The speedometer on your car actually works by measuring the angular speed of you

Question

The speedometer on your car actually works by measuring the angular speed of your wheels, and converts that angular speed into a translational speed for display on your dashboard using the known relationship between angular and translational speed. What would happen to the accuracy of your speedometer if you increased the radius of your tires but did not adjust the speedometer (For example, say you changed from the recommended 15" tires to 16" tires)? A. It would still read accurately B. It would read a speed lower than the actual speed C. It would read a speed faster than the actual speed

Explanation / Answer

It would read speed lower than actual speed.

It is because translational speed = wr where w is angular speed and r is radius.

Since r recorded earlier is less than actuall new r, so speedometer will read less speed.

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