SOLUTION: 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 o

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

RELATED QUESTIONS
Your car's speedometer is geared to accurately give your speed using a certain tire size: (answered by Theo,greenestamps)

Your car’s speedometer is geared to accurately give your speed using a certain tire... (answered by ankor@dixie-net.com)

Your car’s speedometer is geared to accurately give your speed using a certain tire... (answered by Boreal)

Car Speedometer. The speedometer of Terry�s Honda CR-V is designed to be accurate with... (answered by richwmiller,brucewill)

The speedometer of Terry's small pickup truck is designed to be accurate with tires of... (answered by Theo)

According to a survey of 2000 home owners, 800 of them own homes with three bedrooms, and (answered by ikleyn)

PLEASE HELP ME You upgraded the tires on your truck. The manufacturer tires are... (answered by Alan3354)

Your car came equipped with 17 inch radius tires. You upgrade to 20 inch wheels and... (answered by ankor@dixie-net.com)

If the tires of a vehicle are rotating 100 times per minute, with a radius of 1 1/2 ft,... (answered by macston)