Could suspicious tachometer readings be caused by a change in wheel or tire size?

Dear Car Talk | Mar 01, 1995
Dear Tom and Ray:
Bob
TOM: Gee, Bob, we hate to pick on you. But of all the letters we got suggesting "different wheel size" as a possible explanation, your letter had the best handwriting! The problem is, tire and wheel size does not affect the relationship between the tachometer and speedometer.
RAY: The tachometer simply reads the engine speed, so it's not affected at all by the wheel diameter. And the speedometer reads the vehicle speed--but not from the wheels--- from the output of the transmission. So no matter what size wheels he's got on there, Ken's tachometer speed should be the same for a given speedometer reading.
TOM: In fact, if the car were up on blocks, and it had NO wheels on it, the tachometer and speedometer would still have the same relationship.
RAY: The speedometer wouldn't be RIGHT, of course. If Ken were using smaller tires, his actual SPEED would be lower when the speedometer read 70 mph (he might actually be going 67 or 62 or whatever), but he'd never know that from looking at the gauges on the dashboard.
TOM: So we have to stick by our original guess..er..answer, that the gauge had simply gotten off calibration over the years.
Bob
TOM: Gee, Bob, we hate to pick on you. But of all the letters we got suggesting "different wheel size" as a possible explanation, your letter had the best handwriting! The problem is, tire and wheel size does not affect the relationship between the tachometer and speedometer.
RAY: The tachometer simply reads the engine speed, so it's not affected at all by the wheel diameter. And the speedometer reads the vehicle speed--but not from the wheels--- from the output of the transmission. So no matter what size wheels he's got on there, Ken's tachometer speed should be the same for a given speedometer reading.
TOM: In fact, if the car were up on blocks, and it had NO wheels on it, the tachometer and speedometer would still have the same relationship.
RAY: The speedometer wouldn't be RIGHT, of course. If Ken were using smaller tires, his actual SPEED would be lower when the speedometer read 70 mph (he might actually be going 67 or 62 or whatever), but he'd never know that from looking at the gauges on the dashboard.
TOM: So we have to stick by our original guess..er..answer, that the gauge had simply gotten off calibration over the years.
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