How to Calculate Speedometer Error Percentage: Formula, Worked Example & Tables

Taking how to calculate speedometer error percentage 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.

For how to calculate speedometer error percentage, the point is this: 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.

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 speedometer error is calculated for how to calculate speedometer error percentage

On this page, how to calculate speedometer error percentage is the case in point: Two formulas cover everything on this page. Error % = (new diameter − old diameter) ÷ old diameter × 100, and actual speed = indicated speed × (new diameter ÷ old diameter). The diameters are the nominal new-tyre figures computed from the size codes — for example 205/55R16 measures 631.9 mm and 225/45R17 measures 634.3 mm — and real tyres vary slightly by brand, model, wear and inflation pressure, so the error figures are accurate to within a small margin rather than exact to the tenth of a percent. A positive error % means the new tyre is larger and the car travels faster than the dial shows; a negative error % means the new tyre is smaller and the car travels slower than the dial shows. The odometer error is the same percentage in the same direction.

What the speedometer actually measures for how to calculate speedometer error percentage

On this page, how to calculate speedometer error percentage is the case in point: Speedometer error is a percentage, not a fixed number of miles per hour, and that is the key to understanding it. The dial shows the speed the car would be doing if the original tyres were fitted, and the actual speed is the indicated speed multiplied by the ratio of the new diameter to the old diameter. A small diameter change gives a small error — a 1% change is 0.7 mph at an indicated 70 mph — while a large change gives an error that matters for speed limits and for the odometer. Because the error is proportional, the same table works at any speed once the percentage is known, and the worked examples in this article show how to find that percentage from the two tyre sizes.

how to calculate speedometer error percentage: Worked example: 205/55R16 to 215/55R16

For how to calculate speedometer error percentage, the point is this: 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.

how to calculate speedometer error percentage: Indicated vs actual speed: the worked example

For how to calculate speedometer error percentage, 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

Taking how to calculate speedometer error percentage as 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.

how to calculate speedometer error percentage: Common causes of a wrong speedometer

For how to calculate speedometer error percentage, the point is this: 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.

How to fix a speedometer error for how to calculate speedometer error percentage

Taking how to calculate speedometer error percentage as the case in point: The fix is chosen by vehicle, not by preference. Modern vehicles with electronic speedometers are usually corrected by reprogramming the tyre-size setting with a diagnostic tool or a handheld programmer, which adjusts the speedometer and the odometer together. Older vehicles with a cable-driven speedometer need a different speedometer drive gear, and the new gear is selected using the diameter ratio — new teeth = old teeth × (old diameter ÷ new diameter) — so the gear compensates exactly for the size change. Where neither is available, an inline signal calibrator fitted to the speed sensor wiring can scale the reading. A dealer may be needed where the setting is locked behind manufacturer software. In every case, measure the error against GPS before and after the fix, at a steady speed on a straight road, to confirm the dial is right.

how to calculate speedometer error percentage: Common mistakes with speedometer error

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. That is the point this page works through for how to calculate speedometer error percentage.

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Frequently asked questions

How do I calculate speedometer error for how to calculate speedometer error percentage?

For how to calculate speedometer error percentage, the point is this: 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?

On this page, how to calculate speedometer error percentage is 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?

Taking how to calculate speedometer error percentage as the case in point: 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?

For how to calculate speedometer error percentage, the point is this: 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.

Does tyre wear affect the speedometer?

For how to calculate speedometer error percentage, the point is this: 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.