Physics, Angular speed problem?
A car's speedometer is set to read in relationship to the angular speed of the rear wheels. If for winter the tires are changed to larger diameter all–weather tires, would this affect the speedometer reading? Explain. How about the odometer? Thanks.
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Yes it will affect the speedometer reading. The wheels will turn more slowly for the same linear speed, and so the indicated speed will decrease. More specifically, if the radii of the wheels is R0 and R1, the indicated speed will decrease by the factor R0/R1.
Same goes for the odometer. The indicated distance will also decrease by the same factor.