated speed at every speed, and the odometer under-records by the same 2%. The error does not grow or shrink with speed; it is the same percentage at 30 mph and at 70 mph, which is what the tables below show.

speedometer error formula: Worked example: 205/55R16 to 215/55R16

Taking speedometer error formula as the case in point: 205/55R16 measures 631.9 mm in overall diameter and 215/55R16 measures 642.9 mm. The error % is (642.9 − 631.9) ÷ 631.9 × 100 = +1.74%. At an indicated 30 mph the actual speed is 30 × (642.9 ÷ 631.9) = 30.5 mph; at 50 mph it is 50.9 mph; and at 70 mph it is 71.2 mph. The odometer is out by the same 1.74%: it records 98.29 miles for every 100 miles actually driven. The diameter change of 1.74% is inside the ±3% guideline commonly used for keeping speedometer error small, which is why this pair is a useful example — a larger change, such as 235/65R17 (737.3 mm) to 265/70R17 (802.8 mm), is +8.89% and gives 76.2 mph actual at an indicated 70 mph.

Indicated vs actual speed: the worked example for speedometer error formula

For speedometer error formula, the point is this: Error: +1.74%. Actual speed = indicated speed × (642.9 ÷ 631.9).

Indicated speed Actual speed Difference
30 mph 30.5 mph +0.5 mph
50 mph 50.9 mph +0.9 mph
70 mph 71.2 mph +1.2 mph

On this page, speedometer error formula is the case in point: The table is read from the indicated speed: find the dial reading and read across for the actual speed. The difference column is the amount by which the car is travelling faster than the dial shows, and it grows with speed because the error is a percentage. A 1.74% error is 0.5 mph at 30 mph and 1.2 mph at 70 mph — small in both cases, but the direction is the one that matters, because the car is going faster than the driver believes. Check the door-jamb placard for the specified size and confirm fitment with a tyre professional before fitting a different tyre size.

speedometer error formula: Common causes of a wrong speedometer

Tyre size is the most common cause of a speedometer error, but it is not the only one. Worn tyres have a smaller diameter than new ones, so a speedometer calibrated for new tyres reads slightly high as the tread wears — the effect is small, typically well under 1%, but it is real. Under-inflation reduces the effective rolling radius and has the same direction of effect, while over-inflation increases it. A different final-drive ratio does not change the speedometer reading itself, because the sensor measures wheel speed rather than engine speed, but a speedometer drive gear change or a recalibration done for a previous tyre size will leave the dial wrong for the tyres now fitted. And on older vehicles a worn speedometer cable or a failing sensor can make the needle wander or stick, which is a fault rather than a calibration error and needs repair rather than recalibration. That is the point this page works through for speedometer error formula.

How to fix a speedometer error for speedometer error formula

For speedometer error formula, the point is this: There are four common ways to correct a speedometer after a tyre change, and the right one depends on the vehicle. A handheld programmer or diagnostic tool can change the programmed tyre size on many modern vehicles, which corrects both the speedometer and the odometer at once. A speedometer drive gear — a small gear in the gearbox — does the same job mechanically on older vehicles, and the replacement gear is chosen from the diameter ratio. An inline calibrator, wired into the speed sensor signal, can scale the signal on vehicles where neither of the above is possible. And a dealer recalibration uses manufacturer software to change the setting where it is locked to franchised tools. Before spending money on any of them, measure the error against GPS at a steady speed so the correction needed is known, and confirm the method suits the vehicle — the wrong tool for the vehicle wastes the money and leaves the dial wrong.

speedometer error formula: Common mistakes with speedometer error

On this page, speedometer error formula is the case in point: The most common mistake is assuming the speedometer was accurate before the tyre change. Most speedometers are deliberately calibrated to read slightly high — in the UK the law requires that a speedometer never under-reads, and it may over-read by up to 10% plus 4 km/h — so a car that read 2% high on the original tyres and now reads 2% low on larger tyres has actually changed by 4% from what the driver was used to. The second mistake is checking the speedometer against another car's speedometer instead of against GPS: two dials can share the same error. The third is testing at one speed only and assuming the error is a fixed number of mph — it is a percentage, so the mph error grows with speed. And the fourth is treating a calculation as a reason to ignore the limit: if the dial reads low, the car is travelling faster than the driver thinks, and that is the direction that risks a speeding offence.

speedometer error formula: Related pages

Frequently asked questions

How do I calculate speedometer error for speedometer error formula?

Taking speedometer error formula as the case in point: Use error % = (new diameter − old diameter) ÷ old diameter × 100, then actual speed = indicated speed × (new diameter ÷ old diameter). The worked example above uses 205/55R16 (631.9 mm) and 215/55R16 (642.9 mm), a +1.74% change, and the speedometer error calculator runs the same formula with your own sizes.

How much can a speedometer be out?

Taking speedometer error formula as the case in point: It depends on the tyre change. A 1% diameter change is 0.7 mph at an indicated 70 mph; a 3% change is 2.1 mph; an 8.89% change, such as 235/65R17 to 265/70R17, is 6.2 mph at an indicated 70 mph. In the UK the law requires that a speedometer never under-reads and may over-read by up to 10% plus 4 km/h.

Why is my speedometer wrong after new tyres?

For speedometer error formula, the point is this: The usual reason is a different diameter from the size the vehicle was calibrated for: a larger tyre makes the dial read low and a smaller tyre makes it read high, by the diameter percentage. Other causes are wear, pressure, a previous recalibration for a different size, or a sensor fault. Measure the error against GPS at a steady speed to find out which it is.

How do I check my speedometer against GPS?

Drive at a steady speed on a straight, level road and compare the dial with a GPS speed reading. GPS is least reliable at low speed, while accelerating or braking, and on hills or in tunnels, so take the reading at a steady cruise. A difference that is the same percentage at several speeds is a calibration error; a needle that jumps or sticks is a fault. That is the point this page works through for speedometer error formula.

Does tyre wear affect the speedometer?

Taking speedometer error formula as the case in point: Yes, slightly. A worn tyre has a smaller diameter than a new one, so the speedometer reads slightly high as the tread wears — typically well under 1% over the life of the tyre. Under-inflation has the same direction of effect by reducing the effective rolling radius. Both are small compared with a size change, but they are real.