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In: Advanced Math

Suppose your vehicle’s speedometer is geared to accurately give your speed only using a certain tire...

Suppose your vehicle’s speedometer is geared to accurately give your speed only using a certain tire size: 17” diameter wheels (the metal part) and a 6.5” tires (thickness of rubber part).

a. If your vehicle’s instruments are properly calibrated, how many times should your tire rotate per second if you are travelling at 55 miles per hour?

b. Now find the angular speed from part a.

c. Suppose you bought new 7.1” tires for your 17” diameter wheels. You took the for a test run and drove at a constant speed of 55 miles per hour (according to your vehicle’s instrument). However, a law enforcement officer stopped you and claimed that you were speeding in a 55 miles per hour zone. How fast did the officer’s radar clock you at, in miles per hour?

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