Question 1199669: You own a vehicle that according to the owners manual has a speedometer calibrated to work with tires of radius 14 inches. Suppose that you put oversize tires of radius 16 inches on this truck, and then drive along a stretch of the interstate highway where the speed limit is 70 mph. If your speedometer reads 65 mph, are you obeying the law or are you speeding?
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
The speed is proportional to the circumference of the tires, which is proportional to the radius of the tires. If the radius is increased by a factor of 16/14 = 8/7, the speed is increased by a factor of 8/7.
If the speedometer reads 65mph, the actual speed is (8/7)*65, which is greater than 70.
ANSWER: you are speeding
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